# zbMATH — the first resource for mathematics

## Herbst, Ira W.

Compute Distance To:
 Author ID: herbst.ira-w Published as: Herbst, Ira; Herbst, I.; Herbst, Ira W.; Herbst, I. W.
 Documents Indexed: 68 Publications since 1974
all top 5

#### Co-Authors

 14 single-authored 13 Skibsted, Erik 11 Froese, Richard 9 Hasler, David G. 4 Avron, Joseph E. 4 Simon, Barry 3 Agmon, Shmuel 3 Hempel, Rainer 3 Hoffmann-Ostenhof, Maria 3 Hoffmann-Ostenhof, Thomas 2 Cornean, Horia D. 2 Cruz-Sampedro, Jaime 2 Schach Møller, Jacob 2 Zhao, Zhongxin 1 Babarsky, Richard J. 1 Hinz, Andreas M. 1 Howland, James S. 1 Huber, Matthias 1 Kalf, Hubert 1 Maad Sasane, Sara 1 Martínez-Avendaño, Rubén A. 1 Mavi, Rajinder 1 Nakamura, Shu 1 Nenciu, Gheorghe 1 Pitt, Loren D. 1 Rama, Juliane 1 Sloan, Alan D. 1 Wood, Houston G. III
all top 5

#### Serials

 19 Communications in Mathematical Physics 6 Annales Henri Poincaré 5 Journal of Functional Analysis 4 Journal d’Analyse Mathématique 4 Advances in Mathematics 4 Duke Mathematical Journal 2 Letters in Mathematical Physics 2 Journal of Operator Theory 2 Journal of Physics A: Mathematical and Theoretical 1 Reviews in Mathematical Physics 1 American Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 Probability Theory and Related Fields 1 Annals of Physics 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Physics of Fluids
all top 5

#### Fields

 44 Partial differential equations (35-XX) 41 Quantum theory (81-XX) 16 Operator theory (47-XX) 6 Mechanics of particles and systems (70-XX) 3 Ordinary differential equations (34-XX) 3 Probability theory and stochastic processes (60-XX) 3 Optics, electromagnetic theory (78-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

66 Publications have been cited 1,398 times in 983 Documents Cited by Year
Schrödinger operators with magnetic fields. I: General interactions. Zbl 0399.35029
Avron, J.; Herbst, I.; Simon, B.
1978
Spectral theory of the operator $$(p^2+m^2)^{1/2}-Ze^2/r$$. Zbl 0375.35047
Herbst, Ira W.
1977
Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators. Zbl 0509.35061
Froese, Richard; Herbst, Ira
1982
Spectral and scattering theory of Schrödinger operators related to the Stark effect. Zbl 0351.47007
Avron, J. E.; Herbst, I. W.
1977
A new proof of the Mourre estimate. Zbl 0514.35025
Froese, Richard; Herbst, Ira
1982
Schrödinger operators with magnetic fields. III: Atoms in homogeneous magnetic field. Zbl 0464.35086
Avron, J. E.; Herbst, I. W.; Simon, B.
1981
Dilation analyticity in constant electric field I. The two body problem. Zbl 0447.47028
Herbst, Ira W.
1979
Separation of center of mass in homogeneous magnetic fields. Zbl 0409.35027
Avron, J. E.; Herbst, I. W.; Simon, B.
1978
On the absence of positive eigenvalues for one-body Schrödinger operators. Zbl 0512.35062
Froese, Richard; Herbst, Ira; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
1982
Perturbation of translation invariant positivity preserving semigroups on $$L^2(R^N)$$. Zbl 0388.47022
Herbst, Ira W.; Sloan, Alan D.
1978
Dilation analyticity in constant electric field. II: N-body problem, Borel summability. Zbl 0473.47038
Herbst, Ira W.; Simon, B.
1981
Unitary equivalence of Stark Hamiltonians. Zbl 0338.47009
Herbst, Ira W.
1977
Ground states in the spin Boson model. Zbl 1222.81160
Hasler, David; Herbst, Ira
2011
Strong magnetic fields, Dirichlet boundaries, and spectral gaps. Zbl 0827.35031
Hempel, Rainer; Herbst, Ira
1995
Perturbation of embedded eigenvalues in the generalized N-body problem. Zbl 0668.35078
Agmon, Shmuel; Herbst, Ira; Skibsted, Erik
1989
$$L^2$$-exponential lower bounds to solutions of the Schrödinger equation. Zbl 0514.35024
Froese, Richard; Herbst, Ira; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
1982
The spectrum of Hilbert space semigroups. Zbl 0535.47024
Herbst, I.
1983
Realizing holonomic constraints in classical and quantum mechanics. Zbl 1007.37031
Froese, Richard; Herbst, Ira
2001
On the self-adjointness and domain of Pauli-Fierz type Hamiltonians. Zbl 1159.81024
Hasler, D.; Herbst, I.
2008
Diffusion equation techniques in stochastic monotonicity and positive correlations. Zbl 0688.60062
Herbst, Ira; Pitt, Loren
1991
Spectral analysis of $$N$$-body Stark Hamiltonians. Zbl 0846.35095
Herbst, Ira; Møller, Jacob Schach; Skibsted, Erik
1995
Asymptotic completeness for $$N$$-body Stark Hamiltonians. Zbl 0846.35096
Herbst, Ira; Møller, Jacob Schach; Skibsted, Erik
1996
Absence of ground states for a class of translation invariant models of non-relativistic QED. Zbl 1143.81022
Hasler, D.; Herbst, I.
2008
$$L^ 2$$-lower bounds to solutions of one-body Schrödinger equations. Zbl 0547.35038
Froese, R.; Herbst, I.; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
1983
The Stark ladder and other one-dimensional external field problems. Zbl 0473.47037
Herbst, I. W.; Howland, J. S.
1981
Spectral and scattering theory for Schrödinger operators with potentials independent of $$| x|$$. Zbl 0732.35063
Herbst, Ira W.
1991
Classical scattering with long range forces. Zbl 0309.70011
Herbst, Ira W.
1974
Free channel Fourier transform in the long-range $$N$$-body problem. Zbl 0866.70008
Herbst, Ira; Skibsted, Erik
1995
On the lifetime of quasi-stationary states in non-relativistic QED. Zbl 1151.81043
Hasler, David; Herbst, Ira; Huber, Matthias
2008
On the construction of composite Wannier functions. Zbl 1357.82069
Cornean, Horia D.; Herbst, Ira; Nenciu, Gheorghe
2016
Convergent expansions in non-relativistic QED: analyticity of the ground state. Zbl 1229.81343
Hasler, D.; Herbst, I.
2011
Generalized Fourier transform for Schrödinger operators with potentials of order zero. Zbl 0937.35033
Agmon, Shmuel; Cruz-Sampedro, Jaime; Herbst, Ira
1999
Green’s functions for the Schrödinger equation with short-range potentials. Zbl 0728.35027
Herbst, Ira W.; Zhao, Zhongxin
1989
Perturbations of the Wigner-von Neumann potential leaving the embedded eigenvalue fixed. Zbl 1021.81016
Cruz-Sampedro, J.; Herbst, I.; Martínez-Avendaño, R.
2002
Exponential lower bounds to solutions of the Schrödinger equation: lower bounds for the spherical average. Zbl 0556.35031
Froese, Richard; Herbst, Ira
1983
Bands and gaps for periodic magnetic Hamiltonians. Zbl 0849.35091
Hempel, R.; Herbst, I.
1995
Persistence of embedded eigenvalues. Zbl 1244.47016
Agmon, Shmuel; Herbst, Ira; Sasane, Sara Maad
2011
Time-dependent approach to radiation conditions. Zbl 0756.35063
Herbst, Ira; Skibsted, Erik
1991
Quantum scattering for potentials independent of $$|x|$$: asymptotic completeness for high and low energies. Zbl 1064.35128
Herbst, Ira; Skibsted, Erik
2004
Uniqueness of the ground state in the Feshbach renormalization analysis. Zbl 1253.81098
Hasler, David; Herbst, Ira
2012
Exponential decay in the Stark effect. Zbl 0482.35034
Herbst, Ira W.
1980
Temporal exponential decay for the Stark effect in atoms. Zbl 0503.35029
Herbst, I.
1982
Smoothness and analyticity of perturbation expansions in QED. Zbl 1235.81136
Hasler, D.; Herbst, I.
2011
Intervals of dense point spectrum for spherically symmetric Schrödinger operators of the type $$-\Delta+\cos| x|$$. Zbl 0741.35009
Hempel, Rainer; Herbst, Ira; Hinz, Andreas M.; Kalf, Hubert
1991
Schrödinger operators with strong magnetic fields: Quasi-periodicity of spectral orbits and topology. Zbl 0921.35142
Herbst, Ira; Nakamura, Shu
1999
Decay of eigenfunctions of elliptic PDE’s. I. Zbl 1328.81115
Herbst, I.; Skibsted, E.
2015
Contraction semigroups and the spectrum of ($$A_ 1$$ x I) + (I x $$A_ 2)$$. Zbl 0484.47017
Herbst, Ira W.
1982
Lower bounds in cones for solutions to the Schrödinger equation. Zbl 0627.35022
Herbst, Ira W.
1986
Sobolev spaces, Kac-regularity, and the Feynman-Kac formula. Zbl 0656.60089
Herbst, Ira W.; Zhao, Zhongxin
1988
Instability of pre-existing resonances under a small constant electric field. Zbl 1405.81035
Herbst, Ira; Rama, Juliane
2015
Perturbation theory for the decay rate of eigenfunctions in the generalized $$N$$-body problem. Zbl 0819.35105
Herbst, I.
1993
Exponential decay in the Stark effect. Zbl 0476.47032
Herbst, I. W.
1980
Absence of quantum states corresponding to unstable classical channels. Zbl 1141.81029
Herbst, Ira; Skibsted, Erik
2008
Patterns of exponential decay for solutions to second order elliptic equations in a sector of $${\mathbb{R}}^ 2$$. Zbl 0657.35047
Froese, Richard; Herbst, Ira
1987
Realizing holonomic constraints in classical and quantum mechanics. Zbl 1056.81508
Froese, Richard; Herbst, Ira
2000
Translation invariance of n-particle Schrödinger operators in homogeneous magnetic fields. Zbl 0481.35036
Herbst, I. W.
1980
Can we trust the relationship between resonance poles and lifetimes? Zbl 1432.81061
Herbst, Ira; Mavi, Rajinder
2016
Decay of eigenfunctions of elliptic PDE’s. II. Zbl 1364.35209
Herbst, I.; Skibsted, E.
2017
A new variational approach to gas flow in a rotating system. Zbl 1185.76038
Babarsky, Richard J.; Herbst, Ira W.; Wood, Houston G.
2002
Resonances – lost and found. Zbl 1376.81024
Froese, Richard; Herbst, Ira
2017
Ground state properties in non-relativistic QED. Zbl 1238.81176
Hasler, David; Herbst, Ira
2011
Quantum scattering for potentials homogeneous of degree zero. Zbl 1042.81095
Herbst, I.; Skibsted, E.
2002
Barry Simon’s work on electric and magnetic fields and the semi-classical limit. Zbl 1132.81343
Herbst, Ira W.
2007
A vanishing theorem for operators in Fock space. Zbl 1257.81070
Hasler, David; Herbst, Ira
2012
Spiraling attractors and quantum dynamics for a class of long-range magnetic fields. Zbl 1125.35069
Cornean, Horia D.; Herbst, Ira; Skibsted, Erik
2007
Analyticity estimates for the Navier-Stokes equations. Zbl 1284.35315
Herbst, I.; Skibsted, E.
2011
Decay of eigenfunctions of elliptic PDE’s. II. Zbl 1364.35209
Herbst, I.; Skibsted, E.
2017
Resonances – lost and found. Zbl 1376.81024
Froese, Richard; Herbst, Ira
2017
On the construction of composite Wannier functions. Zbl 1357.82069
Cornean, Horia D.; Herbst, Ira; Nenciu, Gheorghe
2016
Can we trust the relationship between resonance poles and lifetimes? Zbl 1432.81061
Herbst, Ira; Mavi, Rajinder
2016
Decay of eigenfunctions of elliptic PDE’s. I. Zbl 1328.81115
Herbst, I.; Skibsted, E.
2015
Instability of pre-existing resonances under a small constant electric field. Zbl 1405.81035
Herbst, Ira; Rama, Juliane
2015
Uniqueness of the ground state in the Feshbach renormalization analysis. Zbl 1253.81098
Hasler, David; Herbst, Ira
2012
A vanishing theorem for operators in Fock space. Zbl 1257.81070
Hasler, David; Herbst, Ira
2012
Ground states in the spin Boson model. Zbl 1222.81160
Hasler, David; Herbst, Ira
2011
Convergent expansions in non-relativistic QED: analyticity of the ground state. Zbl 1229.81343
Hasler, D.; Herbst, I.
2011
Persistence of embedded eigenvalues. Zbl 1244.47016
Agmon, Shmuel; Herbst, Ira; Sasane, Sara Maad
2011
Smoothness and analyticity of perturbation expansions in QED. Zbl 1235.81136
Hasler, D.; Herbst, I.
2011
Ground state properties in non-relativistic QED. Zbl 1238.81176
Hasler, David; Herbst, Ira
2011
Analyticity estimates for the Navier-Stokes equations. Zbl 1284.35315
Herbst, I.; Skibsted, E.
2011
On the self-adjointness and domain of Pauli-Fierz type Hamiltonians. Zbl 1159.81024
Hasler, D.; Herbst, I.
2008
Absence of ground states for a class of translation invariant models of non-relativistic QED. Zbl 1143.81022
Hasler, D.; Herbst, I.
2008
On the lifetime of quasi-stationary states in non-relativistic QED. Zbl 1151.81043
Hasler, David; Herbst, Ira; Huber, Matthias
2008
Absence of quantum states corresponding to unstable classical channels. Zbl 1141.81029
Herbst, Ira; Skibsted, Erik
2008
Barry Simon’s work on electric and magnetic fields and the semi-classical limit. Zbl 1132.81343
Herbst, Ira W.
2007
Spiraling attractors and quantum dynamics for a class of long-range magnetic fields. Zbl 1125.35069
Cornean, Horia D.; Herbst, Ira; Skibsted, Erik
2007
Quantum scattering for potentials independent of $$|x|$$: asymptotic completeness for high and low energies. Zbl 1064.35128
Herbst, Ira; Skibsted, Erik
2004
Perturbations of the Wigner-von Neumann potential leaving the embedded eigenvalue fixed. Zbl 1021.81016
Cruz-Sampedro, J.; Herbst, I.; Martínez-Avendaño, R.
2002
A new variational approach to gas flow in a rotating system. Zbl 1185.76038
Babarsky, Richard J.; Herbst, Ira W.; Wood, Houston G.
2002
Quantum scattering for potentials homogeneous of degree zero. Zbl 1042.81095
Herbst, I.; Skibsted, E.
2002
Realizing holonomic constraints in classical and quantum mechanics. Zbl 1007.37031
Froese, Richard; Herbst, Ira
2001
Realizing holonomic constraints in classical and quantum mechanics. Zbl 1056.81508
Froese, Richard; Herbst, Ira
2000
Generalized Fourier transform for Schrödinger operators with potentials of order zero. Zbl 0937.35033
Agmon, Shmuel; Cruz-Sampedro, Jaime; Herbst, Ira
1999
Schrödinger operators with strong magnetic fields: Quasi-periodicity of spectral orbits and topology. Zbl 0921.35142
Herbst, Ira; Nakamura, Shu
1999
Asymptotic completeness for $$N$$-body Stark Hamiltonians. Zbl 0846.35096
Herbst, Ira; Møller, Jacob Schach; Skibsted, Erik
1996
Strong magnetic fields, Dirichlet boundaries, and spectral gaps. Zbl 0827.35031
Hempel, Rainer; Herbst, Ira
1995
Spectral analysis of $$N$$-body Stark Hamiltonians. Zbl 0846.35095
Herbst, Ira; Møller, Jacob Schach; Skibsted, Erik
1995
Free channel Fourier transform in the long-range $$N$$-body problem. Zbl 0866.70008
Herbst, Ira; Skibsted, Erik
1995
Bands and gaps for periodic magnetic Hamiltonians. Zbl 0849.35091
Hempel, R.; Herbst, I.
1995
Perturbation theory for the decay rate of eigenfunctions in the generalized $$N$$-body problem. Zbl 0819.35105
Herbst, I.
1993
Diffusion equation techniques in stochastic monotonicity and positive correlations. Zbl 0688.60062
Herbst, Ira; Pitt, Loren
1991
Spectral and scattering theory for Schrödinger operators with potentials independent of $$| x|$$. Zbl 0732.35063
Herbst, Ira W.
1991
Time-dependent approach to radiation conditions. Zbl 0756.35063
Herbst, Ira; Skibsted, Erik
1991
Intervals of dense point spectrum for spherically symmetric Schrödinger operators of the type $$-\Delta+\cos| x|$$. Zbl 0741.35009
Hempel, Rainer; Herbst, Ira; Hinz, Andreas M.; Kalf, Hubert
1991
Perturbation of embedded eigenvalues in the generalized N-body problem. Zbl 0668.35078
Agmon, Shmuel; Herbst, Ira; Skibsted, Erik
1989
Green’s functions for the Schrödinger equation with short-range potentials. Zbl 0728.35027
Herbst, Ira W.; Zhao, Zhongxin
1989
Sobolev spaces, Kac-regularity, and the Feynman-Kac formula. Zbl 0656.60089
Herbst, Ira W.; Zhao, Zhongxin
1988
Patterns of exponential decay for solutions to second order elliptic equations in a sector of $${\mathbb{R}}^ 2$$. Zbl 0657.35047
Froese, Richard; Herbst, Ira
1987
Lower bounds in cones for solutions to the Schrödinger equation. Zbl 0627.35022
Herbst, Ira W.
1986
The spectrum of Hilbert space semigroups. Zbl 0535.47024
Herbst, I.
1983
$$L^ 2$$-lower bounds to solutions of one-body Schrödinger equations. Zbl 0547.35038
Froese, R.; Herbst, I.; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
1983
Exponential lower bounds to solutions of the Schrödinger equation: lower bounds for the spherical average. Zbl 0556.35031
Froese, Richard; Herbst, Ira
1983
Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators. Zbl 0509.35061
Froese, Richard; Herbst, Ira
1982
A new proof of the Mourre estimate. Zbl 0514.35025
Froese, Richard; Herbst, Ira
1982
On the absence of positive eigenvalues for one-body Schrödinger operators. Zbl 0512.35062
Froese, Richard; Herbst, Ira; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
1982
$$L^2$$-exponential lower bounds to solutions of the Schrödinger equation. Zbl 0514.35024
Froese, Richard; Herbst, Ira; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
1982
Temporal exponential decay for the Stark effect in atoms. Zbl 0503.35029
Herbst, I.
1982
Contraction semigroups and the spectrum of ($$A_ 1$$ x I) + (I x $$A_ 2)$$. Zbl 0484.47017
Herbst, Ira W.
1982
Schrödinger operators with magnetic fields. III: Atoms in homogeneous magnetic field. Zbl 0464.35086
Avron, J. E.; Herbst, I. W.; Simon, B.
1981
Dilation analyticity in constant electric field. II: N-body problem, Borel summability. Zbl 0473.47038
Herbst, Ira W.; Simon, B.
1981
The Stark ladder and other one-dimensional external field problems. Zbl 0473.47037
Herbst, I. W.; Howland, J. S.
1981
Exponential decay in the Stark effect. Zbl 0482.35034
Herbst, Ira W.
1980
Exponential decay in the Stark effect. Zbl 0476.47032
Herbst, I. W.
1980
Translation invariance of n-particle Schrödinger operators in homogeneous magnetic fields. Zbl 0481.35036
Herbst, I. W.
1980
Dilation analyticity in constant electric field I. The two body problem. Zbl 0447.47028
Herbst, Ira W.
1979
Schrödinger operators with magnetic fields. I: General interactions. Zbl 0399.35029
Avron, J.; Herbst, I.; Simon, B.
1978
Separation of center of mass in homogeneous magnetic fields. Zbl 0409.35027
Avron, J. E.; Herbst, I. W.; Simon, B.
1978
Perturbation of translation invariant positivity preserving semigroups on $$L^2(R^N)$$. Zbl 0388.47022
Herbst, Ira W.; Sloan, Alan D.
1978
Spectral theory of the operator $$(p^2+m^2)^{1/2}-Ze^2/r$$. Zbl 0375.35047
Herbst, Ira W.
1977
Spectral and scattering theory of Schrödinger operators related to the Stark effect. Zbl 0351.47007
Avron, J. E.; Herbst, I. W.
1977
Unitary equivalence of Stark Hamiltonians. Zbl 0338.47009
Herbst, Ira W.
1977
Classical scattering with long range forces. Zbl 0309.70011
Herbst, Ira W.
1974
all top 5

#### Cited by 864 Authors

 37 Herbst, Ira W. 27 Skibsted, Erik 21 Sigal, Israel Michael 20 Simon, Barry 17 Helffer, Bernard 15 Fournais, Søren 15 Raikov, Georgi D. 14 Faupin, Jérémy 12 Adachi, Tadayoshi 12 Lieb, Elliott H. 12 Vasy, András 11 Fröhlich, Jürg Martin 11 Jensen, Arne 11 Ozawa, Tohru 10 Hoffmann-Ostenhof, Maria 10 Pushnitski, Alexander B. 10 Schach Møller, Jacob 10 Wang, Xueping 10 Zhislin, Grigoriĭ M. 9 Ballesteros, Miguel 9 Chen, Zhen-Qing 9 Cornean, Horia D. 9 Gesztesy, Fritz 9 Hoffmann-Ostenhof, Thomas 9 Siedentop, Heinz Karl Heinrich 9 Tamura, Hideo 8 Briet, Philippe 8 Bruneau, Vincent 8 Dereziński, Jan 8 Froese, Richard 8 Gérard, Christian 8 Hasler, David G. 8 Hiroshima, Fumio 7 Bach, Volker 7 Erdős, László 7 Graffi, Sandro 7 Grecchi, Vincenzo 7 Ito, Kenichi 7 Kuwae, Kazuhiro 7 Melgaard, Michael 7 Squassina, Marco 6 Abdellaoui, Boumediene 6 Bony, Jean-François 6 Felli, Veronica 6 Frank, Rupert L. 6 Griesemer, Marcel 6 Hassell, Andrew 6 Hempel, Rainer 6 Kim, Panki 6 Lörinczi, József 6 Loss, Michael 6 Lucha, Wolfgang 6 Maioli, Marco 6 Peral Alonso, Ireneo 6 Sambou, Diomba 6 Schöberl, Franz F. 6 Shen, Zhongwei 6 Sobolev, Alexander V. 6 Soffer, Avraham 6 Solovej, Jan Philip 6 Teufel, Stefan 6 Vugalter, Semen A. 5 Amour, Laurent 5 Ben-Artzi, Matania 5 Bollé, D. 5 de Oliveira, César R. 5 Deckert, Dirk-André 5 Dybalski, Wojciech 5 Fall, Mouhamed Moustapha 5 Kim, Daehong 5 Korotyaev, Evgeny L. 5 Krejčiřík, David 5 Lewin, Mathieu 5 Matte, Oliver 5 Monaco, Domenico 5 Nenciu, Gheorghe 5 Primo, Ana R. M. 5 Purice, Radu 5 Sørensen, Thomas Østergaard 4 Boutet de Monvel, Anne Marie 4 Caliceti, Emanuela 4 Carmona, René A. 4 Chen, Lu 4 Cruz-Sampedro, Jaime 4 Georgescu, Vladimir 4 Golénia, Sylvain 4 Hislop, Peter D. 4 Kordyukov, Yuri A. 4 Kovařík, Hynek 4 Kuchment, Peter A. 4 Łaba, Izabella 4 Lu, Guozhen 4 Machihara, Shuji 4 Michel, Laurent 4 Møller, Jacob S. 4 Morame, Abderemane 4 Musina, Roberta 4 Nakamura, Shu 4 Nazarov, Alexander I. 4 Osborn, T. A. ...and 764 more Authors
all top 5

#### Cited in 173 Serials

 116 Communications in Mathematical Physics 94 Journal of Mathematical Physics 77 Journal of Functional Analysis 39 Communications in Partial Differential Equations 34 Annales Henri Poincaré 33 Annales de l’Institut Henri Poincaré. Physique Théorique 31 Reviews in Mathematical Physics 28 Letters in Mathematical Physics 23 Journal of Mathematical Analysis and Applications 21 Duke Mathematical Journal 19 Journal of Differential Equations 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Advances in Mathematics 15 Journal d’Analyse Mathématique 15 Mathematische Zeitschrift 14 Transactions of the American Mathematical Society 13 Integral Equations and Operator Theory 13 Calculus of Variations and Partial Differential Equations 12 Annales de l’Institut Fourier 12 Proceedings of the American Mathematical Society 10 International Journal of Modern Physics A 9 Theoretical and Mathematical Physics 9 Journal of Soviet Mathematics 9 Publications of the Research Institute for Mathematical Sciences, Kyoto University 8 Functional Analysis and its Applications 8 Mathematische Annalen 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Journal of Spectral Theory 6 Journal of Statistical Physics 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Reports on Mathematical Physics 5 Probability Theory and Related Fields 5 Bulletin of the American Mathematical Society. New Series 5 St. Petersburg Mathematical Journal 5 Mathematical Physics, Analysis and Geometry 5 Physical Review Letters 5 Complex Variables and Elliptic Equations 4 Archive for Rational Mechanics and Analysis 4 Israel Journal of Mathematics 4 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 4 Manuscripta Mathematica 4 The Journal of Geometric Analysis 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Potential Analysis 4 Journal of Mathematical Sciences (New York) 4 Communications in Contemporary Mathematics 3 The Annals of Probability 3 Acta Applicandae Mathematicae 3 Journal of Inequalities and Applications 3 Journal of the European Mathematical Society (JEMS) 3 Acta Mathematica Sinica. English Series 2 Applicable Analysis 2 Journal of Computational Physics 2 Mathematical Methods in the Applied Sciences 2 Mathematical Notes 2 Nuclear Physics. B 2 Physics Reports 2 Journal of Geometry and Physics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Journal of Applied Probability 2 Journal of the Mathematical Society of Japan 2 Monatshefte für Mathematik 2 Nagoya Mathematical Journal 2 Tohoku Mathematical Journal. Second Series 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Revista Matemática Iberoamericana 2 Forum Mathematicum 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Annals of Physics 2 SIAM Journal on Mathematical Analysis 2 Stochastic Processes and their Applications 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Electronic Journal of Differential Equations (EJDE) 2 Discrete and Continuous Dynamical Systems 2 Documenta Mathematica 2 Doklady Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Communications on Pure and Applied Analysis 2 Central European Journal of Mathematics 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Journal of Fixed Point Theory and Applications 2 Advances in Calculus of Variations 2 Journal of Pseudo-Differential Operators and Applications 2 Bulletin of Mathematical Sciences 2 Annals of PDE 1 Computers and Fluids 1 Communications on Pure and Applied Mathematics 1 International Journal of Theoretical Physics 1 Inverse Problems 1 Journal of Fluid Mechanics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Physics Letters. B 1 Studia Mathematica 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Arkiv för Matematik ...and 73 more Serials
all top 5

#### Cited in 47 Fields

 574 Partial differential equations (35-XX) 551 Quantum theory (81-XX) 327 Operator theory (47-XX) 78 Functional analysis (46-XX) 63 Statistical mechanics, structure of matter (82-XX) 60 Probability theory and stochastic processes (60-XX) 56 Global analysis, analysis on manifolds (58-XX) 55 Ordinary differential equations (34-XX) 39 Real functions (26-XX) 31 Optics, electromagnetic theory (78-XX) 23 Mechanics of particles and systems (70-XX) 17 Potential theory (31-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 12 Dynamical systems and ergodic theory (37-XX) 9 Differential geometry (53-XX) 9 Relativity and gravitational theory (83-XX) 8 Special functions (33-XX) 8 Integral equations (45-XX) 7 Functions of a complex variable (30-XX) 7 Numerical analysis (65-XX) 7 Fluid mechanics (76-XX) 6 Number theory (11-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Astronomy and astrophysics (85-XX) 4 Topological groups, Lie groups (22-XX) 4 Abstract harmonic analysis (43-XX) 3 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Difference and functional equations (39-XX) 3 Manifolds and cell complexes (57-XX) 3 Statistics (62-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Algebraic topology (55-XX) 2 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX)