## Found 168 Documents (Results 1–100)

100
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### Spectral flow for pair compatible equipartitions. (English)Zbl 1484.35293

MSC:  35P05 35J05 35J25
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### Limiting absorption principle and radiation condition for repulsive Hamiltonians. (English)Zbl 1472.81075

MSC:  81Q05 35J10 35P05
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### Growth of Sobolev norms for abstract linear Schrödinger equations. (English)Zbl 1460.35307

MSC:  35Q41 47G30
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MSC:  81Q12
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### On contact interactions realised as Friedrichs systems. (English)Zbl 1433.35319

MSC:  35Q40 35F45 81Q10
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### On non self-adjoint operators defined by Riesz bases in Hilbert and rigged Hilbert spaces. (English)Zbl 07084889

Katz, Alexander (ed.), Topological algebras and their applications. Proceedings of the 8th international conference on topological algebras and their applications (ICTAA-2014), May 26–30, 2014, Playa de Villas de Mar Beach, Dominican Republic. Dedicated to the memory of Anastasios Mallios. Berlin: De Gruyter. De Gruyter Proc. Math., 29-54 (2018).
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### Generalized Mehler formula for time-dependent non-selfadjoint quadratic operators and propagation of singularities. (English)Zbl 1405.35270

MSC:  35S05 47D06
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### On time dependent Schrödinger equations: global well-posedness and growth of Sobolev norms. (English)Zbl 1366.35153

MSC:  35Q41 47G30
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### Well-posedness of non-autonomous linear evolution equations in uniformly convex spaces. (English)Zbl 1373.47046

MSC:  47D06 34K30 81Q99
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### Splitting enables overcoming the curse of dimensionality. (English)Zbl 1372.65190

Glowinski, Roland (ed.) et al., Splitting methods in communication and imaging, science, and engineering. Cham: Springer (ISBN 978-3-319-41587-1/hbk; 978-3-319-41589-5/ebook). Scientific Computation, 427-432 (2016).
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MSC:  82B44
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### On a magnetic characterization of spectral minimal partitions. (English)Zbl 1282.35259

MSC:  35P05 35B05
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### On Jordan’s theorem. (English. Russian original)Zbl 1264.15002

J. Math. Sci., New York 186, No. 5, 713-714 (2012); translation from Sovrem. Mat. Prilozh. 74 (2011).
MSC:  15A03 15A21
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### On the theory of $$\mathcal{PT}$$-symmetric operators. (English. Russian original)Zbl 1275.47085

Ukr. Math. J. 64, No. 1, 35-55 (2012); translation from Ukr. Mat. Zh. 64, No. 1, 32-49 (2012).
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### On pseudo-Hermitian operators with generalized $$\mathcal C$$-symmetries. (English)Zbl 1194.47018

Adamyan, Vadim (ed.) et al., Modern analysis and applications. The Mark Krein centenary conference. Volume 1: Operator theory and related topics. Papers based on invited talks at the international conference on modern analysis and applications, Odessa, Ukraine, April 9–14, 2007. Basel: Birkhäuser (ISBN 978-3-7643-9918-4/v.1; 978-3-7643-9919-1/ebook; 978-3-7643-9924-5/set). Operator Theory: Advances and Applications 190, 375-385 (2009).
MSC:  47A55 81Q05 81Q15
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### Generalized eigenfunctions of relativistic Schrödinger operators in two dimensions. (English)Zbl 1173.35616

MSC:  35P10 81U05 47A40
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### Generalized eigenfunctions of relativistic Schrödinger operators. I. (English)Zbl 1118.35051

MSC:  35Q75 47G30 47A40
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### On a class of Hamiltonians with (classical) isochronous motions and (quantal) equi-spaced spectra. (English)Zbl 1130.81035

MSC:  81Q10 35Q40
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### Linear representation of energy-dependent Hamiltonians. (English)Zbl 1161.81355

MSC:  81Q05 35Q40
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### Pauli-Fierz Hamiltonians defined as quadratic forms. (English)Zbl 1161.81358

MSC:  81Q10 47N50 47B25
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### Local smoothing property and Strichartz inequality for Schrödinger equations with potentials superquadratic at infinity. (English)Zbl 1060.35121

MSC:  35Q40 81Q05 81Q20
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### Parameter differentiation and quantum state decomposition for time varying Schrödinger equations. (English)Zbl 1058.81010

MSC:  81Q05 81R05 20G45
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### A fast algorithm for the solution of the time-independent Gross–Pitaevskii equation. (English)Zbl 1027.65157

MSC:  65N35 35Q40
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### On the existence of wave operators. (English)Zbl 1047.47007

Kubrusly, Carlos (ed.) et al., Semigroups of operators: theory and applications. Proceedings of the 2nd international conference, Rio de Janeiro, Brazil, September 10–14, 2001. New York, NY: Optimization Software Inc., Publications (ISBN 0-911575-11-1/hbk). 300-329 (2002).
MSC:  47A40

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### Multiparticle quantum scattering in constant magnetic fields. (English)Zbl 1044.81123

Mathematical Surveys and Monographs 90. Providence, RI: AMS, American Mathematical Society (ISBN 0-8218-2919-X). xiii, 242 p. (2002).

### Relativistic Lamé functions revisited. (English)Zbl 1033.39004

MSC:  39A10 81R50 33D80 37J05
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### Nonperturbative techniques in the investigation of the spectral properties of many-channel systems. (English)Zbl 1024.47050

Demuth, Michael (ed.) et al., Partial differential equations and spectral theory. Proceedings of the PDE 2000 conference, Clausthal, Germany, July 24-28, 2000. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 126, 155-163 (2001).

### First KdV integrals and absolutely continuous spectrum for 1-D Schrödinger operator. (English)Zbl 0980.35149

MSC:  35Q53 35J10 35P05
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### Spectral properties at a threshold for two-channel Hamiltonians. I: Abstract theory. (English)Zbl 0973.35144

MSC:  35P05 47A10 35C10
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### Twist maps, kicked rotors, and quantum chaos. (English)Zbl 0984.35116

Gesztesy, Fritz (ed.) et al., Stochastic processes, physics and geometry: New interplays. II. A volume in honor of Sergio Albeverio. Proceedings of the conference on infinite dimensional (stochastic) analysis and quantum physics, Leipzig, Germany, January 18-22, 1999. Providence, RI: American Mathematical Society (AMS). CMS Conf. Proc. 29, 377-383 (2000).
MSC:  35P05 81Q50

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MSC:  81R05
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### Localization for one dimensional long range random Hamiltonians. (English)Zbl 0979.82038

MSC:  82B44 47N55 47B39
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### Absolute continuity of convolutions of singular measures and new branches of spectrum of Liouvillians and few-body Hamiltonians. (English)Zbl 0949.47025

Antoniou, Ioannis (ed.) et al., Generalized functions, operator theory, and dynamical systems. Boca Raton, FL: Chapman & Hall/CRC. Chapman Hall/CRC Res. Notes Math. 399, 308-322 (1999).
MSC:  47B38 47A10 28A12

### Exact solutions for nonlinear Hamiltonians. (English)Zbl 0942.81073

MSC:  81V80 81Q15
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### Stability of the upper bound of a spectrum under perturbations by diagonal matrices for a class of self-adjoint operators. (English. Russian original)Zbl 0931.47012

Russ. Math. Surv. 53, No. 2, 406-407 (1998); translation from Usp. Mat. Nauk 53, No. 2, 163-164 (1998).
MSC:  47A55 47B25
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### Canonical systems with a semibounded spectrum. (English)Zbl 0917.34015

Dijksma, A. (ed.) et al., Contributions to operator theory in spaces with an indefinite metric. The Heinz Langer anniversary volume on the occasion of his 60th birthday. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 106, 397-417 (1998).

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### Mourre theory for time-periodic systems. (English)Zbl 0916.47038

MSC:  47E05 47B25
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### Iterated Bäcklund-Darboux transform for canonical systems. (English)Zbl 0886.35145

MSC:  35Q58 47A68 37K35
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### Geometrical approach to inverse scattering for the Dirac equation. (English)Zbl 0890.47007

MSC:  47A40 81U40
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### Essential spectrum and $$SO(2)$$-symmetry of the energy operators of the quantum systems with nonincreasing magnetic field. (English)Zbl 0887.35109

Greiner, Peter C. (ed.) et al., Partial differential equations and their applications. Lectures given at the 1995 annual seminar of the Canadian Mathematical Society, Toronto, Canada, June 12–23, 1995. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 12, 307-315 (1997).
MSC:  35P05 35J10 81V70

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### Multipartical quantum systems in constant magnetic fields. (English)Zbl 0873.47043

Truhlar, Donald G. (ed.) et al., Multiparticle quantum scattering with applications to nuclear, atomic and molecular physics. Proceedings of a workshop at the Univ. of Minnesota, Minneapolis, MN, USA, June 12–16, 1995. New York, NY: Springer. IMA Vol. Math. Appl. 89, 147-215 (1997).

### A scaling limit of a Hamiltonian of many nonrelativistic particles interacting with a quantized radiation field. (English)Zbl 0874.47040

MSC:  47N50 81V10 47B25
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### Operators with singular continuous spectrum. IV: Hausdorff dimensions, rank one perturbations, and localization. (English)Zbl 0908.47002

MSC:  47A10 28A78 47A55
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### Rigorous covariant form of the correspondence principle. (English)Zbl 0855.47049

Arveson, William (ed.) et al., Quantization, nonlinear partial differential equations, and operator algebra. 1994 John von Neumann symposium on quantization and nonlinear wave equations, June 7-11, 1994, MIT, Cambridge, MA, USA. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 59, 175-202 (1996).

### Exponential decay of eigenfunctions of Schrödinger operators with magnetic fields. (Décroissance exponentielle des fonctions propres des opérateurs de Schrödinger avec des champs magnétiques.) (French)Zbl 0874.35077

Reviewer: B.Helffer (Orsay)

### The operator extension theory, semitransparent surface and short range potential. (English)Zbl 0845.47007

MSC:  47A20 81T10 47N50
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### Linear operators in infinite-particle systems. (Linejnye operatory v beskonechnochastichnykh sistemakh.) (Russian)Zbl 0839.46072

Moskva: Izd. Fizmatlit vo “Nauka”. 425 p. (1994).

### Reformulation of the Lax-Phillips approach in terms of stationary scattering theory. (English. Russian original)Zbl 0820.47006

Theor. Math. Phys. 98, No. 2, 167-180 (1994); translation from Teor. Mat. Fiz. 98, No. 2, 248-265 (1994).
MSC:  47A40 81U10
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### Scattering theory for Stark Hamiltonians. (English)Zbl 0827.47006

MSC:  47A40 47A55

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### Adiabatic limit and scattering. (English. Abridged French version)Zbl 0806.47009

MSC:  47A40 81U10

### Generating the spectrum of nonlinear Hamiltonians. (English)Zbl 0864.58048

Gruber, Bruno (ed.) et al., Symmetries in science VII: Spectrum-generating algebras and dynamic symmetries in physics. Proceedings of a symposium held in Nakajo, Japan, August 28-31, 1992. New York, NY: Plenum Press. 39-48 (1993).

### Quantum Hamiltonians perturbed by surface potentials. (Hamiltoniens quantiques perturbés par des potentiels de surface.) (French)Zbl 0842.47045

MSC:  47N50 81Q05 47A20

### On the finiteness of the discrete spectrum of the Schrödinger operator for a three-particle system with unstable two-particle subsystems in a homogeneous magnetic field. (English. Russian original)Zbl 0836.47050

Funct. Anal. Appl. 27, No. 2, 144-145 (1993); translation from Funkts. Anal. Prilozh. 27, No. 2, 83-84 (1993).
Reviewer: H.Yamagata (Osaka)
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### The conjugate operator method for strongly singular operators. (English)Zbl 0812.47007

MSC:  47A40 81Q10
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### Spectral and scattering theory for 3-particle Hamiltonian with Stark effect: Non-existence of bound states and resolvent estimate. (English)Zbl 0808.35094

MSC:  35P25 81U10 47A40

### The self-adjointness of Hermitian Hamiltonians. (English)Zbl 0992.47502

MSC:  47B15 47B25
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### Linear adiabatic theory. Exponential estimates. (English)Zbl 0768.34038

MSC:  34G10 81Q10 47A55
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### On resonances of generalized $$N$$-body Stark Hamiltonians. (English)Zbl 0792.35038

MSC:  35J10 35P05

### Hypercontractivity: A bibliographic review. (English)Zbl 0790.46055

Albeverio, Sergio (ed.) et al., Ideas and methods in quantum and statistical physics. In memory of Raphael Hœgh-Krohn (1938-1988). Volume 2. Cambridge: Cambridge University Press. 370-389 (1992).
Reviewer: H.Yamagata (Osaka)

### Some developments and applications of the abstract Mourre theory. (English)Zbl 0811.47005

Robert, D. (ed.), Méthodes semi-classiques, Volume 2. Colloque international (Nantes, juin 1991). Paris: Société Mathématique de France, Astérisque. 210, 27-48 (1992).
MSC:  47A40 47D06
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### A remark on asymptotic clustering for $$N$$-particle quantum systems. (English)Zbl 0784.47055

Balslev, Erik (ed.), Schrödinger operators. The quantum mechanical many-body problem. Proceedings of a workshop, held at Aarhus, Denmark, 15 May - 1 August, 1991. Berlin: Springer-Verlag. Lect. Notes Phys. 403, 73-78 (1992).
MSC:  47N50 81U10 47A40

### Long range scattering with Stark effect and almost periodic potentials. (English)Zbl 0758.35057

MSC:  35P25 47A40 81U05
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