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Author ID: jones.hugh-f Recent zbMATH articles by "Jones, Hugh F."
Published as: Jones, H. F.; Jones, Hugh F.; Jones, Hugh

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 374 times in 262 Documents Cited by Year
Complex extension of quantum mechanics. Zbl 1267.81234
Bender, Carl M.; Brody, Dorje C.; Jones, Hugh F.
141
2002
Must a Hamiltonian be Hermitian? Zbl 1219.81125
Bender, Carl M.; Brody, Dorje C.; Jones, Hugh F.
38
2003
Faster than Hermitian quantum mechanics. Zbl 1228.81027
Bender, Carl M.; Brody, Dorje C.; Jones, Hugh F.; Meister, Bernhard K.
31
2007
Dual \(\mathcal P\mathcal T\)-symmetric quantum field theories. Zbl 1247.81460
Bender, Carl M.; Jones, Hugh F.; Rivers, R. J.
18
2005
On pseudo-Hermitian Hamiltonians and their Hermitian counterparts. Zbl 1069.81018
Jones, H. F.
16
2005
The theory of Brillouin zones and electronic states in crystals. Zbl 0091.44805
Jones, H.
11
1960
Interactions of Hermitian and non-Hermitian Hamiltonians. Zbl 1140.81377
Bender, Carl M.; Jones, Hugh F.
11
2008
Complex square well – a new exactly solvable quantum mechanical model. Zbl 0946.81076
Bender, Carl M.; Boettcher, Stefan; Jones, H. F.; Savage, Van M.
10
1999
The cellular method of determining electronic wave functions and eigenvalues in crystals, with applications to sodium. Zbl 0046.23710
Howarth, D. J.; Jones, H.
8
1952
Bound states of non-Hermitian quantum field theories. Zbl 0983.81045
Bender, Carl M.; Boettcher, Stefan; Jones, H. F.; Meisinger, Peter N.; Simsek, Mehmet
8
2001
Groups, representations and physics. Zbl 0692.20009
Jones, Hugh F.
7
1990
A theory of the form of the X-ray emission bands of metals. Zbl 0008.38304
Jones, H.; Mott, N. F.; Skinner, H. W. B.
6
1934
Which Green functions does the path integral for quasi-Hermitian Hamiltonians represent? Zbl 1233.81028
Jones, H. F.; Rivers, R. J.
6
2009
Groups, representations and physics. 2nd ed. Zbl 0913.20009
Jones, Hugh F.
6
1998
Semiclassical calculation of the \(\mathcal C\) operator in \(\mathcal{PT}\)-symmetric quantum mechanics. Zbl 1134.81373
Bender, Carl M.; Jones, Hugh F.
5
2004
Use of equivalent Hermitian Hamiltonian for \(PT\)-symmetric sinusoidal optical lattices. Zbl 1226.81318
Jones, H. F.
5
2011
A general proof of certain fundamental equations in the theory of metallic conduction. Zbl 0008.42304
Jones, H.; Zener, C.
4
1934
PT symmetry. In quantum and classical physics. With contributions from Patrick E. Dorey, Clare Dunning, Andreas Fring, Daniel W. Hook, Hugh F. Jones, Sergii Kuzhel, Géza Lévai and Roberto Tateo. Zbl 1423.81001
Bender, Carl M.
3
2019
Fractals and chaos. Zbl 0743.58004
3
1990
Evaluation of Feynman diagrams in the logarithmic approach to quantum field theory. Zbl 0783.58087
Bender, Carl M.; Jones, H. F.
3
1988
The theory of the change in resistance in a magnetic field. Zbl 0009.14005
Jones, H.; Zener, C.
3
1934
Analytic results for a \(PT\)-symmetric optical structure. Zbl 1245.81311
Jones, H. F.
3
2012
Quantum and classical statistical mechanics of a class of non-Hermitian Hamiltonians. Zbl 1186.82007
Jones, H. F.; Moreira, E. S. jun.
3
2010
On the phase structure of the 3D \(SU(2)\)-Higgs model and the electroweak phase transition. Zbl 0949.82016
Evans, T. S.; Jones, H. F.; Ritz, A.
2
1998
The thermoelectric power of monovalent metals. Zbl 0066.23901
Jones, H.
2
1955
The specific heat of metals and alloys at low temperatures. Zbl 0079.22602
Jones, H.
2
1957
Special issue: Papers dedicated to the subject of the 6th international workshop on pseudo-Hermitian Hamiltonians in quantum physics (PHHQP VI), London, UK, 16–18 July 2007. Zbl 1143.81301
2
2008
On an equivalent Hermitian Hamiltonian for the wrong-sign quartic potential. Zbl 1118.81025
Jones, H. F.
2
2006
Calculation of low-lying energy levels in quantum mechanics. Zbl 1317.35214
Bender, Carl M.; Jones, Hugh F.
2
2014
Double-scaling limit of a broken symmetry quantum field theory in dimensions \(D<2\). Zbl 1015.81048
Bender, Carl M.; Boettcher, Stefan; Jones, H. F.; Meisinger, Peter N.
2
2001
Green functions for the wrong-sign quartic. Zbl 1213.81148
Jones, H. F.
2
2011
WKB analysis of \(\mathcal{PT}\)-symmetric Sturm-Liouville problems. Zbl 1263.81193
Bender, Carl M.; Jones, Hugh F.
2
2012
Comment on “On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator”. Zbl 1404.70042
Bender, Carl M.; Gianfreda, Mariagiovanna; Hassanpour, Nima; Jones, Hugh F.
2
2016
The renormalized thermal mass and critical temperature of a complex scalar field theory with non-zero charge density. Zbl 0971.81529
Jones, H. F.; Parkin, P.
1
2001
Non-perturbative calculations of a global \(U(2)\) theory at finite density and temperature. Zbl 1097.81678
Evans, T. S.; Jones, H. F.; Winder, D.
1
2001
Quantum counterpart of spontaneously broken classical \({\mathcal {PT}}\) symmetry. Zbl 1205.81076
Bender, Carl M.; Jones, Hugh F.
1
2011
Gauging non-Hermitian Hamiltonians. Zbl 1161.81361
Jones, H. F.
1
2009
Small-\(\epsilon\) behavior of the non-Hermitian \({\mathcal{PT}} \)-symmetric Hamiltonian \(H = p^{2} + x^{2}(\text ix)^{\epsilon}\). Zbl 1176.81048
Bender, Carl M.; Besseghir, Karim; Jones, Hugh F.; Yin, Xinghui
1
2009
PT symmetry. In quantum and classical physics. With contributions from Patrick E. Dorey, Clare Dunning, Andreas Fring, Daniel W. Hook, Hugh F. Jones, Sergii Kuzhel, Géza Lévai and Roberto Tateo. Zbl 1423.81001
Bender, Carl M.
3
2019
Comment on “On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator”. Zbl 1404.70042
Bender, Carl M.; Gianfreda, Mariagiovanna; Hassanpour, Nima; Jones, Hugh F.
2
2016
Calculation of low-lying energy levels in quantum mechanics. Zbl 1317.35214
Bender, Carl M.; Jones, Hugh F.
2
2014
Analytic results for a \(PT\)-symmetric optical structure. Zbl 1245.81311
Jones, H. F.
3
2012
WKB analysis of \(\mathcal{PT}\)-symmetric Sturm-Liouville problems. Zbl 1263.81193
Bender, Carl M.; Jones, Hugh F.
2
2012
Use of equivalent Hermitian Hamiltonian for \(PT\)-symmetric sinusoidal optical lattices. Zbl 1226.81318
Jones, H. F.
5
2011
Green functions for the wrong-sign quartic. Zbl 1213.81148
Jones, H. F.
2
2011
Quantum counterpart of spontaneously broken classical \({\mathcal {PT}}\) symmetry. Zbl 1205.81076
Bender, Carl M.; Jones, Hugh F.
1
2011
Quantum and classical statistical mechanics of a class of non-Hermitian Hamiltonians. Zbl 1186.82007
Jones, H. F.; Moreira, E. S. jun.
3
2010
Which Green functions does the path integral for quasi-Hermitian Hamiltonians represent? Zbl 1233.81028
Jones, H. F.; Rivers, R. J.
6
2009
Gauging non-Hermitian Hamiltonians. Zbl 1161.81361
Jones, H. F.
1
2009
Small-\(\epsilon\) behavior of the non-Hermitian \({\mathcal{PT}} \)-symmetric Hamiltonian \(H = p^{2} + x^{2}(\text ix)^{\epsilon}\). Zbl 1176.81048
Bender, Carl M.; Besseghir, Karim; Jones, Hugh F.; Yin, Xinghui
1
2009
Interactions of Hermitian and non-Hermitian Hamiltonians. Zbl 1140.81377
Bender, Carl M.; Jones, Hugh F.
11
2008
Special issue: Papers dedicated to the subject of the 6th international workshop on pseudo-Hermitian Hamiltonians in quantum physics (PHHQP VI), London, UK, 16–18 July 2007. Zbl 1143.81301
2
2008
Faster than Hermitian quantum mechanics. Zbl 1228.81027
Bender, Carl M.; Brody, Dorje C.; Jones, Hugh F.; Meister, Bernhard K.
31
2007
On an equivalent Hermitian Hamiltonian for the wrong-sign quartic potential. Zbl 1118.81025
Jones, H. F.
2
2006
Dual \(\mathcal P\mathcal T\)-symmetric quantum field theories. Zbl 1247.81460
Bender, Carl M.; Jones, Hugh F.; Rivers, R. J.
18
2005
On pseudo-Hermitian Hamiltonians and their Hermitian counterparts. Zbl 1069.81018
Jones, H. F.
16
2005
Semiclassical calculation of the \(\mathcal C\) operator in \(\mathcal{PT}\)-symmetric quantum mechanics. Zbl 1134.81373
Bender, Carl M.; Jones, Hugh F.
5
2004
Must a Hamiltonian be Hermitian? Zbl 1219.81125
Bender, Carl M.; Brody, Dorje C.; Jones, Hugh F.
38
2003
Complex extension of quantum mechanics. Zbl 1267.81234
Bender, Carl M.; Brody, Dorje C.; Jones, Hugh F.
141
2002
Bound states of non-Hermitian quantum field theories. Zbl 0983.81045
Bender, Carl M.; Boettcher, Stefan; Jones, H. F.; Meisinger, Peter N.; Simsek, Mehmet
8
2001
Double-scaling limit of a broken symmetry quantum field theory in dimensions \(D<2\). Zbl 1015.81048
Bender, Carl M.; Boettcher, Stefan; Jones, H. F.; Meisinger, Peter N.
2
2001
The renormalized thermal mass and critical temperature of a complex scalar field theory with non-zero charge density. Zbl 0971.81529
Jones, H. F.; Parkin, P.
1
2001
Non-perturbative calculations of a global \(U(2)\) theory at finite density and temperature. Zbl 1097.81678
Evans, T. S.; Jones, H. F.; Winder, D.
1
2001
Complex square well – a new exactly solvable quantum mechanical model. Zbl 0946.81076
Bender, Carl M.; Boettcher, Stefan; Jones, H. F.; Savage, Van M.
10
1999
Groups, representations and physics. 2nd ed. Zbl 0913.20009
Jones, Hugh F.
6
1998
On the phase structure of the 3D \(SU(2)\)-Higgs model and the electroweak phase transition. Zbl 0949.82016
Evans, T. S.; Jones, H. F.; Ritz, A.
2
1998
Groups, representations and physics. Zbl 0692.20009
Jones, Hugh F.
7
1990
Fractals and chaos. Zbl 0743.58004
3
1990
Evaluation of Feynman diagrams in the logarithmic approach to quantum field theory. Zbl 0783.58087
Bender, Carl M.; Jones, H. F.
3
1988
The theory of Brillouin zones and electronic states in crystals. Zbl 0091.44805
Jones, H.
11
1960
The specific heat of metals and alloys at low temperatures. Zbl 0079.22602
Jones, H.
2
1957
The thermoelectric power of monovalent metals. Zbl 0066.23901
Jones, H.
2
1955
The cellular method of determining electronic wave functions and eigenvalues in crystals, with applications to sodium. Zbl 0046.23710
Howarth, D. J.; Jones, H.
8
1952
A theory of the form of the X-ray emission bands of metals. Zbl 0008.38304
Jones, H.; Mott, N. F.; Skinner, H. W. B.
6
1934
A general proof of certain fundamental equations in the theory of metallic conduction. Zbl 0008.42304
Jones, H.; Zener, C.
4
1934
The theory of the change in resistance in a magnetic field. Zbl 0009.14005
Jones, H.; Zener, C.
3
1934
all top 5

Cited by 381 Authors

17 Znojil, Miloslav
12 Bender, Carl M.
10 Fring, Andreas
9 Mostafazadeh, Ali
7 Jones, Hugh F.
6 Bagarello, Fabio
5 Bagchi, Bijan Kumar
5 Günther, Uwe
5 Malomed, Boris A.
5 Rodionov, Vasiliy N.
4 Caliceti, Emanuela
4 Quesne, Christiane
4 Shalaby, Abouzeid M.
3 Banerjee, Abhijit
3 Bebiano, Natália Isabel Quadros
3 Brody, Dorje C.
3 Cannata, Francesco
3 Dey, Sanjib
3 Giri, Pulak Ranjan
3 He, Jingsong
3 Jakubský, Vít
3 Krejčiřík, David
3 Maamache, Mustapha
3 Mihalache, Dumitru
3 Milton, Kimball A.
3 Neznamov, Vasily P.
3 Pinsky, Stephen S.
3 Roy, Pinaki
3 Sever, Ramazan
3 Simmons, L. M. jun.
3 Sinha, Anjana
3 Stefani, Frank
3 Taira, Takanobu
2 Ahmed, Zafar
2 Aouachria, Mekki
2 Ben-Aryeh, Yacob
2 Bíla, Hynek
2 Brandão, P. A.
2 Christodoulides, Demetrios N.
2 Eguibar, Francisco Soto-
2 Fang, Maofa
2 Fernández, Francisco Marcelo
2 Gargano, Francesco
2 Geyer, Hendrik B.
2 Gianfreda, Mariagiovanna
2 Gorbatenko, Mikhail V.
2 Graffi, Sandro
2 He, Yingji
2 Jain, Sudhir Ranjan
2 Jentschura, Ulrich D.
2 Jia, Chunsheng
2 Kapoor, A. K.
2 Khare, Avinash
2 Koussa, Walid
2 Kravtsova, Galina A.
2 Lattuca, Margherita
2 Lévai, Géza
2 Liu, Jianyi
2 Liu, Yinping
2 Mana, Naima
2 Mandel, Arkadiĭ M.
2 Mannheim, Philip D.
2 Meister, Bernhard K.
2 Mohamadou, Alidou
2 Molina, Mario I.
2 Moya-Cessa, Héctor Manuel
2 Ohlsson, Tommy
2 Panigrahi, Prasanta K.
2 Ranjani, S. Sree
2 Rao, Jiguang
2 Rivers, Ray J.
2 Samsonov, Boris F.
2 Siegl, Petr
2 Spagnolo, Salvatore
2 Speight, James Martin
2 Sukhatme, Uday P.
2 Tater, Miloš
2 Tchepemen, Nathan Nkouessi
2 Tiofack, Camus Gaston Latchio
2 Triolo, Salvatore
2 Trunk, Carsten
2 Wang, Qinghai
2 Ye, Liu
2 Zhang, Yan
2 Zhou, Shun
2 Zhu, Xing
2 Zhu, Zuonong
1 Abhinav, Kumar
1 Aceves de la Cruz, Fermín
1 Ahmad, Saeed
1 Albeverio, Sergio A.
1 Alexandre, Jean
1 Ali, Amir R.
1 Almog, Yaniv
1 Amghar, B.
1 Amore, Paolo
1 Anderson, Louise
1 Andrianov, Alexander A.
1 Baaquie, Belal Ehsan
1 Bakke, Knut
...and 281 more Authors
all top 5

Cited in 76 Serials

43 Journal of Mathematical Physics
36 International Journal of Theoretical Physics
18 Physics Letters. A
13 Czechoslovak Journal of Physics
11 International Journal of Modern Physics A
9 Modern Physics Letters A
7 Theoretical and Mathematical Physics
6 Nuclear Physics. B
6 Journal of Physics A: Mathematical and Theoretical
5 The European Physical Journal C. Particles and Fields
4 Nonlinear Dynamics
3 Communications in Mathematical Physics
3 Chaos, Solitons and Fractals
3 Physica D
3 Applied Mathematics Letters
3 Chaos
3 Communications in Nonlinear Science and Numerical Simulation
3 Journal of High Energy Physics
3 Journal of Modern Optics
3 Quantum Information Processing
2 Journal of Mathematical Analysis and Applications
2 Physics Letters. B
2 Fortschritte der Physik
2 Studies in Applied Mathematics
2 International Journal of Modern Physics D
2 Journal of Mathematical Chemistry
2 Foundations of Physics
2 Advances in High Energy Physics
2 Advances in Mathematical Physics
2 Physical Review A, Third Series
2 Quantum Studies: Mathematics and Foundations
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Computers & Mathematics with Applications
1 Letters in Mathematical Physics
1 Nonlinearity
1 Physica A
1 Physics Reports
1 Reports on Mathematical Physics
1 Wave Motion
1 Reviews in Mathematical Physics
1 Journal of Geometry and Physics
1 Annales de l’Institut Fourier
1 Applied Numerical Mathematics
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 International Journal of Foundations of Computer Science
1 Annals of Physics
1 Linear Algebra and its Applications
1 Journal of Nonlinear Science
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Sbornik: Mathematics
1 Open Systems & Information Dynamics
1 Soft Computing
1 New Journal of Physics
1 LMS Journal of Computation and Mathematics
1 Russian Physics Journal
1 Gravitation & Cosmology
1 Physical Review Letters
1 Journal of Nonlinear Mathematical Physics
1 Mathematical Modelling and Analysis
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Applied Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Cosmology and Astroparticle Physics
1 International Journal of Geometric Methods in Modern Physics
1 Journal of Statistical Mechanics: Theory and Experiment
1 Foundations of Physics Letters
1 Complex Analysis and Operator Theory
1 Communications in Theoretical Physics
1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
1 Science China. Mathematics
1 Symmetry
1 Annalen der Physik
1 Evolution Equations and Control Theory
1 ISRN High Energy Physics
all top 5

Cited in 39 Fields

214 Quantum theory (81-XX)
47 Partial differential equations (35-XX)
24 Statistical mechanics, structure of matter (82-XX)
18 Operator theory (47-XX)
16 Ordinary differential equations (34-XX)
13 Mechanics of particles and systems (70-XX)
13 Optics, electromagnetic theory (78-XX)
12 Functional analysis (46-XX)
12 Relativity and gravitational theory (83-XX)
11 Dynamical systems and ergodic theory (37-XX)
7 Numerical analysis (65-XX)
4 Nonassociative rings and algebras (17-XX)
4 Differential geometry (53-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Probability theory and stochastic processes (60-XX)
4 Fluid mechanics (76-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Mechanics of deformable solids (74-XX)
3 Information and communication theory, circuits (94-XX)
2 Number theory (11-XX)
2 Associative rings and algebras (16-XX)
2 Group theory and generalizations (20-XX)
2 Difference and functional equations (39-XX)
2 Approximations and expansions (41-XX)
1 General and overarching topics; collections (00-XX)
1 Algebraic geometry (14-XX)
1 \(K\)-theory (19-XX)
1 Topological groups, Lie groups (22-XX)
1 Real functions (26-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Geometry (51-XX)
1 Statistics (62-XX)
1 Astronomy and astrophysics (85-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year