written for
Mathematical Reviews
(review journal of AMS)
21. 12. 2011
MR2830591 Nesemann, Jan ${PT}$-symmetric Schroedinger operators with
unbounded potentials. Dissertation, Universitaet Bern, Bern, 2010.
Vieweg + Teubner, Wiesbaden, 2011. viii+83 pp. ISBN:
978-3-8348-1762-4 81Qxx (34L40 47B25 47N50)
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2. 12. 2011
MR2795246 Jha, Pankaj K.; Eleuch, Hichem; Rostovtsev, Yuri V. Analytical solution to position dependent mass Schrödinger equation. J. Modern Opt. 58 (2011), no. 8, 652--656. 81Qxx
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2. 12. 2011
MR2780961 Paseka, Jan $\scr{PT}$-symmetry in (generalized) effect algebras. Internat. J. Theoret. Phys. 50 (2011), no. 4, 1198--1205. 81Qxx (06D35)
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2. 12. 2011
MR2780949 Rivers, R. J. Path integrals for pseudo-Hermitian Hamiltonians. Internat. J. Theoret. Phys. 50 (2011), no. 4, 1081--1096. 81S40 (81Qxx)
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2. 12. 2011
MR2780948 Jones, H. F. Green functions for the wrong-sign quartic. Internat. J. Theoret. Phys. 50 (2011), no. 4, 1071--1080. 81Qxx
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2. 12. 2011
MR2780946 Bagarello, F. Two-parameters pseudo-bosons. Internat. J. Theoret. Phys. 50 (2011), no. 4, 1060--1065. 81Sxx
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15. 10. 2011
MR2758917 Voros, André From exact-WKB toward singular quantum
perturbation theory II. Algebraic analysis of differential equations
from microlocal analysis to exponential asymptotics, 321--334,
Springer, Tokyo, 2008. 81Q20 (34M60 81Q15)
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14. 10. 2011
MR2758898 Bender, Carl M. Ghost busting: making sense of
non-Hermitian Hamiltonians. Algebraic analysis of differential
equations from microlocal analysis to exponential asymptotics,
55--66, Springer, Tokyo, 2008. 81Q12
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14. 10. 2011
MR2786841 Hamzavi, M.; Rajabi, A. A.; Hassanabadi, H. Exactly complete solutions of the Dirac equation with pseudoharmonic potential including linear plus Coulomb-like tensor potential. Internat. J. Modern Phys. A 26 (2011), no. 7-8, 1363--1374. 81Qxx
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9. 10. 2011
MR2787075 Panahi, H.; Bakhshi, Z. Dirac equation with
position-dependent effective mass and solvable potentials in the
Schrödinger equation. J. Phys. A 44 (2011), no. 17, 175304, 10 pp.
81Qxx
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21. 9. 2011
MR2771874 Giachetti, Riccardo; Grecchi, Vincenzo $PT$-symmetric
operators and metastable states of the 1D relativistic oscillators.
J. Phys. A 44 (2011), no. 9, 095308, 13 pp. 81Qxx
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16. 9. 2011
MR2768169 Moiseyev, Nimrod Non-Hermitian quantum mechanics.
Cambridge University Press, Cambridge, 2011. xiv+394 pp. ISBN:
978-0-521-88972-8 81Q12
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24. 7. 2011
MR2763430 Midya, Bikashkali; Dube, P. P.; Roychoudhury, Rajkumar
Non-isospectrality of the generalized Swanson Hamiltonian and
harmonic oscillator. J. Phys. A 44 (2011), no. 6, 062001, 8 pp.
81Qxx
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1. 7. 2011
MR2749385 Mostafazadeh, Ali Pseudo-Hermitian representation of
quantum mechanics. Int. J. Geom. Methods Mod. Phys. 7 (2010), no. 7,
1191--1306. 81Q12 (47N50)
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28. 6. 2011
MR2748864 Sinha, A.; Dutta, D.; Roy, P. Study of classical
mechanical systems with complex potentials. Phys. Lett. A 375
(2011), no. 3, 452--457. 81Qxx
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21. 6. 2011
MR2779604 Ali, S. Twareque; Bagarello, F.; Gazeau, Jean Pierre
Modified Landau levels, damped harmonic oscillator, and
two-dimensional pseudo-bosons. J. Math. Phys. 51 (2010), no. 12,
123502, 11 pp. 81Qxx
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21. 6. 2011
MR2749106 Bender, Carl M.; Jones, Hugh F. Quantum counterpart of
spontaneously broken classical $\scr{PT}$ symmetry. J. Phys. A 44
(2011), no. 1, 015301, 9 pp. 81Qxx
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21. 6. 2011
MR2749104 Bagarello, F. (Regular) pseudo-bosons versus bosons. J.
Phys. A 44 (2011), no. 1, 015205, 11 pp. 81Sxx
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24. 5. 2011
MR2718324 Urdaneta, Inés; Sandoval, Lourdes; Palma, Alejandro On the
algebraic approach to the time-dependent quadratic Hamiltonian. J.
Phys. A 43 (2010), no. 38, 385204, 10 pp. 81Qxx
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3. 5. 2011
MR2759472 Bayrak, O.; Soylu, A.; Boztosun, I. The relativistic treatment of spin-0 particles under the rotating Morse oscillator. J. Math. Phys. 51 (2010), no. 11, 112301, 6 pp. 81Qxx
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3. 5. 2011
MR2737903 Cheon, Taksu; Exner, Pavel; Turek, Ondrej Tripartite connection condition for a quantum graph vertex. Phys. Lett. A 375 (2010), no. 2, 113--118. 81Q35
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3. 5. 2011
MR2737899 Mostafazadeh, Ali A Hamiltonian formulation of the
Pais-Uhlenbeck oscillator that yields a stable and unitary quantum
system. Phys. Lett. A 375 (2010), no. 2, 93--98. 81Q80
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3. 5. 2011
MR2733846 Koç, Ramazan; Sayin, Seda Remarks on the solution of the
position-dependent mass Schrödinger equation. J. Phys. A 43 (2010),
no. 45, 455203, 8 pp. 81Qxx
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3. 5. 2011
MR2726697 Chithiika Ruby, V.; Senthilvelan, M. On the generalized
intelligent states and certain related nonclassical states of a
quantum exactly solvable nonlinear oscillator. J. Phys. A 43 (2010),
no. 41, 415301, 21 pp. 81Q80
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28. 4. 2011
MR2735604 Masillo, F.; Solombrino, L.; Scolarici, G.
Time evolution of quasi-Hermitian open systems and generalized
entropy functional. Int. J. Geom. Methods Mod. Phys. 7 (2010),
no. 6, 1001--1020. 82C10 (81S22)
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11. 4. 2011
MR2718550 Bender, Carl M.; Hook, Daniel W.; Meisinger, Peter N.;
Wang, Qing-hai Probability density in the complex plane. Ann.
Physics 325 (2010), no. 11, 2332--2362. 81P05
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9. 4. 2011
MR2735228 Hall, Richard L. et al.,
Generalized quantum isotonic nonlinear oscillator in $d$
dimensions. J. Phys. A 43 (2010), no. 46, 465304, 8pp., 81Q60
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19. 3. 2011
MR2726711 Fring, Andreas; Gouba, Laure; Bagchi, Bijan Minimal areas
from $q$-deformed oscillator algebras. J. Phys. A 43 (2010), no. 42,
425202, 13 pp. 81R50
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28. 2. 2011
MR2718338 Kelkar, N. G.; Nowakowski, M. No classical limit of quantum decay for broad states. J. Phys. A 43 (2010), no. 38, 385308, 9 pp. 81U05
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17. 2. 2011
MR2732255 Janavicius, Arvydas Juozapas; Jurgaitis, Donatas Potential representation method for Woods-Saxon potential. Šiauliai Math. Semin. 5(13) (2010), 41--45. 81Q05 (81V35)
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17. 2. 2011
MR2719088 Sun, Guo-Hua; Dong, Shi-Hai New type operators for circular well potential in two dimensions. Phys. Lett. A 374 (2010), no. 40, 4112--4114. 81Q05
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17. 2. 2011
MR2669219 Najarbashi, G.; Fasihi, M. A.; Fakhri, H. Generalized Grassmannian coherent states for pseudo-Hermitian $n$-level systems. J. Phys. A 43 (2010), no. 32, 325301, 10 pp. 81R30 (81Q12)
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17. 2. 2011
MR2673637 Ikhdair, Sameer M.; Sever, Ramazan Any $l$-state solutions of the Woods-Saxon potential in arbitrary dimensions within the new improved quantization rule. Internat. J. Modern Phys. A 25 (2010), no. 20, 3941--3952. 81Qxx
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26. 1. 2011
MR2670526 Sela, Itamar; Aisenberg, James; Kottos, Tsampikos; Cohen,
Doron Quantum anomalies and linear response theory.
J. Phys. A: Math. Theor. 43 (2010), no. 33, 332001, 8 pp. 82C10
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26. 1. 2011
MR2669574 Gu, Xiao-Yan; Zhang, Meng; Sun, Jian-Qiang Exact solutions
of non-central potentials. Modern Phys. Lett. B 24 (2010), no. 16,
1759--1767. 81Q35
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18. 1. 2011
MR2660139 Greiter, Martin, On the linear-dispersion --
linear-potential quantum oscillator. Ann. Physics 325 (2010),
no. 7, 1349--1358. 81Q05
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18. 1. 2011
MR2659788 Wang, Qing-hai; Chia, Song-zhi; Zhang, Jie-hong, $\scr{PT}$
symmetry as a generalization of Hermiticity. J. Phys. A 43 (2010),
no. 29, 295301, 11 pp. 81Q12
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17. 1. 2011
MR2609967 Bagarello, F. Mathematical aspects of intertwining
operators: the role of Riesz bases.
J. Phys. A 43 (2010), no. 17, 175203, 11 pp. 81Q12
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