extended abstracts 2011
  

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)
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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)
    ( here in pdf and here in pdf, zipped)

  • 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)
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 2. 12. 2011
    MR2780946 Bagarello, F. Two-parameters pseudo-bosons. Internat. J. Theoret. Phys. 50 (2011), no. 4, 1060--1065. 81Sxx
    ( here in pdf and here in pdf, zipped)

  • 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)
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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)
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 21. 6. 2011
    MR2749104 Bagarello, F. (Regular) pseudo-bosons versus bosons. J. Phys. A 44 (2011), no. 1, 015205, 11 pp. 81Sxx
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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)
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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)
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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)
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 18. 1. 2011
    MR2660139 Greiter, Martin, On the linear-dispersion -- linear-potential quantum oscillator. Ann. Physics 325 (2010), no. 7, 1349--1358. 81Q05
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)

  • 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
    ( here in pdf and here in pdf, zipped)





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