extended abstracts 2009
  

written for
Mathematical Reviews
(review journal of AMS)


  • 22. 12. 2009
    MR2524047 Monastyrnyi, P. I.; Kremen', E. V.; Kremen', Yu. A. Numerical solution of three-point difference equations on the basis of a combination of the reduction method and the conjugate gradient method. (Russian) Vestsi Nats. Akad. Navuk Belarusi Ser. Fiz.-Mat. Navuk 2008, no. 1, 41--44, 126. 65Q05
    ( here in pdf and here in pdf, zipped)

  • 16. 11. 2009
    MR2515606 Qiang, Wen-Chao; Li, Kai; Chen, Wen-Li New bound and scattering state solutions of the Manning-Rosen potential with the centrifugal term. J. Phys. A 42 (2009), no. 20, 205306, 13 pp. 81Q05 (81U15)
    ( here in pdf and here in pdf, zipped)

  • 16. 11. 2009
    MR2515603 Santhanam, Thalanayar S.; Santhanam, Balu The discrete Fourier transform and the quantum-mechanical oscillator in a finite-dimensional Hilbert space. J. Phys. A 42 (2009), no. 20, 205303, 7 pp. 81Qxx (42C15 81S05)
    ( here in pdf and here in pdf, zipped)

  • 15. 10. 2009
    MR2518099 Popov, V. S.; Trusov, M. A. Generating functions and sum rules for quantum oscillator. Phys. Lett. A 373 (2009), no. 22, 1925--1927. 81Qxx
    ( here in pdf and here in pdf, zipped)

  • 15. 10. 2009
    MR2515919 Cannata, Francesco; Ventura, Alberto Non-local $\scr{PT}$-symmetric potentials in the one-dimensional Dirac equation. J. Phys. A 41 (2008), no. 50, 505305, 21 pp. 81Q10 (81U15 81V35)
    ( here in pdf and here in pdf, zipped)

  • 15. 10. 2009
    MR2485827 Mostafazadeh, Ali; Mehri-Dehnavi, Hossein Spectral singularities, biorthonormal systems and a two-parameter family of complex point interactions. J. Phys. A 42 (2009), no. 12, 125303, 27 pp. 81Uxx
    ( here in pdf and here in pdf, zipped)

  • 22. 9. 2009
    MR2518190 Meyur, S.; Debnath, S. Schr÷dinger equation with modified HulthÚn plus Scarf potential. Bulg. J. Phys. 35 (2008), no. 4, 290--302. 81Q05
    ( here in pdf and here in pdf, zipped)

  • 1. 9. 2009
    MR2426000 de Lima, Emanuel F.; Ho, Tak-San; Rabitz, Herschel Solution of the Schr÷dinger equation for the Morse potential with an infinite barrier at long range. J. Phys. A 41 (2008), no. 33, 335303, 14 pp. 81Q05 (81U15)
    ( here in pdf and here in pdf, zipped)

  • 30. 8. 2009
    MR2386545 Marmorino, M. G. Alternatives to Bazley's special choice for eigenvalue lower bounds. J. Math. Chem. 43 (2008), no. 3, 966--975. 81Q15 (65F15 81V55)
    ( here in pdf and here in pdf, zipped)

  • 30. 8. 2009
    MR2386541 Ye║ilta║, Ízlem; Sever, Ramazan Exponential type complex and non-Hermitian potentials within quantum Hamilton-Jacobi formalism. J. Math. Chem. 43 (2008), no. 3, 921--931. 81U15 (35F20)
    ( here in pdf and here in pdf, zipped)

  • 24. 8. 2009
    MR2513049 Rodjanadid, Benjawan; Nguyen, Van Sanh; Nguyen, Thu Ha; Nguyen, Huu Du Stability radii for implicit difference equations. Asian-Eur. J. Math. 2 (2009), no. 1, 95--115. 65Q05 (34D20 93C55 93D05)
    ( here in pdf and here in pdf, zipped)

  • 22. 7. 2009
    MR2502664 Bacalis, N. C.; Xiong, Z.; Karaoulanis, D. Inherent restrictions of the Hylleraas-Undheim-MacDonald higher roots, and minimization functionals at the excited states. J. Comput. Methods Sci. Eng. 8 (2008), no. 4-6, 277--285. 81Q15 (81Q05)
    ( here in pdf and here in pdf, zipped)

  • 14. 7. 2009
    MR2485771 Giri, Pulak Ranjan; Roy, P. Non-Hermitian quantum mechanics in non-commutative space. Eur. Phys. J. C Part. Fields 60 (2009), no. 1, 157--161. 81Rxx
    ( here in pdf and here in pdf, zipped)

  • 14. 7. 2009
    MR2485602 Ussembayev, Nail Sh. Oscillator representation for pseudoharmonic potential. Internat. J. Theoret. Phys. 48 (2009), no. 3, 607--610. 81Q10 (81Q05 81R05)
    ( here in pdf and here in pdf, zipped)

  • 14. 7. 2009
    MR2485574 Yahiaoui, S.-A.; Bentaiba, M. A group-theoretical method for Natanzon potentials in position-dependent mass background by means of conformal mappings. Internat. J. Theoret. Phys. 48 (2009), no. 2, 315--322. 81Qxx (33C90)
    ( here in pdf and here in pdf, zipped)

  • 30. 6. 2009
    MR2485563 Mustafa, Omar; Mazharimousavi, S. Habib Spherical-separability of non-Hermitian Hamiltonians and pseudo-$\scr P\scr T$-symmetry. Internat. J. Theoret. Phys. 48 (2009), no. 1, 183--193. 81Q10
    ( (2009k:81088) in pdf and here in pdf, zipped)

  • 30. 3. 2009
    MR2457004 Milovic, Daniela; Biswas, Anjan Doubly periodic solution for nonlinear Schr÷dinger's equation with higher order polynomial law nonlinearity. Internat. J. Theoret. Phys. 47 (2008), no. 12, 3335--3340. 81Q05
    ( (2009h:33017) in pdf and here in pdf, zipped)

  • 26. 3. 2009
    MR2468358 KovalŰv, M. D. A multilayer equation. (Russian) Chebyshevskii Sb. 7 (2006), no. 2(18), 99--105. ISBN: 5-87954-403-6 81Q05 (35Q60 78A25)
    ( (2009h:81092) in pdf and here in pdf, zipped)

  • 25. 3. 2009
    MR2464272 LÚvai, G. On the normalization constant of $\scr{PT}$-symmetric and real Rosen-Morse I potentials. Phys. Lett. A 372 (2008), no. 43, 6484--6489. 81Qxx
    ( (2009h:81321) in pdf and here in pdf, zipped)

  • 19. 3. 2009
    MR2455804 Bender, Carl M.; Jones, Hugh F. Interactions of Hermitian and non-Hermitian Hamiltonians. J. Phys. A: Math. Theor. 41 (2008), no. 24, 244006, 8 pp. 81Q10
    ( (2009h:81103) in pdf and here in pdf, zipped)

  • 3. 3. 2009
    MR2455813 LÚvai, G. $\scr{PT}$ symmetry and its spontaneous breakdown in three dimensions. J. Phys. A: Math. Gen. 41 (2008), no. 24, 244015, 10 pp. 81Q10
    ( (2009h:81093) in pdf and here in pdf, zipped)

  • 3. 3. 2009
    MR2455812 Lavagno, A. Deformed quantum mechanics and $q$-Hermitian operators. J. Phys. A: Math. Theor. 41 (2008), no. 24, 244014, 9 pp. 81S05 (39A20 81Q05 81R50)
    ( (2009h:81163) in pdf and here in pdf, zipped)

  • 3. 3. 2009
    MR2455800 Assis, Paulo E. G.; Fring, Andreas: ``The quantum brachistochrone problem for non-Hermitian Hamiltonians." J. Phys. A: Math. Theor. 41 (2008), no. 24, 244002, 12 pp. 81Q05
    ( (2009h:81102) in pdf and here in pdf, zipped)

  • 6. 2. 2009
    MR2454519 Zhao, Wei-Qin Two kinds of iterative solutions for generalized sombrero-shaped potential in $N$-dimensional space. J. Phys. A 41 (2008), no. 23, 235302, 12 pp. 81Q05 (65Nxx 81-04)
    ( (2009g:81051) in pdf and here in pdf, zipped)

  • 6. 1. 2009
    MR2442889 Giri, Pulak Ranjan, Lower bound of minimal time evolution in quantum mechanics. Internat. J. Theoret. Phys. 47 (2008), no. 7, 2095--2100. 81Qxx
    ( (2009g:81100) in pdf and here in pdf, zipped)



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