written for
Mathematical Reviews
(review journal of AMS)
22. 12. 2009
MR2524047 Monastyrnyi, P. I.; Kremen', E. V.; Kremen', Yu. A.
Numerical solution of threepoint 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, 4144, 126. 65Q05
(
here in pdf and
here in pdf, zipped)
16. 11. 2009
MR2515606 Qiang, WenChao; Li, Kai; Chen, WenLi New bound and
scattering state solutions of the ManningRosen 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 quantummechanical oscillator in a finitedimensional 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,
19251927. 81Qxx
(
here in pdf and
here in pdf, zipped)
15. 10. 2009
MR2515919 Cannata, Francesco; Ventura, Alberto Nonlocal
$\scr{PT}$symmetric potentials in the onedimensional 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; MehriDehnavi, Hossein Spectral
singularities, biorthonormal systems and a twoparameter 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. Schrödinger equation with modified
Hulthén plus Scarf potential. Bulg. J. Phys. 35 (2008), no. 4,
290302. 81Q05
(
here in pdf and
here in pdf, zipped)
1. 9. 2009
MR2426000 de Lima, Emanuel F.; Ho, TakSan; Rabitz, Herschel
Solution of the Schrödinger 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,
966975. 81Q15 (65F15 81V55)
(
here in pdf and
here in pdf, zipped)
30. 8. 2009
MR2386541 Yeşiltaş, Özlem; Sever, Ramazan Exponential type complex
and nonHermitian potentials within quantum HamiltonJacobi
formalism. J. Math. Chem. 43 (2008), no. 3, 921931. 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.
AsianEur. J. Math. 2 (2009), no. 1, 95115. 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 HylleraasUndheimMacDonald higher roots, and
minimization functionals at the excited states. J. Comput. Methods
Sci. Eng. 8 (2008), no. 46, 277285. 81Q15 (81Q05)
(
here in pdf and
here in pdf, zipped)
14. 7. 2009
MR2485771 Giri, Pulak Ranjan; Roy, P. NonHermitian quantum
mechanics in noncommutative space. Eur. Phys. J. C Part. Fields 60
(2009), no. 1, 157161. 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, 607610. 81Q10 (81Q05 81R05)
(
here in pdf and
here in pdf, zipped)
14. 7. 2009
MR2485574 Yahiaoui, S.A.; Bentaiba, M. A grouptheoretical method
for Natanzon potentials in positiondependent mass background by
means of conformal mappings. Internat. J. Theoret. Phys. 48 (2009),
no. 2, 315322. 81Qxx (33C90)
(
here in pdf and
here in pdf, zipped)
30. 6. 2009
MR2485563 Mustafa, Omar; Mazharimousavi, S. Habib
Sphericalseparability of nonHermitian Hamiltonians and
pseudo$\scr P\scr T$symmetry. Internat. J. Theoret. Phys. 48
(2009), no. 1, 183193. 81Q10
(
(2009k:81088)
in pdf and
here in pdf, zipped)
30. 3. 2009
MR2457004 Milovic, Daniela; Biswas, Anjan Doubly periodic solution
for nonlinear Schrödinger's equation with higher order polynomial
law nonlinearity. Internat. J. Theoret. Phys. 47 (2008), no. 12,
33353340. 81Q05
(
(2009h:33017) in pdf and
here in pdf, zipped)
26. 3. 2009
MR2468358 Kovalëv, M. D. A multilayer equation. (Russian)
Chebyshevskii
Sb. 7 (2006), no. 2(18), 99105. ISBN: 5879544036 81Q05
(35Q60 78A25)
(
(2009h:81092) in pdf and
here in pdf, zipped)
25. 3. 2009
MR2464272 Lévai, G. On the normalization constant of
$\scr{PT}$symmetric and real RosenMorse I potentials. Phys.
Lett. A 372 (2008), no. 43, 64846489. 81Qxx
(
(2009h:81321) in pdf and
here in pdf, zipped)
19. 3. 2009
MR2455804 Bender, Carl M.; Jones, Hugh F. Interactions of
Hermitian and nonHermitian 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 Lévai, 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 nonHermitian 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, WeiQin Two kinds of iterative solutions for
generalized sombreroshaped potential in $N$dimensional space. J.
Phys. A 41 (2008), no. 23, 235302, 12 pp. 81Q05 (65Nxx 8104)
(
(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, 20952100. 81Qxx
(
(2009g:81100) in pdf and
here in pdf, zipped)
jump to the older extended abstracts:
written during 2008;
written during the years 1999  2007
