written for
Mathematical Reviews
(review journal of AMS)
10. 12. 2010
MR2677509 Ergun, Ebru; Saglam, Mesude On the metric of a
nonHermitian model. Rep. Math. Phys. 65 (2010), no. 3, 367378.
81Q80 (34L05 81Q12)
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10. 12. 2010
MR2657537 Grandati, Y.; Bérard, A. Rational solutions for the
RiccatiSchrödinger equations associated to translationally shape
invariant potentials. Ann. Physics 325 (2010), no. 6, 12351259.
81Q60 (81Q80)
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10. 12. 2010
MR2643633 Jin, Shi; Wu, Hao; Yang, Xu; Huang, Zhongyi Bloch
decompositionbased Gaussian beam method for the Schrödinger
equation with periodic potentials. J. Comput. Phys. 229 (2010), no.
13, 48694883. 82B10 (65Mxx 81Q10)
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10. 12. 2010
MR2610110 Motavalli, Hossein; Rezaei Akbarieh, Amin Exact solutions
of the KleinGordon equation for the scarftype potential via
NikiforovUvarov method. Internat. J. Theoret. Phys. 49 (2010), no.
5, 979987. 81Q05
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18. 10. 2010
MR2639961 Oyewumi, K. J. Realization of the spectrum generating
algebra for the generalized Kratzer potentials. Internat. J.
Theoret. Phys. 49 (2010), no. 6, 13021316. 81V55
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12. 10. 2010
MR2666950 Andrianov, A. A.; Cannata, F.; Sokolov, A. V. Spectral
singularities for nonHermitian onedimensional Hamiltonians:
puzzles with resolution of identity. J. Math. Phys. 51 (2010), no.
5, 052104, 22 pp. 81Q12 (34L10 34L40 47A10 47E05 47N50)
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12. 10. 2010
MR2662467 Das, Ashok; Greenwood, L. An alternative construction of
the positive inner product for pseudoHermitian Hamiltonians:
examples. J. Math. Phys. 51 (2010), no. 4, 042103, 11 pp. 81Q12
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5. 9. 2010
MR2608272 Golovaty, Yu. D.; Hryniv, R. O. On norm resolvent
convergence of Schrödinger operators with $\delta'$like potentials.
J. Phys. A 43 (2010), no. 15, 155204, 14 pp. 81Qxx (34L40 47E05)
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5. 9. 2010
MR2601810 Bender, Carl M.; Mannheim, Philip D. ${\scr{PT}}$ symmetry
and necessary and sufficient conditions for the reality of energy
eigenvalues. Phys. Lett. A 374 (2010), no. 1516, 16161620. 81Q12
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12. 8. 2010
MR2599802 Ghosh, Pijush K. On the construction of a pseudoHermitian
quantum system with a predetermined metric in the Hilbert space. J.
Phys. A 43 (2010), no. 12, 125203, 19 pp. 81Qxx
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12. 8. 2010
MR2599805 Yekken, R.; Lombard, R. J. Energydependent potentials and
the problem of the equivalent local potential. J. Phys. A 43 (2010),
no. 12, 125301, 17 pp. 81Q05 (81P05)
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6. 8. 2010
MR2592328 Gavrilik, A. M.; Rebesh, A. P. Polynomially deformed
oscillators as $k$bonacci oscillators. J. Phys. A 43 (2010), no. 9,
095203, 15 pp. 33D15 (81Q05)
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1. 8. 2010
MR2605019 Gu, XiaoYan; Sun, JianQiang Any $\ell$state solutions
of the Hulthén potential in arbitrary dimensions. J. Math. Phys. 51
(2010), no. 2, 022106, 6 pp. 81Q05
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8. 7. 2010
MR2586146 Cannata, Francesco; Ventura, Alberto Reflectionless
$\scr{PT}$symmetric potentials in the onedimensional Dirac
equation. J. Phys. A 43 (2010), no. 7, 075305, 19 pp. 81Q12
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8. 7. 2010
MR2564076 Jaramillo, Benjamín; MartínezyRomero, R. P.;
NúńezYépez, H. N.; SalasBrito, A. L. On the onedimensional
Coulomb problem. Phys. Lett. A 374 (2009), no. 2, 150153. 81Q60
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28. 6. 2010
MR2604610 Stel'makh, S. N. On the composition of numerical methods
for solving threepoint difference equations. (Russian) Vestsi Nats.
Akad. Navuk Belarusi Ser. Fiz.Mat. Navuk 2009, no. 2, 1723, 125.
65Q10
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31. 5. 2010
MR2591177 Qiang, WenChao; Chen, Wen Li; Li, Kai; Zhang, HuaPing
Improved arbitrary $l$state solutions of the Hulthén potential.
Internat. J. Modern Phys. A 24 (2009), no. 2829, 55235529. 81Q05
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31. 5. 2010
MR2575622 Zhang, MinCang; Sun, GuoHua; Dong, ShiHai Exactly
complete solutions of the Schrödinger equation with a spherically
harmonic oscillatory ringshaped potential. Phys. Lett. A 374
(2010), no. 5, 704708. 81Q05
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21. 5. 2010
MR2546703 Panahi, H.; Jahangiry, L. Shape invariant and Rodrigues
solution of the Diracshifted oscillator and DiracMorse potentials.
Internat. J. Theoret. Phys. 48 (2009), no. 11, 32343240. 81Qxx
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21. 5. 2010
MR2511516 O'Shea, Michael J. Harmonic and anharmonic behaviour of a
simple oscillator. European J. Phys. 30 (2009), no. 3, 549558.
81Q05
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13. 5. 2010
MR2591149 Lavagno, A. Basicdeformed quantum mechanics. Rep. Math.
Phys. 64 (2009), no. 12, 7991. 81R50 (33D90 81Q65)
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27. 4. 2010
MR2539246 Khare, Avinash; Dmitriev, Sergey V.; Saxena, Avadh Exact
static solutions of a generalized discrete $\phi\sp 4$ model
including shortperiodic solutions. J. Phys. A 42 (2009), no. 14,
145204, 23 pp. 81T10
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25. 4. 2010
MR2563310 Makowski, Adam J. Exact, zeroenergy, squareintegrable
solutions of a model related to the Maxwell's fisheye problem.
Ann. Physics 324 (2009), no. 12, 24652472. 81Q05 (81Rxx)
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8. 4. 2010
MR2552015 Gadella, M.; Heras, F. J. H.; Negro, J.; Nieto, L. M. A
delta well with a mass jump. J. Phys. A 42 (2009), no. 46, 465207,
11 pp. 81Q05
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7. 4. 2010
MR2552469 Bagchi, Bijan; Fring, Andreas Minimal length in quantum
mechanics and nonHermitian Hamiltonian systems. Phys. Lett. A 373
(2009), no. 47, 43074310. 81Q12 (81S05)
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17. 3. 2010
MR2546044 Assis, Paulo E. G.; Fring, Andreas From real fields to complex Calogero particles. J. Phys. A 42 (2009), no. 42, 425206, 14 pp. 81Qxx
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17. 3. 2010
MR2546046 Grecchi, Vincenzo; Maioli, Marco; Martinez, André Padé
summability of the cubic oscillator. J. Phys. A 42 (2009), no. 42,
425208, 17 pp. 81Qxx (34L40 41A21)
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16. 3. 2010
MR2573124 Hone, A. N. W.; Senthilvelan, M. Note on the Poisson
structure of the damped oscillator. J. Math. Phys. 50 (2009), no.
10, 102902, 7 pp. 81Qxx (81Sxx)
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5. 3. 2010
MR2560826 Nash, Patrick L.; Weideman, J. A. C. High accuracy
representation of the free propagator. Appl. Numer. Math. 59 (2009),
no. 12, 29372949. 81Q05 (65F30)
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5. 3. 2010
MR2545636 Kraenkel, R. A.; Senthilvelan, M. On the solutions of the
positiondependent effective mass Schrödinger equation of a
nonlinear oscillator related with the isotonic oscillator. J. Phys.
A 42 (2009), no. 41, 415303, 10 pp. 81Qxx
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5. 3. 2010
MR2525490 Killingbeck, J. P. A Hillseries approach to wavefunction
nodes. J. Phys. A 42 (2009), no. 8, 085302, 12 pp. 81Q05 (81V45)
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22. 2. 2010
MR2540389 Su, WangChang Algebraic shape invariant potentials as the generalized deformed oscillator. J. Phys. A 42 (2009), no. 38, 385202, 17 pp. 81Q05
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16. 2. 2010
MR2534521 Compean, C. B.; Kirchbach, M. Momentum space trigonometric
RosenMorse potential. J. Phys. A 42 (2009), no. 36, 365301, 5 pp.
81Qxx (33C55)
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6. 2. 2010
MR2538823 Bendix, Oliver; Fleischmann, Ragnar; Kottos, Tsampikos; Shapiro, Boris: Exponentially fragile $\scr{PT}$ symmetry in lattices with localized eigenmodes. Phys. Rev. Lett. 103 (2009), no. 3, 030402, 4 pp. 81Txx (82Bxx)
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5. 2. 2010
MR2533897 Bender, Carl M.; Besseghir, Karim; Jones, Hugh F.; Yin,
Xinghui Small$\epsilon$ behavior of the nonHermitian $\scr P\scr
T$symmetric Hamiltonian $H=p\sp 2+x\sp 2(ix)\sp \epsilon$. J. Phys.
A 42 (2009), no. 35, 355301, 10 pp. 81Qxx
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1. 2. 2010
MR2525281 Nishimura, Hiromichi; Ogilvie, Michael The largeN limit
of PTsymmetric O(N) models. J. Phys. A 42 (2009), no. 2, 02202,
9 pp. 81Qxx
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22. 1. 2010
MR2525883 Fellows, Jonathan M.; Smith, Robert A. Factorization
solution of a family of quantum nonlinear oscillators. J. Phys. A 42
(2009), no. 33, 335303, 13 pp. 81Q05
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20. 1. 2010
MR2534061 Pahlavani, M. R.; Sadeghi, J.; Ghezelbash, M. Solutions of
the central WoodsSaxon potential in $l\neq 0$ case using
mathematical modification method. Appl. Sci. 11 (2009), 106113.
81Q05 (81V35 83A05)
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13. 1. 2010
MR2539256 Rotter, Ingrid: A nonHermitian Hamilton operator and the
physics of open quantum systems. J. Phys. A 42 (2009), no. 15,
153001, 51 pp. 81Qxx
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written during 2009;
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