28. 12. 2007
lip brat Krylova oboustr.
( here in pdf and here in pdf, zipped)

28. 12. 2007
symmetry inherited for fine mesh
( here in pdf and here in pdf, zipped)

9. 11. 2007
quaternionic matrices
( here in pdf and here in pdf, zipped)

16. 10. 2007
t-dep pseudo H
( here in pdf and here in pdf, zipped)

2. 10. 2007
QR(3) PDM in SIGMA
( here in pdf and here in pdf, zipped)

1. 10. 2007
one-state QES 3-body, separabilized
( here in pdf and here in pdf, zipped)

23. 8. 2007
(gen.) Krylov orthogonalized
( here in pdf and here in pdf, zipped)

18. 8. 2007
PT Hulthen KG
( here in pdf)

30. 7. 2007
hle nove PT dejiny 2 x 2 (Grass. CS)
( here in pdf)

30. 7. 2007
Poeschl Dirac blabol
( here in pdf)

30. 7. 2007
Morse Dirac Riccati
( here in pdf)

30. 6. 2007
path for -x^4
( here in pdf)

25. 6. 2007
ix
( here in pdf)

14. 5. 2007
zamena base v differencnich rov.
( here in pdf)

19. 4. 2007
YM diagon.
( here in pdf)

26. 2. 2007
matrix cont. fractions
( here in pdf)

23. 2. 2007
Ali M. on delta
( here in pdf)

12. 2. 2007
Frieder on product
( here in pdf)

12. 2. 2007
Levai on scarfs
( here in pdf)

12. 2. 2007
Cannata and Ventura on scattering
( here in pdf)

8. 2. 20067
Ali Mostafazadeh on weak pseudo-Hermiticity
( here in pdf)

5. 12. 2006
Sokolov, Andrianova and Cannata on self-orthogonality
( here in pdf)

27. 11. 2006
Geza Levai on Scarf I
( here in pdf)

27. 11. 2006
Mondragon et al on EP (unbound states)
( here in pdf)

14. 11. 2006
Zafar Ahmed on WKB
( here in pdf)

13. 11. 2006
Fei on integrability
( here in pdf)

25. 5. 2006
next iter. conv.

15. 5. 2006
diag. tridiag. matr.

11. 5. 2006
diag. large matr.
( here in pdf)

3. 4. 2006
Solve ODE (reson.)? HEG!
( here in pdf)

3. 4. 2006
Solve OD-DE? Insert Taylor ansatz!
( here in pdf)

3. 3. 2006
WKB, PT-way
( here in pdf)

2. 1. 2006
ekvidiskretizace Laplac.
( here in pdf)

22. 12. 2005
A t-dep. ``PT-sym." Ham.
( here in pdf)

20. 12. 2005
A t-dep. ``PT-sym." Ham.
( here in pdf)

20. 12. 2005
recurrences made stable by rotation
( here in pdf)

30. 11. 2005
crazy diagon.
( here in pdf)

3. 11. 2005
Hulthen Diracque
( here in pdf)

4. 10. 2005
Newton for more var.
( here in pdf)

5. 9. 2005
Tomio: delta multiprime
( here in pdf)

5. 9. 2005
Leach in Greece: correct BCs for HO
( here in pdf)

5. 9. 2005
Voros in Japan: zeta for pert.
( here in pdf)

27. 7. 2005
rozdil stop
( here in pdf)

1. 6. 2005
imkub a Swans. by Hugh
( here in pdf)

27. 5. 2005
Dirac Woods Saxon
( here in pdf)

26. 5. 2005
singularity a la Lie (PGL)
( here in pdf)

19. 5. 2005
singularity a la Lie (PGL, ctd.)
( here in pdf)

12. 5. 2005
order of smallness of densities (d=2)
( here in pdf)

25. 4. 2005
E-reality for V ~ x^{4r+2}+igx^{2r-1}
( here in pdf)

21. 4. 2005
Barbanis potential, class. and quant. chaos
( here in pdf)

18. 4. 2005
x-dependent mass for W II
( here in pdf)

25. 3. 2005
PT symmetry, Weigert's (=classical) way
in pdf

17. 3. 2005
SUSY PT Levai
in pdf

1. 3. 2005
m-polynomial Heisenberg algebra
( here in pdf)

1. 3. 2005
Liouville-Green trig.
( here in pdf)

5. 2. 2005
PT band spectrum, solvable model

5. 2. 2005
re-factorization (I = T/T) in susy qm

5. I. 2005
erroneous exact solution
( here and ( here in pdf)

23. XII. 2004
KG (A. M.) for Burdik
( here in pdf - older) ( here in pdf - newer)

2. XI. 2004
Schroedinger with fractional time derivative
( here in pdf)

31. 8. 2004
V=1/x^2 discretely
( here in pdf)

23. 8. 2004
energy dependence

19. 8. 2004
vectorial continued fractions
( here in pdf)

20. 7. 2004
exceptional points for pendula
( here in pdf)

24. 6. 2004
discrete Volterra periodic
( here in pdf)

31. 5. 2004
pseudounitary Ali

13. 5. 2004
CF's
( here in pdf)

6. 4. 2004
DFT
( here in pdf)

16. 2. 2004
diskr. Green
( here in pdf)

5. 1. 2004
nelin. podgonka
(in pdf - and in ps)

5. 1. 2004
delta prime
(in pdf - and in ps)

27. 10. 2003,
PT scattering

12. 9. 2003,
A times v: having both negative and positive components

3. 6. 2003,
re-Hermitization via new scalar product (corrected)

28. 5. 2003,
PT symmetric Henon Heiles II (also in pdf)

28. 5. 2003,
matrix continued fractions for square roots (also in pdf)

5. 5. 2003,
existence of solutions for special 2D Hartree Fock

20. 3. 2003, CNO: 1946969
Kaushal, R. S. ; Parthasarathi : "Quantum mechanics of complex Hamiltonian systems in one dimension" J. Phys. A 35 (2002), no. 41, 8743--8761.

19. 2. 2003, CNO: 1934444
Edwards, John T. ; Ford, Neville J. : "Boundedness and stability of solutions to difference equations. " J. Comput. Appl. Math. 140 (2002), no. 1-2, 275--289 [Proceedings of the 9th International Congress on Computational and Applied Mathematics (Leuven, 2000)].

19. 2. 2003, CNO: 1940450
Mostafazadeh, Ali: "Pseudo-Hermiticity for a class of nondiagonalizable Hamiltonians" J. Math. Phys. 43 (2002), no. 12, 6343--6352.

3. 2. 2003, CNO: 1937098
Scolarici, G. ; Solombrino, L. : "Pseudo-Hermitian Hamiltonians, time-reversal invariance and Kramers degeneracy. " Phys. Lett. A 303 (2002), no. 4, 239--242.

3. 2. 2003, CNO: 1936965
Mostafazadeh, Ali: "On the pseudo-Hermiticity of a class of PT-symmetric Hamiltonians in one dimension." Modern Phys. Lett. A 17 (2002), no. 30, 1973--1977.

3. 2. 2003, CNO: 1937095
Dmitrieva, L. A. ; Pyatkin, D. A.: "Elliptic finite-gap densities of the polar operator." Phys. Lett. A 303 (2002), no. 1, 37--44

16. 1. 2003, CNO: 1921181
Buslaeva, S. F.: "On Perron's theorem for compositions of linear-fractional transformations." (in Russian) in ``Teor. Nablizh. funkc. Zast.", Pracy Inst. Mat. Nats. Akad. Nauk Ukr. 31 (2000) 65--71

13. 12. 2002, CNO: 1927992
Bagchi, B. ; Quesne, C.: "Pseudo-Hermiticity, weak pseudo-Hermiticity and $\eta$-orthogonality condition." Phys. Lett. A 301 (2002), no. 3-4, 173--176.

5. 12. 2002, CNO: 1928019
Jia, Chun-Sheng ; Li, Shu-Chuan ; Li, Yun ; Sun, Liang-Tian: "Pseudo-Hermitian potential models with PT symmetry" Phys. Lett. A 300 (2002), no. 2-3, 115--121.

2. 12. 2002, CNO: 1928032
Lévai, G. ; Cannata, F. ; Ventura, A.: "PT symmetry breaking and explicit expressions for the pseudo-norm in the Scarf II potential." Phys. Lett. A 300 (2002), no. 2-3, 271--281.

2. 12. 2002, CNO: 1927440
Bagchi, B. ; Quesne, C.: "Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework" Phys. Lett. A 300 (2002), no. 1, 18--26.

6. 11. 2002, CNO: 1923128
Ahmed, Zafar: "Pseudo-Hermiticity of Hamiltonians under gauge-like transformation: real spectrum of non-Hermitian Hamiltonians." Phys. Lett. A 294 (2002), no. 5-6, 287--291.

4. 10. 2002, CNO: 1916363
Lévai, G. ; Cannata, F. ; Ventura, A.: "PT-symmetric potentials and the so(2,2) algebra." J. Phys. A 35 (2002), no. 24, 5041--5057.

27. 9. 2002, CNO: 1886432
Kéri, Gerzson: "The Sherman-Morrison formula for the determinant and its application for optimizing quadratic functions on condition sets given by extreme generators." Optimization theory (Mátraháza, 1999), 119--138, Appl. Optim., 59, Kluwer Acad. Publ., Dordrecht, 2001.

27. 9. 2002, CNO: 1914178
Choi, Jeong-Ryeol; Zhang, Shou: "Thermodynamics of the standard quantum harmonic oscillator of time-dependent frequency with and without inverse quadratic potential." J. Phys. A 35 (2002), no. 12, 2845--2855.

4. 9. 2002, CNO: 1910625
Miyazaki, Mitoshi; Tsutsui, Izumi: "Quantum tunneling and caustics under inverse square potential." Ann. Physics 299 (2002), no. 1, 78--87.

4. 9. 2002, CNO: 1904984
Albeverio, Sergio; Fei, Shao-Ming; Kurasov, Pavel: "Point interactions: PT-Hermiticity and reality of the spectrum." Lett. Math. Phys. 59 (2002), no. 3, 227--242.

21. 8. 2002, CNO: 1891813
Jafarpour, Mojtaba; Afshar, Davood: "Calculation of energy eigenvalues for the quantum anharmonic oscillator with a polynomial potential." J. Phys. A 35 (2002), no. 1, 87--92.

4. 7. 2002, CNO: 1876174
Xu, Xiu-wei; Zhang, Yong-de; Hou, Guang: "General solution for multi-dimensional time-dependent coupled quantum oscillator." Nuovo Cimento Soc. Ital. Fis. B (12) 116 (2001), no. 6, 713--718.

4. 7. 2002, CNO: 1866593
Dorodnitsyn, Vladimir: "Noether-type theorems for difference equations." Appl. Numer. Math. (special issue: Themes in geometric integration) 39 (2001), no. 3-4, 307--321.

17. 4. 2002, CNO: 1872877
Kaushal, R. S.: "On the quantum mechanics of complex Hamiltonian systems in one dimension." J. Phys. A 34 (2001), no. 49, L709--L714.

12. 4. 2002, CNO: 1876902
Mondal, Chandan Kumar; Maji, Kaushik; Bhattacharyya, S. P. : "On the eigenvalues and dynamics of non-Hermitian PT symmetric Hamiltonians in finite basis spaces." Phys. Lett. A 291 (2001), no. 4-5, 203--207.

20. 3. 2002, CNO: 1873185
Handy, C. R.; Wang, Xiao Qian: ``Extension of a spectral bounding method to complex rotated Hamiltonians, with application to $p\sp 2-ix\sp 3$. " J. Phys. A 34 (2001), no. 40, 8297--8307.

20. 2. 2002, CNO: 1855381
Handy, C. R.: ``Generating converging bounds to the (complex) discrete states of the $P\sp 2+iX\sp 3+i\alpha X$ Hamiltonian." J. Phys. A 34 (2001), no. 24, 5065--5081.

20. 2. 2002, CNO: 1862637
Trzaska, Zdzislaw W.: ``On discrepancies between solutions to discrete models for hyperbolic systems of conservation laws: continued fractions approach." Commun. Anal. Theory Contin. Fract. 9 (2001), 76--88.

29. 1. 2002, CNO: 1863255
Yeon, Kyu-Hwang; Kim, Suk-Sung; Moon, Young-Mo; Hong, Suc-Kyoung; Um, Chung-In; George, Thomas F.: ``The quantum under-, critical- and over-damped driven harmonic oscillators." J. Phys. A 34 (2001), no. 37, 7719--7732.

7. 1. 2002, CNO: 1862079
Bagchi, B., Mallik, S., Quesne, C. and Roychoudhury, R.: ``A PT symmetric QES partner to the Khare-Mandal potential." Phys. Lett. A 289 (2001) 34 - 38.

4. 12. 2001, CNO: 1686010
Buslaev, V. I.: ``On Poincaré's theorem and its applications to problems of the convergence of continued fractions." (Russian) Mat. Sb. 189 (1998), no. 12, 13--28; translation in Sb. Math. 189 (1998), no. 11-12, 1749--1764.

2. 10. 2001, CNO: 1837992
Huy, Nguyen Thieu; Minh, Nguyen Van: ``Exponential dichotomy of difference equations and applications to evolution equations on the half-line."" Advances in difference equations, III. Comput. Math. Appl. 42 (2001), no. 3-5, 301--311.

10. 9. 2001, CNO: 1833986
Aptekarev, A. I.; Kastro Smirnova, M. : ``Convergence of vector Stieltjes continued fractions. (Russian)" Dokl. Akad. Nauk 375 (2000), no. 6, 727--729.

22. 8. 2001, CNO: 1826028
Lévai, G.; Cannata, F.; Ventura, A. : ``Algebraic and scattering aspects of a $\scr{PT}$-symmetric solvable potential." J. Phys. A 34 (2001), no. 4, 839--844.

22.8.. 2001, CNO: 1826875
Kaushal, R. S.: `` Quantum analogue of Ermakov systems and the phase of the quantum wave function." Internat. J. Theoret. Phys. 40 (2001), no. 4, 835--847.

21. 6. 2001, CNO: 1815225
Dhillon, H. S.; Kusmartsev, F. V.; Kürten, K. E.: ``Fractal and chaotic solutions of the discrete nonlinear Schrödinger equation in classical and quantum systems" J. Nonlinear Math. Phys. 8 (2001), no. 1, 38--49.

13. 6. 2001, CNO: 1798005
de Castro, Antonio Soares; Franklin, Jerrold: ``Exact solutions of the Dirac equation for modified Coulombic potentials" Internat. J. Modern Phys. A 15 (2000), no. 27, 4355--4360.

14. 5. 2001, CNO: 1805176
Abramov, S. A.; Barkatou, M. A. : ``Rational solutions of first order linear difference systems" Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation (Rostock), 124--131 (electronic), ACM, New York, 1998.

14. 5. 2001, CNO: 1810688
Hou, Guang; Xu, Xiuwei; Zhang, Yongde: ``To solve quantum quadratic systems depends on time" Nuovo Cimento Soc. Ital. Fis. B (12) 115 (2000), no. 10, 1217--1226.

14. 5. 2001, CNO: 1804893
Ran, Yangqiang; Xue, Lihui; Hu, Sizhu; Su, Ru-Keng: ``On the Coulomb-type potential of the one-dimensional Schrödinger equation" J. Phys. A 33 (2000), no. 50, 9265--9272.

11. 4. 2001, CNO: 1806092
Mavromatis, Harry A. : ``A Hamiltonian decomposition technique for improving the convergence of perturbation series" Amer. J. Phys. 68 (2000), no. 12, 1134--1138.

5. 4. 2001, CNO: 1803158
Ganguly, Asish. : ``Associated Lamé equation, periodic potentials and ${\rm sl}(2,\bold R)$." Modern Phys. Lett. A 15 (2000), no. 31, 1923--1930.

23.3. 2001, CNO: 1801744
Selg, Matti.: ``Exactly solvable potential with a pronounced maximum." Proc. Estonian Acad. Sci. Phys. Math. 49 (2000), no. 4, 233--250.

8. 2. 2001
Maamache, M.; Choutri, M.: ``Exact evolution of the generalized damped harmonic oscillator." J. Phys. A 33 (2000), no. 35, 6203--6210.

26. 1. 2001
Jia, Chun-Sheng; Wang, Jia-Ying; He, Su; Sun, Liang-Tian: ``Shape invariance and the supersymmetry WKB approximation for a diatomic molecule potential." J. Phys. A 33 (2000), no. 39, 6993--6998.

11. 12. 2000
Child, Mark S.; Dong, Shi-Hai; Wang, Xiao-Gang; ``Quantum states of a sextic potential: hidden symmetry and quantum monodromy." J. Phys. A 33 (2000), no. 32, 5653--5661.

11.12. 2000
Mustafa, Omar; Odeh, Maen: ``Part of the D-dimensional spiked harmonic oscillator spectra." (shifted-l expansions) J. Phys. A 33 (2000), no. 29, 5207--5217.

15.11. 2000
Álvarez, Gabriel; Casares, Carmen: ``Exponentially small corrections in the asymptotic expansion of the eigenvalues of the cubic anharmonic oscillator." (Two-scale perturbation series, all orders) J. Phys. A 33 (2000), no. 29, 5171--5182.

15.11. 2000
Szmytkowski, Rados\l aw; \.Zywicka-Mo\.zejko, Bo\.zena: ``Sturmian basis functions for the harmonic oscillator". Beware of the well upside down! (Phys. Rev. A (3) 62 (2000), no. 2, 022104, 6 pp).

2.11. 2000
Dong, Shi-Hai: ``Exact solutions of the two-dimensional Schrödinger equation with certain central potentials". Rediscovery that the sextic, Coulomb and inverse sextic anharmonicities are QES (Internat. J. Theoret. Phys. 39 (2000), no. 4, 1119--1128).

27.10. 2000
Khare, Avinash; Mandal, Bhabani Prasad: ``A PT-invariant potential with complex QES eigenvalues" for even M (and real ones for odd M) (Phys. Lett. A 272 (2000), no. 1-2, 53--56).

27.9. 2000
Avdelas, G.; Simos, T. E.:``Embedded eighth order methods for the numerical solution of the Schrödinger equation" (=Numerov-like) do well for Lennard Jones phases (J. Math. Chem. 26 (1999), no. 4, 327--341).

6.9. 2000
Lam, C. S.: ``Time ordering, energy ordering, and factorization" are mutally interrelated (J. Math. Phys. 41 (2000), no. 7, 4497--4507).

6.9. 2000
de Castro, A. S.; de Souza Dutra, A.: ``Approximate ... (= energies) of a ... (= quartic) potential ..." = simply interpolation (Phys. Lett. A 269 (2000), no. 5-6, 281--286).

28. 8. 2000
Iachello, F. and Del Sol Mesa, A: ``A class of exactly solvable matrix models" like Hueckel (J. Math. Chem. 25 (1999) 345 - 363).

23. 8. 2000
Xu, Xiu-wei: ``Exactly solving a two-dimensional time-dependent coupled quantum oscillator" in closed form, via Bogoljubov trasformation (J. Phys. A 33 (2000), no. 12, 2447--2452).

23. 8. 2000
Lu, Huaixin; Zhang, Yongde: ``Eigenvalue and eigenfunction of $n$-mode boson quadratic Hamiltonian" in compact form, via Bogoljubov trasformation (Internat. J. Theoret. Phys. 39 (2000), no. 2, 447--454).

21. 8. 2000
Bjerrum-Bohr, Niels Emil Jannik shows that and how ``1/N expansions in nonrelativistic quantum mechanics" do diverge (J. Math. Phys. 41 (2000), no. 5, 2515--2536).

10. 8. 2000
Bender Wu formula - another resurgent proof.

25. 7.
Feshbach-Villars two-component reformulation of a solvable Klein-Gordon model.

25. 7. 2000
Infinite systems of nonlinear difference equations and the existence of their periodic solutions

1. 7.
Efimov effect in a discrete model

13. 6.
Nonlinear difference equations and the existence and properties of their continuous and bounded solutions

13. 6.
Lowering of order (i.e., riccatization giving nonlinear superposition formulae) for discrete (and Hamiltonian, i.e., symplectic) dynamical systems

26. 5.
Review of numerical methods (plus a new one) for the long-time quantum evolutions

12. 4.
Three hundred years after Jacopo Francesco Riccati (1676 - 1754) ...

27. 3.
My own example (square rooted harmonic oscillator) revisited via shifted-l expansion (ground state).

15. 3.
Nodal hypersurfaces.

4. 2.
Ionization threshold for deuterium.

3. 2.
Lewis Leach pre-quantized

31. 1. 2000
Nonlinear Schroedinger discretized.

30. 11. 1999
Hydrogen raising and lowering list.

17. 11.
Arrow-Hurwitz algorithm is ``universal"

21. 10.
Linear version of Calogero equation

15. 9.
On a proof of convergence of finite elements

28. 7.
On paper on special transformation brackets

15. 6. MR 2000 a : 81256
On paper on evaluation of self-energies

15. 6. MR 99 m : 81049
Coulomb wave functions related to Heun equation

28. 5.
Given the binding energy, they re-construct potentials!

28. 5. MR 99 m : 81041
On a math. study of time-dependence of bound states

24. 5. MR 99 m : 65026
Continued fractions reviewed

21. 4. MR 99 j : 65059
Generalized eigenvalue problem: Fixing the norm of a resolvent on a vector one gets a ``pseudo-eigenvalue"

17. 3. MR 2000 a : 31010
Discretizing PDE

15. 2. MR 99 h : 81028
Equal tractability of the bound and scattering (Coulomb) states

18. 1. 1999 MR 99 h : 81038
The so called chiral oscillators