The most recent results
  

updated: March 24, 2000


contact data
CV data
with Czech version:
česká stránka
list of papers
1988-98

A N D
1999

(with a short guide in Czech)


P L U S
the two texts in print, viz.,
on the shape invariance
(to appear in J. Phys. A)
and
on a new perturbation recipe
(to appear in J. Math. Chem.)


P L U S
the texts of my
extended abstracts
 
(to be) published in
MATH. REVIEWS
A N D
preprints
A N D
talks

P L U S
a guide to the
recent results:

  SOLVABLE MODELS

* Morse type model
Phys. Lett. A 264 (1999) 108-11
* Harmonic oscillator
Phys. Lett. A 259 (1999) 220-3

  PT SYMMETRIC QM

* Hill-determinants
J. Phys. A: Math. Gen. 32 (1999) 7419-28
* Charged oscillator
J. Phys. A: Math. Gen. 32 (1999) 4563
* F. M. Fernández, R. Guardiola, J. Ros, M. Z.,
Hyperbolic wells
J. Phys. A: Math. Gen. 32 (1999) 3105, with

  DIRAC EQUATION

* Lowered order
Mod. Phys. Lett. A 14 (1999) 863
* Singular forces
Phys. Lett. A 255 (1999) 1

  PERTURBATION THEORY

* A nonlinear formalism
J. Math. Chem., to appear


plus a few
O L D E R
papers on


  PERTURBATION THEORY
* The strong-coupling expansions using PT symmetry
F. M. Fernández, R. Guardiola, J. Ros and me, J. Phys. A: Math. Gen. 31 (1998) 10105
* Perturbation expansions with Sturmians
J. Math. Phys. 38 (1997) 5087
* Hessenberg-matrix Hamiltonians
Int. J. Mod. Phys. A 12 (1997) 299

  QUANTUM MECHANICS IN 2 DIMENSIONS
* Asymptotically repulsive asymmetric confinement
J. Phys. A: Math. Gen. 31 (1998) 3349
* Shooting perturbation method in more dimensions
J. Phys. A: Math. Gen. 30 (1997) 8771

  NUMERICAL METHODS
* Quadrupled Schroedinger equation
Phys. Lett. A 230 (1997) 283
* Schroedinger equation de-discretized
Phys. Lett. A 223 (1996) 411
* Lanczos method for scattering
Phys. Lett. A 211 (1996) 319

  RELATIVISTIC CORRECTIONS
* Pauli-Schroedinger quasi-exact bound states
J. Phys. A: Math. Gen. 29 (1996) 6443
* Quasi-relativistic harmonic oscillators
J. Phys. A: Math. Gen. 29 (1996) 2905

(returning to the

results once more?)


PT symmetric quantum mechanics


New methods in perturbation theory