CONCISE REVIEW OF PT SYMMETRY

THEORY

INDETERMINATE SCALAR PRODUCT (quant-ph/0103054):
M. Znojil,
What is PT symmetry?
submitted.
PSEUDOUNITARY TIME EVOLUTION (math-ph/0104012):
M. Znojil,
Conservation of pseudo-norm in PT symmetric quantum mechanics,
submitted
CHANGES OF VARIABLES:
G. Levai and M. Znojil,
Systematic search for PT symmetric potentials with real energy spectra
J. Phys. A: Math. Gen. 33 (2000) 7165.

INSPECTION

PERTURBATIVELY:
M. F. Fernández, R. Guardiola, J. Ros and M. Znojil,
Strong-coupling expansions for PT-symmetric oscillators.
J. Phys. A 31 (1998) 10105 - 12.
USING RUNGE KUTTA (quant-ph/9812026):
M. F. Fernández, R. Guardiola, J. Ros and M. Znojil,
A family of complex potentials with real spectrum.
J. Phys. A 32 (1999) 3105 - 16.
USING HILL DETERMINANTS (quant-ph/9906029):
M. Znojil,
Non-Hermitian matrix description of the PT-symmetric anharmonic oscillators
J. Phys. A: Math. Gen. 32 (1999) 7419 - 28.

QUASI-EXACT MODELS

COULOMB + HARMONIC (math-ph/9904039):
M. Znojil,
Harmonic oscillator well with a screened Coulombic core is quasi-exactly solvable.
J. Phys. A: Math. Gen. 32 (1999) 4563 - 70.
SPIKED QUARTIC (math-ph/0002036v2):
M. Znojil,
Quasi-exactly solvable quartic potentials with centrifugal and Coulombic terms
J. Phys. A 33 (2000) 4203 - 11.
EXTREME: DECADIC OSCILLATOR (quant-ph/0002083):
M. Znojil,
Spiked and PT-symmetrized decadic potentials supporting elementary N-plets of bound states
J. Phys. A: Math. Gen. 33 (2000) 6825.

LAGUERRE POLYNOMIAL SOLUTIONS

ON STRAIGHT LINE (quant-ph/9905020):
M. Znojil,
PT symmetric harmonic oscillators
Phys. Lett. A 259 (1999) 220 - 3.
LINE CURVED DOWN (quant-ph/9909003):
M. Znojil,
Exact solution for Morse oscillator in PT-symmetric quantum mechanics
Phys. Lett. A 264 (1999) 108 - 11.
LINE CURVED UP (quant-ph/0003081):
M. Znojil and G. Levai,
The Coulomb - harmonic-oscillator correspondence in PT symmetric quantum mechanics
Phys. Lett. A 271 (2000) 327 - 333.

JACOBI POLYNOMIAL SOLUTIONS

REGULAR CASE (quant-ph/9911116v1):
M. Znojil,
Shape invariant potentials with PT symmetry
J. Phys. A: Math. Gen. 33 (2000) L61-2.
SINGULAR CASE (quant-ph/9912027v2):
M. Znojil,
PT-symmetrically regularized Eckart, Poeschl-Teller and Hulthen potentials
J. Phys. A: Math. Gen. 33 (2000) 4561 - 4572.
PERIODIC CASE (quant-ph/0008125v2):
M. Znojil,
Solvable PT symmetric Hamiltonians
to appear in proceedings: 23 CGTMP, Dubna, 2000

SQUARE WELLS

ON A FINITE INTERVAL (quant-ph/0101131):
M. Znojil,
PT symmetric square well,
Phys. Lett. A, to appear.
INFINITE INTERVAL (quant-ph/0103115):
M. Znojil,
Solvable analogue of imaginary cubic oscillator,
submitted
IN P REPRESENTATION (math-ph/0101027):
M. Znojil,
Imaginary cubic oscillator in p representation,
submitted

SUPERSYMMETRIC CONTEXT

WITTEN'S QM (math-ph/0102017):
R. Roychoudhury, P. Roy, M. Znojil and G. Le'vai,
Comprehensive analysis of conditionally exactly solvable models,
J. Math. Phys, to appear
BEYOND (hep-th/0003277):
M. Znojil, F. Cannata, B. Bagchi and R. Roychoudhury,
Supersymmetry without hermiticity within PT symmetric quantum mechanics
Phys. Lett. B 483 (2000) 284 - 289.
IN BETWEEN (quant-ph/0104059):
M. Znojil, G. Le'vai, P. Roy and R. Roychoudhury,
Anomalous doublets of states in a PT symmetric quantum model,
submitted
SYNTHESIS (hep-ph/0101038):
M. Znojil,
PT symmetrized SUSY quantum mechanics
Czech. J. Phys., to appear

TOWARDS MANY-BODY THEORY

PT-SYMMETRIZED THREE-BODY CALOGERO (quant-ph/0010087):
M. Znojil and M. Tater,
Complex Calogero model with real energies
J. Phys. A: Math. Gen. 34 (2001) 1793-1803.
PT-SYMMETRIZED RADIAL FUNCTIONS (hep-th/0012002):
M. Znojil,
Annihilation and creation operators anew,
(re-)submitted
PT-SYMMETRIZED ANGULAR FUNCTIONS (math-ph/0102034):
M. Znojil,
Poeschl-Teller paradoxes,
submitted
CALOGERO MODEL WITH TUNNELING (nucl-th/0103015):
M. Znojil and M. Tater,
Exactly solvable three-body Calogero-type model with translucent two-body barriers
Phys. Lett. A, to appear

CONCISE REVIEW OF PT SYMMETRY

THEORY

INDETERMINATE SCALAR PRODUCT (quant-ph/0103054):

PSEUDOUNITARY TIME EVOLUTION (math-ph/0104012):

CHANGES OF VARIABLES:

INSPECTION

PERTURBATIVELY:

USING RUNGE KUTTA (quant-ph/9812026):

USING HILL DETERMINANTS (quant-ph/9906029):

QUASI-EXACT MODELS

COULOMB + HARMONIC (math-ph/9904039):

SPIKED QUARTIC (math-ph/0002036v2):

EXTREME: DECADIC OSCILLATOR (quant-ph/0002083):

LAGUERRE POLYNOMIAL SOLUTIONS

ON STRAIGHT LINE (quant-ph/9905020):

LINE CURVED DOWN (quant-ph/9909003):

LINE CURVED UP (quant-ph/0003081):

JACOBI POLYNOMIAL SOLUTIONS

REGULAR CASE (quant-ph/9911116v1):

SINGULAR CASE (quant-ph/9912027v2):

PERIODIC CASE (quant-ph/0008125v2):

SQUARE WELLS

ON A FINITE INTERVAL (quant-ph/0101131):

INFINITE INTERVAL (quant-ph/0103115):

IN P REPRESENTATION (math-ph/0101027):

SUPERSYMMETRIC CONTEXT

WITTEN'S QM (math-ph/0102017):

BEYOND (hep-th/0003277):

IN BETWEEN (quant-ph/0104059):

SYNTHESIS (hep-ph/0101038):

TOWARDS MANY-BODY THEORY

PT-SYMMETRIZED THREE-BODY CALOGERO (quant-ph/0010087):

PT-SYMMETRIZED RADIAL FUNCTIONS (hep-th/0012002):

PT-SYMMETRIZED ANGULAR FUNCTIONS (math-ph/0102034):

CALOGERO MODEL WITH TUNNELING (nucl-th/0103015):