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1

Construction of -asymmetric non-Hermitian Hamiltonians with symmetry

Emanuela Caliceti, Francesco Cannata, Miloslav Znojil, Alberto Ventura

Journal:

Physics Letters A

Year:

2005

Language:

english

File:

PDF, 122 KB

english, 2005

2

Three-Hilbert-Space Formulation of Quantum Mechanics

Znojil, Miloslav

Journal:

Symmetry Integrability and Geometry Methods and Applications

Year:

2009

Language:

english

File:

PDF, 325 KB

english, 2009

3

Arnold’s potentials and quantum catastrophes

Znojil, Miloslav

Journal:

Annals of Physics

Year:

2020

Language:

english

File:

PDF, 476 KB

english, 2020

4

Trigonometric identities, angular Schrödinger equations and a new family of solvable models

Vít Jakubský, Miloslav Znojil, Euclides Augusto Luís, Frieder Kleefeld

Journal:

Physics Letters A

Year:

2005

Language:

english

File:

PDF, 118 KB

english, 2005

5

A return to observability near exceptional points in a schematic -symmetric model

Miloslav Znojil

Journal:

Physics Letters B

Year:

2007

Language:

english

File:

PDF, 160 KB

english, 2007

6

PT-symmetric square well

Miloslav Znojil

Journal:

Physics Letters A

Year:

2001

Language:

english

File:

PDF, 59 KB

english, 2001

7

Quasi-exactly solvable quartic potentials with centrifugal and Coulombic terms

Znojil, Miloslav

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2000

Language:

english

File:

PDF, 104 KB

english, 2000

8

Matrix Hamiltonians with a chance of being complex symmetric

Miloslav Znojil

Journal:

Integral Equations and Operator Theory

Year:

2012

Language:

english

File:

PDF, 108 KB

english, 2012

9

CONDITIONS FOR COMPLEX SPECTRA IN A CLASS OF SYMMETRIC POTENTIALS

LÉVAI, GÉZA, ZNOJIL, MILOSLAV

Journal:

Modern Physics Letters A

Year:

2001

Language:

english

File:

PDF, 183 KB

english, 2001

10

Ad Hoc Physical Hilbert Spaces in Quantum Mechanics

Fernández, Francisco M., Garcia, Javier, Semorádová, Iveta, Znojil, Miloslav

Journal:

International Journal of Theoretical Physics

Year:

2015

Language:

english

File:

PDF, 564 KB

english, 2015

11

Non-Selfadjoint Operators in Quantum Physics (Mathematical Aspects) || Index

Bagarello, Fabio, Gazeau, Jean Pierre, Szafraniec, Franciszek Hugon, Znojil, Miloslav

Year:

2015

Language:

english

File:

PDF, 75 KB

english, 2015

12

-symmetric quantum mechanics

Znojil, Miloslav, Semorádová, Iveta, Růžička, František, Moulla, Hafida, Leghrib, Ilhem

Journal:

Physical Review A

Year:

2017

Language:

english

File:

PDF, 215 KB

english, 2017

13

Complex symmetric Hamiltonians and exceptional points of order four and five

Znojil, Miloslav

Journal:

Physical Review A

Year:

2018

Language:

english

File:

PDF, 282 KB

english, 2018

14

Broken-Hermiticity phase transition in the Bose-Hubbard model

Znojil, Miloslav

Journal:

Physical Review A

Year:

2018

Language:

english

File:

PDF, 428 KB

english, 2018

15

Theory of Response to Perturbations in Non-Hermitian Systems Using Five-Hilbert-Space Reformulation of Unitary Quantum Mechanics

Znojil, Miloslav

Journal:

Year:

2020

Language:

english

File:

PDF, 358 KB

english, 2020

16

New perturbation method with the matching of wave functions

Miloslav Znojil

Journal:

International Journal of Quantum Chemistry

Year:

2000

Language:

english

File:

PDF, 190 KB

english, 2000

17

An analytic estimate of the number of bound states in the Lennard-Jones potentials

Miloslav Znojil

Journal:

Physics Letters A

Year:

1994

Language:

english

File:

PDF, 273 KB

english, 1994

18

The perturbative method of Hill determinants

Miloslav Znojil

Journal:

Physics Letters A

Year:

1990

Language:

english

File:

PDF, 176 KB

english, 1990

19

Quasi-exact states in the Lanczos recurrent picture

Miloslav Znojil

Journal:

Physics Letters A

Year:

1991

Language:

english

File:

PDF, 243 KB

english, 1991

20

The potential V(r)=ar2+br−4+cr−6 and a new method of solving the Schrödinger equation

Miloslav Znojil

Journal:

Physics Letters A

Year:

1991

Language:

english

File:

PDF, 307 KB

english, 1991

21

A perturbative Lanczos method

Miloslav Znojil

Journal:

Physics Letters A

Year:

1991

Language:

english

File:

PDF, 348 KB

english, 1991

22

The anharmonic oscillator and the range of validity of its Hill-determinant construction

Miloslav Znojil

Journal:

Physics Letters A

Year:

1991

Language:

english

File:

PDF, 310 KB

english, 1991

23

Spiked but still exact harmonic oscillators

Miloslav Znojil

Journal:

Physics Letters A

Year:

1992

Language:

english

File:

PDF, 337 KB

english, 1992

24

Pairs of anharmonicities and the double delta expansions

Miloslav Znojil

Journal:

Physics Letters A

Year:

1992

Language:

english

File:

PDF, 290 KB

english, 1992

25

Spiked harmonic oscillator and Hill determinants

Miloslav Znojil

Journal:

Physics Letters A

Year:

1992

Language:

english

File:

PDF, 360 KB

english, 1992

26

Three-point Padé resummation of perturbation series for anharmonic oscillators

Miloslav Znojil

Journal:

Physics Letters A

Year:

1993

Language:

english

File:

PDF, 692 KB

english, 1993

27

Two-sided estimates of energies and the “forgotten” exactly solvable potential V (r) = -a2r−2 + b2r−4

Miloslav Znojil

Journal:

Physics Letters A

Year:

1994

Language:

english

File:

PDF, 316 KB

english, 1994

28

Minimal relativity and Hulthén potentials

Miloslav Znojil

Journal:

Physics Letters A

Year:

1995

Language:

english

File:

PDF, 267 KB

english, 1995

29

The most general iteration scheme for Lippmann-Schwinger-type equations

Miloslav Znojil

Journal:

Physics Letters A

Year:

1996

Language:

english

File:

PDF, 559 KB

english, 1996

30

Double well model V(r) = ar2 + br4 + cr6 with a < 0 and perturbation method with triangular propagators

Miloslav Znojil

Journal:

Physics Letters A

Year:

1996

Language:

english

File:

PDF, 572 KB

english, 1996

31

Linear representation of energy-dependent Hamiltonians

Miloslav Znojil

Journal:

Physics Letters A

Year:

2004

Language:

english

File:

PDF, 189 KB

english, 2004

32

Perturbation method for non-square Hamiltonians and its application to polynomial oscillators

Miloslav Znojil

Journal:

Physics Letters A

Year:

2005

Language:

english

File:

PDF, 163 KB

english, 2005

33

-symmetric quantum toboggans

Miloslav Znojil

Journal:

Physics Letters A

Year:

2005

Language:

english

File:

PDF, 213 KB

english, 2005

34

Comment on: “Comparison of quantal and classical behavior of PT-symmetric systems at avoided crossings” [Phys. Lett. A 334 (2005) 144]

Hynek Bíla, Miloš Tater, Miloslav Znojil

Journal:

Physics Letters A

Year:

2006

Language:

english

File:

PDF, 177 KB

english, 2006

35

Strengthened PT-symmetry with

Miloslav Znojil

Journal:

Physics Letters A

Year:

2006

Language:

english

File:

PDF, 133 KB

english, 2006

36

Quasi-exact minus-quartic oscillators in strong-core regime

Miloslav Znojil

Journal:

Physics Letters A

Year:

2006

Language:

english

File:

PDF, 132 KB

english, 2006

37

Determination of the domain of the admissible matrix elements in the four-dimensional -symmetric anharmonic model

Miloslav Znojil

Journal:

Physics Letters A

Year:

2007

Language:

english

File:

PDF, 178 KB

english, 2007

38

Classification of the conditionally observable spectra exhibiting central symmetry

Jun-Hua Chen, Edita Pelantová, Miloslav Znojil

Journal:

Physics Letters A

Year:

2008

Language:

english

File:

PDF, 115 KB

english, 2008

39

Quantum knots

Miloslav Znojil

Journal:

Physics Letters A

Year:

2008

Language:

english

File:

PDF, 213 KB

english, 2008

40

Discrete quantum square well of the first kind

Miloslav Znojil

Journal:

Physics Letters A

Year:

2011

Language:

english

File:

PDF, 785 KB

english, 2011

41

The crypto-Hermitian smeared-coordinate representation of wave functions

Miloslav Znojil

Journal:

Physics Letters A

Year:

2011

Language:

english

File:

PDF, 453 KB

english, 2011

42

Construction of a unique metric in quasi-Hermitian quantum mechanics: Nonexistence of the charge operator in a matrix model

Miloslav Znojil, Hendrik B. Geyer

Journal:

Physics Letters B

Year:

2006

Language:

english

File:

PDF, 127 KB

english, 2006

43

Erratum to: “Construction of a unique metric in quasi-Hermitian quantum mechanics: Nonexistence of the charge operator in a matrix model” [Phys. Lett. B 640 (2006) 52]

Miloslav Znojil, Hendrik B. Geyer

Journal:

Physics Letters B

Year:

2007

Language:

english

File:

PDF, 73 KB

english, 2007

44

Conditional observability

Miloslav Znojil

Journal:

Physics Letters B

Year:

2007

Language:

english

File:

PDF, 407 KB

english, 2007

45

Supersymmetry without hermiticity within PT symmetric quantum mechanics

Miloslav Znojil, Francesco Cannata, Bijan Bagchi, Rajkumar Roychoudhury

Journal:

Physics Letters B

Year:

2000

Language:

english

File:

PDF, 64 KB

english, 2000

46

Perturbed Pöschl–Teller oscillators

Miloslav Znojil

Journal:

Physics Letters A

Year:

2000

Language:

english

File:

PDF, 63 KB

english, 2000

47

The Coulomb – harmonic oscillator correspondence in PT symmetric quantum mechanics

Miloslav Znojil, Géza Lévai

Journal:

Physics Letters A

Year:

2000

Language:

english

File:

PDF, 138 KB

english, 2000

48

One-dimensional Schrödinger equation and its “exact” representation on a discrete lattice

Miloslav Znojil

Journal:

Physics Letters A

Year:

1996

Language:

english

File:

PDF, 437 KB

english, 1996

49

Asymmetric bound states via the quadrupled Schrödinger equation

Miloslav Znojil

Journal:

Physics Letters A

Year:

1997

Language:

english

File:

PDF, 382 KB

english, 1997

50

Singular potentials with quasi-exact Dirac bound states

Miloslav Znojil

Journal:

Physics Letters A

Year:

1999

Language:

english

File:

PDF, 54 KB

english, 1999