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Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects

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

1, 2015

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Non-Hermitian coupled cluster method for non-stationary systems and its interaction-picture reinterpretation

European physical journal plus, 2020-04, Vol.135 (4), p.374, Article 374

2020

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Bifurcations of thresholds in essential spectra of elliptic operators under localized non‐Hermitian perturbations

Studies in applied mathematics (Cambridge), 2021-05, Vol.146 (4), p.834-880

2021

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On eigenvalues of a -symmetric operator in a thin layer

Sbornik. Mathematics, 2017-02, Vol.208 (2), p.173-199

2017

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Branched Hamiltonians for a Class of Velocity Dependent Potentials

Journal of physics. Conference series, 2017-05, Vol.839 (1), p.12011

2017

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The Horizons of Observability in PT-symmetric Four-site Quantum Lattices

Acta polytechnica (Prague, Czech Republic : 1992), 2011-01, Vol.51 (4)

Znojil, M.

2011

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Time-Dependent and/or Nonlocal Representations of Hilbert Spaces in Quantum Theory

Acta polytechnica (Prague, Czech Republic : 1992), 2010-01, Vol.50 (3)

Znojil, M.

2010

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Quantum toboggans: models exhibiting a multisheeted PT—symmetry

Journal of physics. Conference series, 2008-08, Vol.128 (1), p.012046

Znojil, M

2008

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Rectifiable PT -symmetric Quantum Toboggans with Two Branch Points

Acta polytechnica (Prague, Czech Republic : 1992), 2010-01, Vol.50 (5)

Znojil, M.

2010

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PT-symmetric Quantum Chain Models

Acta polytechnica (Prague, Czech Republic : 1992), 2007-01, Vol.47 (2-3)

Znojil, M.

2007

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P T -symmetric dynamical confinement: Fermi acceleration, quantum force, and Berry phase

Physical review. A, 2024-05, Vol.109 (5), Article 053519

2024

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Solvable PT-symmetric Hamiltonians

Physics of atomic nuclei, 2002-06, Vol.65 (6), p.1149-1151

Znojil, M.

2002

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Solvable PT-symmetric model with a tunable interspersion of nonmerging levels

Journal of mathematical physics, 2005-06, Vol.46 (6), p.062109.1-062109.18

ZNOJIL, Miloslav

2005

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On eigenvalues of a $ \mathscr{P\!T}$-symmetric operator in a thin layer

Sbornik. Mathematics, 2017-02, Vol.208 (2), p.173-199

2017

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Comment on: “Solution of the Dirac equation for the Woods–Saxon potential with spin and pseudospin symmetry” [Phys. Lett. A 338 (2005) 90]

Physics letters. A, 2006-02, Vol.350 (5), p.421-424

2006

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Smeared quantum lattices exhibiting -symmetry with positive

Fortschritte der Physik, 2013-02, Vol.61 (2-3), p.111-123

2013

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Smeared quantum lattices exhibiting ðoe'«ðoe' ̄-symmetry with positive ðoe'

Fortschritte der Physik, 2013-02, Vol.61 (2-3), p.111

2013

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PT -symmetric quantum toboggans

Physics letters. A, 2005-07, Vol.342 (1), p.36-47

Znojil, Miloslav

2005

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Fragile PT-symmetry in a solvable model

Journal of mathematical physics, 2004-11, Vol.45 (11), p.4418-4430

Znojil, Miloslav

2004

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Linear representation of energy-dependent Hamiltonians

Physics letters. A, 2004-05, Vol.326 (1), p.70-76

Znojil, Miloslav

2004

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

Physics letters. A, 2005-06, Vol.341 (1), p.67-80

Znojil, Miloslav

2005

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Singular anharmonicities and the analytic continued fractions

Journal of mathematical physics, 1989-01, Vol.30 (1), p.23-27

Znojil, M.

1989

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A Study of Non-Euclidean s-Topology

ISRN mathematical physics, 2012-07, Vol.2012, p.1-11

2012

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The Inviscid Limits to Piecewise Smooth Solutions for a General Parabolic System

ISRN mathematical physics, 2012-01, Vol.2012, p.1-30

2012

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On eigenvalues of a P T-symmetric operator in a thin layer

Sbornik. Mathematics, 2017-02, Vol.208 (2)

2017

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Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects

Non-Hermitian coupled cluster method for non-stationary systems and its interaction-picture reinterpretation

Bifurcations of thresholds in essential spectra of elliptic operators under localized non‐Hermitian perturbations

On eigenvalues of a -symmetric operator in a thin layer

Branched Hamiltonians for a Class of Velocity Dependent Potentials

The Horizons of Observability in PT-symmetric Four-site Quantum Lattices

Time-Dependent and/or Nonlocal Representations of Hilbert Spaces in Quantum Theory

Quantum toboggans: models exhibiting a multisheeted PT—symmetry

Rectifiable PT -symmetric Quantum Toboggans with Two Branch Points

PT-symmetric Quantum Chain Models

P T -symmetric dynamical confinement: Fermi acceleration, quantum force, and Berry phase

Solvable PT-symmetric Hamiltonians

Solvable PT-symmetric model with a tunable interspersion of nonmerging levels

On eigenvalues of a $ \mathscr{P\!T}$-symmetric operator in a thin layer

Comment on: “Solution of the Dirac equation for the Woods–Saxon potential with spin and pseudospin symmetry” [Phys. Lett. A 338 (2005) 90]

Smeared quantum lattices exhibiting -symmetry with positive

Smeared quantum lattices exhibiting ðoe'«ðoe' ̄-symmetry with positive ðoe'

PT -symmetric quantum toboggans

Fragile PT-symmetry in a solvable model

Linear representation of energy-dependent Hamiltonians

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

Singular anharmonicities and the analytic continued fractions

A Study of Non-Euclidean s-Topology

The Inviscid Limits to Piecewise Smooth Solutions for a General Parabolic System

On eigenvalues of a P T-symmetric operator in a thin layer

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