The crypto-Hermitian smeared-coordinate representation of wave functions

DOI10.1016/J.PHYSLETA.2011.07.026zbMath1252.81063arXiv1107.1770OpenAlexW2047277405MaRDI QIDQ691867

Miloslav Znojil

Publication date: 4 December 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.1770

Mathematics Subject Classification ID

General mathematical topics and methods in quantum theory (81Q99) Discrete version of topics in analysis (39A12) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (2)

Multiply degenerate exceptional points and quantum phase transitions ⋮ Decays of degeneracies in \(\mathcal PT\)-symmetric ring-shaped lattices

Uses Software

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• MOLPRO
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Cites Work

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• Cryptohermitian Hamiltonians on graphs
• Energy-levels crossing and radial Dirac equation: Supersymmetry and quasi-parity spectral signatures
• Three-Hilbert-space formulation of quantum mechanics
• Quasi-Hermitian operators in quantum mechanics and the variational principle
• NIST digital library of mathematical functions
• PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
• Cryptogauge symmetry and cryptoghosts for crypto-Hermitian Hamiltonians
• A quick perturbative method for Schrödinger equations
• Equivalence of unstable anharmonic oscillators and double wells
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries

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