Quantization of Big Bang in Crypto-Hermitian Heisenberg Picture

DOI10.1007/978-3-319-31356-6_26zbMath1402.83125arXiv1511.07610OpenAlexW2181040139MaRDI QIDQ4555443

Miloslav Znojil

Publication date: 20 November 2018

Published in: Springer Proceedings in Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.07610

zbMATH Keywords

Hilbert spaceunitary evolutionHeisenberg picturequantum phase transitionexceptional point

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (5)

Hermitian-non-Hermitian interfaces in quantum theory ⋮ Non-Hermitian interaction representation and its use in relativistic quantum mechanics ⋮ Non-stationary quantum mechanics in hybrid non-Hermitian interaction representation ⋮ Third-order exponential integrator for linear Klein–Gordon equations with time and space-dependent mass ⋮ Asymptotic numerical solver for the linear Klein-Gordon equation with space- and time-dependent mass

Cites Work

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• On the gravitization of quantum mechanics. II: Conformal cyclic cosmology
• Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions
• Multiply degenerate exceptional points and quantum phase transitions
• Quasi-Hermitian operators in quantum mechanics and the variational principle
• Non-Hermitian Heisenberg representation
• Smeared quantum lattices exhibiting 𝒫𝒯-symmetry with positive 𝒫
• Metric operators, generalized hermiticity and lattices of Hilbert lpaces
• Non-Selfadjoint Operators in Quantum Physics
• Quantum nature of the big bang: Improved dynamics
• Turning big bang into big bounce: II. Quantum dynamics
• PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
• General Theory of Spin-Wave Interactions
• Cryptogauge symmetry and cryptoghosts for crypto-Hermitian Hamiltonians
• 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
• Physical Foundations of Cosmology
• Modern Canonical Quantum General Relativity
• Quantum Gravity

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