Toward non-Hermitian quantum statistical thermodynamics

DOI10.1063/1.5122182zbMath1439.81096arXiv1907.13221OpenAlexW3098209716MaRDI QIDQ5110737

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Publication date: 22 May 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.13221

zbMATH Keywords

Hilbert spacefree energystatistical thermodynamicsthermodynamic systemsequilibrium thermodynamicsGibbs statesmathematical optimizationlaws of thermodynamicsquantum mechanical entropydensity-matrix

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Statistical thermodynamics (82B30) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06) Quantum entropies (81P17)

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Gibbs states, algebraic dynamics and generalized Riesz systems ⋮ A quantum system with a non-Hermitian Hamiltonian

Cites Work

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• The EMM and the Spectral Analysis of a Non Self-adjoint Hamiltonian on an Infinite Dimensional Hilbert Space
• Non-Hermitian Quantum Mechanics of Bosonic Operators
• Information topologies on non-commutative state spaces
• Density Matrices Arising from Incomplete Measurements

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