The 1st law of thermodynamics for the mean energy of a closed quantum system in the Aharonov-Vaidman gauge

DOI10.3390/MATH3020428zbMath1318.81063OpenAlexW1548934202MaRDI QIDQ2352953

Allen D. Parks

Publication date: 7 July 2015

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math3020428

zbMATH Keywords

energy conservationgauge fieldgeometric phaseweak valuesgauge potentialprincipal fiber bundle1st law of thermodynamicsAharonov-Vaidman gaugeclosed quantum systemenergy uncertainty exchange

Mathematics Subject Classification ID

Equivariant fiber spaces and bundles in algebraic topology (55R91) Yang-Mills and other gauge theories in quantum field theory (81T13) Many-body theory; quantum Hall effect (81V70) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Statistical thermodynamics (82B30)

Cites Work

• Quantum thermometry
• Pointed weak energy and quantum state evolution in Pancharatnam–Fubini-Study configuration space
• Weak values and the Aharonov–Vaidman gauge
• Pointed weak energy and quantum geometric phase
• Time-dependent weak values and their intrinsic phases of evolution
• Observation and measurement of an optical Aharonov–Albert–Vaidman effect
• A weak energy stationary action principle for quantum state evolution

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