The Born rule and time-reversal symmetry of quantum equations of motion

DOI10.1007/s10701-016-0006-yzbMath1380.81025arXiv1505.03670OpenAlexW2211694974MaRDI QIDQ1689802

Aleksey V. Ilyin

Publication date: 17 January 2018

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

Full work available at URL: https://arxiv.org/abs/1505.03670

zbMATH Keywords

foundations of quantum mechanicstime-reversal symmetrythe Born rule

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Cites Work

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• The Born rule from a consistency requirement on hidden measurements in complex Hilbert space
• Decoherence, einselection, and the quantum origins of the classical
• Probabilities from entanglement, Born’s rule<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mrow><mml:mo>∣</mml:mo><mml:msub><mml:mi>ψ</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>∣</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math>from envariance
• Quantum theory of probability and decisions

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