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An Introduction to Noncommutative Physics
Physics, 2023 Noncommutativity in physics has a long history, tracing back to classical mechanics. In recent years, many new developments in theoretical physics, and in practical applications rely on different techniques of noncommutative algebras.
Shi-Dong Liang, Matthew J. Lake
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Causality, symmetries and quantum mechanics [PDF]
Foundations of Physics Letters, 2002 It is argued that there is no evidence for causality as a metaphysical relation in quantum phenomena. The assumption that there are no causal laws, but only probabilities for physical processes constrained by symmetries, leads naturally to quantum mechanics.
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Gibbsing spacetime: a group field theory approach to equilibrium in quantum gravity
New Journal of Physics, 2018 The symmetries, subtle nature of observables, and lack of a preferred notion of time evolution all make defining a quantum statistical mechanics of general relativity difficult.
Hal M Haggard
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Simple applications of Noether's first theorem in quantum mechanics and electromagnetism [PDF]
, 2003 Internal global symmetries exist for the free non-relativistic Schrodinger particle, whose associated Noether charges---the space integrals of the wavefunction and the wavefunction multiplied by the spatial coordinate---are exhibited.
Holland, Peter +3 more
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Properties and Dispositions: some Metaphysical Remarks on Quantum Ontology [PDF]
, 2006 After some suggestions about how to clarify the confused metaphysical distinctions between dispositional and non-dispositional or categorical properties, I review some of the main interpretations of QM in order to show that – with the relevant exception ...
Mauro Dorato, Dorato, Mauro
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Special Issue: “Symmetries in Quantum Mechanics” [PDF]
Symmetry, 2021 This Special Issue “Symmetries in Quantum Mechanics” describes research using two of the most fundamental probes we have in nature [...]
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Intimate Connections: Symmetries and Conservation Laws in Quantum versus Classical Mechanics [PDF]
, 2017 In this article, I use a number of remarks made by Eugene Wigner to defend the claim that the nature of the connection between symmetries and conservation laws is different in quantum and in classical mechanics.
Pablo Ruiz de Olano +2 more
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Aspects of phase-space noncommutative quantum mechanics
Physics Letters B, 2015 In this work some issues in the context of Noncommutative Quantum Mechanics (NCQM) are addressed. The main focus is on finding whether symmetries present in Quantum Mechanics still hold in the phase-space noncommutative version. In particular, the issues
O. Bertolami, P. Leal
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Discerning "indistinguishable" quantum systems [PDF]
, 2012 In a series of recent papers, Simon Saunders, Fred Muller and Michael Seevinck have collectively argued, against the folklore, that some non-trivial version of Leibniz's principle of the identity of indiscernibles is upheld in quantum mechanics.
Caulton, Adam
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Quantum Information in Geometric Quantum Mechanics [PDF]
, 2011 A fundamental starting point in quantum information theory is the consideration of the von Neumann entropy and its generalization to relative quantum entropies.
Volkert, Georg Friedrich
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