Titlebook: Some Unusual Topics in Quantum Mechanics; Pankaj Sharan Book 20201st edition The Author(s), under exclusive license to Springer Nature Swi

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https://doi.org/10.1007/978-3-030-60418-9Lorentz transformations; base manifold and Hilbert space; space translation operators; path integral; no

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Position Operators of Non-relativistic Quantum Mechanics,The components of the position operator of a particle in non-relativistic quantum mechanics are the non-relativistic limits of generators of the pure Lorentz transformations, or the ‘boost operators’. The non-relativistic limit of the relativistic Poincare group is the Galilean group, which reveals interesting complications.

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背景

,Proof of Wigner’s Theorem,Wigner’s theorem which relates a unitary or anti-unitary operator to a symmetry transformation is proved following V. Bargmann’s version of the proof.

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Pankaj SharanOffers a fresh look at quantum mechanics.Addresses topics that are fundamental to a deeper understanding of quantum mechanics.Includes a chapter elucidating the proof of Wigner’s theorem

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The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

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Some Unusual Topics in Quantum Mechanics978-3-030-60418-9Series ISSN 2191-5423 Series E-ISSN 2191-5431

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