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008 240724s2019 xx o ||||0 eng d
020 _a9781681084497
_q(electronic bk.)
020 _z9781681084503
035 _a(MiAaPQ)EBC6011034
035 _a(Au-PeEL)EBL6011034
035 _a(OCoLC)1136968538
040 _aMiAaPQ
_beng
_erda
_epn
_cMiAaPQ
_dMiAaPQ
050 4 _aQC174.12 .E534 2019
082 0 _a530.12
100 1 _aEnders, Peter.
245 1 0 _aClassical Mechanics and Quantum Mechanics :
_ban Historic-Axiomatic Approach.
250 _a1st ed.
264 1 _aUAE :
_bBentham Science Publishers,
_c2019.
264 4 _c©2019.
300 _a1 online resource (380 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
505 0 _aCover -- Title -- Copyright -- End User License Agreement -- Dedication -- Contents -- Foreword -- Preface -- Introduction -- Newton-Eulerian Axiomatic: The Notion of State -- Alternative Axiomatic: Energy Conservation -- Possible and Impossible (Momentum) Configurations -- Why Quantum Mechanics? -- A Hierarchy of Selection Problems -- Non-Classical Representations of Potential, Kinetic and Total Energies -- Conservation of Stationary Quantum States Stationary Schrödinger Equation -- Non-Classical Selection of the Physical Solutions -- Additional Results -- Conservation and Change of Stationary States -- Equation of Motion -- Conservation Laws -- Applications -- General Considerations -- Space-time Symmetries -- Gauge Symmetry -- Permutation Symmetry -- 'Aequat Causa Effectum' Spherically Symmetric Potentials versus Non-spherically Symmetric Orbits and Orbitals -- Introduction -- Coupled Classical Oscillators -- From Chains to Strings: Limit Transition to the Continuum -- Quantization of the String -- Quantization of the Free Electromagnetic Field -- Summary and Conclusions -- Open Questions - Suggestions -- Points of Extension or Generalization -- REFERENCES AND FURTHER READING -- Back Cover.
520 _aThis unique textbook presents a novel, axiomatic pedagogical path from classical to quantum physics. Readers are introduced to the description of classical mechanics, which rests on Euler's and Helmholtz's rather than Newton's or Hamilton's representations. Special attention is given to the common attributes rather than to the differences between classical and quantum mechanics. Readers will also learn about Schrödinger's forgotten demands on quantization, his equation, Einstein's idea of 'quantization as selection problem'. The Schrödinger equation is derived without any assumptions about the nature of quantum systems, such as interference and superposition, or the existence of a quantum of action, h. The use of the classical expressions for the potential and kinetic energies within quantum physics is justified. Key features:Presents extensive reference to original texts. Includes many details that do not enter contemporary representations of classical mechanics, although these details are essential for understanding quantum physics.Contains a simple level of mathematics which is seldom higher than that of the common (Riemannian) integral. Brings information about important scientistsCarefully introduces basic equations, notations and quantities in simple steps This book addresses the needs of physics students, teachers and historians with its simple easy to understand presentation and comprehensive approach to both classical and quantum mechanics.
588 _aDescription based on publisher supplied metadata and other sources.
590 _aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 0 _aQuantum theory.
655 4 _aElectronic books.
776 0 8 _iPrint version:
_aEnders, Peter
_tClassical Mechanics and Quantum Mechanics: an Historic-Axiomatic Approach
_dUAE : Bentham Science Publishers,c2019
_z9781681084503
797 2 _aProQuest (Firm)
856 4 0 _uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=6011034
_zClick to View
999 _c15580
_d15580