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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 12$aA Mathematical Journey to Quantum Mechanics /$fby Salvatore Capozziello, Wladimir-Georges Boskoff
205   $a1st ed. 2021.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021.
215   $a1 online resource (294 pages)
225 1 $aUNITEXT for Physics,$x2198-7890
311 08$a3-030-86097-3 
320   $aIncludes bibliographical references and index.
327   $aIntroduction: How to read this book -- Newtonian, Lagrangian and Hamiltonian Mechanics -- Can Light be described by Classical Mechanics? -- Why Quantum Mechanics? -- The Schrödinger Equations and Their Consequences -- The Mathematics behind the Harmonic Oscillator -- From Monochromatic Plane Waves to Wave Packets -- The Heisenberg Uncertainty Principle and the Mathematics behind -- The Principles of Quantum Mechanics -- Consequences of Quantum Mechanics Principles -- Quantum Mechanics at the Next Level -- Conclusions.
330   $aThis book provides an itinerary to quantum mechanics taking into account the basic mathematics to formulate it. Specifically, it features the main experiments and postulates of quantum mechanics pointing out their mathematical prominent aspects showing how physical concepts and mathematical tools are deeply intertwined. The material covers topics such as analytic mechanics in Newtonian, Lagrangian, and Hamiltonian formulations, theory of light as formulated in special relativity, and then why quantum mechanics is necessary to explain experiments like the double-split, atomic spectra, and photoelectric effect. The Schrödinger equation and its solutions are developed in detail. It is pointed out that, starting from the concept of the harmonic oscillator, it is possible to develop advanced quantum mechanics. Furthermore, the mathematics behind the Heisenberg uncertainty principle is constructed towards advanced quantum mechanical principles. Relativistic quantum mechanics is finally considered. The book is devoted to undergraduate students from University courses of Physics, Mathematics, Chemistry, and Engineering. It consists of 50 self-contained lectures, and any statement and theorem are demonstrated in detail. It is the companion book of "A Mathematical Journey to Relativity", by the same Authors, published by Springer in 2020.
410  0$aUNITEXT for Physics,$x2198-7890
606   $aQuantum theory
606   $aAtomic structure
606   $aMolecular structure
606   $aMathematical physics
606   $aFunctional analysis
606   $aQuantum Physics
606   $aAtomic and Molecular Structure and Properties
606   $aTheoretical, Mathematical and Computational Physics
606   $aFunctional Analysis
615  0$aQuantum theory.
615  0$aAtomic structure.
615  0$aMolecular structure.
615  0$aMathematical physics.
615  0$aFunctional analysis.
615 14$aQuantum Physics.
615 24$aAtomic and Molecular Structure and Properties.
615 24$aTheoretical, Mathematical and Computational Physics.
615 24$aFunctional Analysis.
676   $a530.12
700   $aCapozziello$b Salvatore$053560
702   $aBoskoff$b Wladimir-Georges$f1958-
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910503008003321
996   $aA mathematical journey to quantum mechanics$92886953
997   $aUNINA