Development of Quantum Theory from Physical Principles-Quantum Mechanics Without Waves
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Book develops the equations of quantum mechanics from two principles:
(1) A general statement of the Uncertainty Principle that recognizes the existence in nature of pairs of incompatible observables, the simultaneous values of which have irreducible intrinsic uncertainties, the product of which is constrained by a fundamental constant of nature, Planck’s constant.
(2) The Invariance Principle, which requires that the equations (laws) of physics have the same form in all physically equivalent coordinate frames.
The latter principle is used to uniquely derive all the known specific uncertainty relations from the general uncertainty principle as shown in author’s paper
"A Formulation of Quantum Theory Based on Two Physical Principles" R.T. Deck, Journal of Modern Physics, January 2015. (Also online in SciRes. at http://www.scrip.org/journal/jmp, http://dx.doi.org/10.4236/jmp.2014.)
(Copy of paper will be sent on request.)
In addition Book provides an explanation of the Spin-Statistics Theorem.
Additional unique features are stated in the Overview of the Book sent as an attachment.
Robert T. Deck, received his PhD in theoretical physics from the University of Notre Dame with a specialty in quantum electrodynamics and particle physics. He then held a postdoctoral position at the University of Michigan before assuming a faculty position at the University of Toledo. There, his lectures in a variety of theory courses including all levels of Quantum Mechanics earned him an outstanding teaching award. He is currently an emeritus professor of physics at Toledo where he works in the areas of optics and photonics. The present book is a testament to his career long interest in the foundations of Quantum Mechanics.
Chapter 1 Principle of Uncertainty
Chapter 2 Principle of Invariance
Chapter 3 Detailed Formulation of Invariance Principle
Chapter 4 Applications of Principles to Description ofInteractions(Non-relativistic Theory)
Chapter 5 Application of Principles to Derivation of Relativistic Equation of Motion
Chapter 6 Applications of Equation of Motion and Related Hamiltonian
Chapter 7 Principle of Identical Particle Indistinguishability