Quantum Mechanics: Principles, New Perspectives, Extensions and Interpretation (with DVD)

Olavo Leopoldino da Silva Filho
Universidade de Brasília, Instituto de Física, Núcleo de Física Estatística e Física Matemática, Campus Universitário Darcy Ribeiro, Brazil

Series: Physics Research and Technology
BISAC: SCI057000




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The interpretation of Quantum Mechanics has been the source of an intense debate since its earlier years of existence. The present book takes a different path to disclosure of a complete and self-contained interpretation of Quantum Mechanics. Beginning from its mathematical foundations, from which the Schrödinger equation is mathematically derived in six different but complementary ways, the book is capable of constructing an interpretation that follows closely the formalism of the theory, thus avoiding each and every weird construct of the other proposals, such as the “reduction of the wave packet”, the Copenhagen Interpretation, “non-locality and wholeness”, Hidden Variable theories, the Relative State Interpretation, and many other concepts that render Quantum Mechanics its (much infamous but also glorified) fame of a hermetic theory when it comes to its interpretation.

Each derivation of the Schrödinger equation is shown equivalent to the others in precise mathematical terms, while these mathematical developments are kept at a level comprehensive for any graduate student in Physics, Chemistry or Mathematics. It allows the reader to understand how the constructs involved in one derivation compose with the constructs of all the other derivations to bring about a lively image of the interpretation of the theory. Many simulations are presented such that the reader can see what is going on within any quantum mechanical phenomenon. The interpretation that comes from the developments of the book is extremely simple, consistent with all the mathematical elements of the theory and profits from the best insights of each one of the other interpretations already mentioned. With an incredible small set of axioms and constructs, this book interpretation of Quantum Mechanics makes the theory fully comprehensive, removing from it all its usually assumed weirdness. This book is an important reference to those that still believe that a physical theory (any physical theory) should always be devoid of unintelligible elements. (Imprint: Nova)

List of Tables

List of Figures


Part I. Principles

Chapter 1 - Historical Background - XIXth Century and Beyond (pp. 3-32)

Chapter 2 - The Characteristic Function Derivation (pp. 33-64)

Chapter 3 - The Entropy Derivation (pp. 65-92)

Chapter 4 - The Stochastic Derivation (pp. 93-124)

Chapter 5 - Quantum Mechanics and the Central Limit Theorem (pp. 125-150)

Chapter 6 - Langevin Equations for Quantum Mechanics (pp. 151-192)

Part II. New Perspectives

Chapter 7 - Classical Representation of the Spin (pp. 195-222)

Chapter 8 - Operator Formation and Phase Space Distributions (pp. 223-252)

Chapter 9 - On Reality, Locality and Bell’s Inequalities (pp. 253-268)

Chapter 10 - Indistinguishability (pp. 269-278)

Part III. Relativistic Extension

Chapter 11 - Special and General Relativistic Quantum Mechanics (pp. 281-312)

Part IV. Interpretation

Chapter 12 - The Interpretation of Quantum Mechanics (pp. 315-348)



"Rather than ordinary axiomatic approach, this textbook proves 52 theorems and 12 corollaries, and thus establishes the quantum mechanics upon demonstrations. Based on the proved theorem of watershed between classical and quantum physics, this textbook solves with confidence the contradiction between quantum mechanics and general theory of relativity. This contradiction is thought as a 21 century difficult problem in physics." READ MORE... - Chongyu Wang, Department of Physics, Tsinghua University, Member of the Chinese Academy of Sciences

"I think that "Quantum Mechanics upon Theorem" makes quantum mechanics at the first time to go from postulates to demonstrations. Although the history of quantum physics is more than 100 years, it is a big regret that until now all its basic concepts and pictures, such as uncertainty relation, wave-particle duality, operator representation, still stop at stage of postulates, and thus the basis of quantum mechanics is not very firm." READ MORE... - Wei-xin Zhang, Professor, Academician of Chinese Engineering Academy

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