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Group Theoretical Foundations of Quantum Mechanics

Autor R. Mirman
en Limba Engleză Paperback
Quantum mechanics, its properties including wavefunctions, complex numbers and uncertainty, are necessary and completely reasonable and understandable, with no weirdness. Classical physics is impossible. Much uncertainty comes from Fourier analysis. Waves and particles and collapse of wavefunctions are meaningless. Their seeming appearance in analyzed. Reasons and limitations of superposition are considered. Gravitation is an example of nonlinearity. All objects interact so nonlinearity is universal. How quantum mechanics then fits in is shown. Dirac's equation comes from Poincare group. Physics is necessarily impossible in any space but that with dimension 3+1. Spin-statistics is a property of rotation groups.
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Specificații

ISBN-13: 9780595341252
ISBN-10: 059534125X
Pagini: 284
Dimensiuni: 152 x 229 x 16 mm
Greutate: 0.42 kg
Editura: iUniverse

Cuprins

Contents: Foundations; Why geometry, so physics, require complex numbers; Properties of state functions; The foundations of coherent superposition; geometry, transformations groups and observers; The Poincar group and its implications; The dimension of space; Bosons, fermions, spinors and orthogonal groups; The complete reasonableness of quantum mechanics; Terminology and conventions; The Einstein Podolsky Rosen paradox; Experimental meaning of the concept of identical particles; Nonexistence of superselection rules; Complex groups, quantum mechanics and the dimension and reality of space; The reality and dimension of space and the complexity of quantum mechanics.