Quantum Mechanics: Genesis and Achievements

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Springer Science & Business Media, Oct 24, 2012 - Science - 286 pages
The focus of the present work is nonrelativistic and relativistic quantum mechanics with standard applications to the hydrogen atom. The author has aimed at presenting quantum mechanics in a comprehensive yet accessible for mathematicians and other non-physicists. The genesis of quantum mechanics, its applications to basic quantum phenomena, and detailed explanations of the corresponding mathematical methods are presented. The exposition is formalized (whenever possible) on the basis of the coupled Schroedinger, Dirac and Maxwell equations. Aimed at upper graduate and graduate students in mathematical and physical science studies.
 

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Contents

Genesis of Quantum Mechanics
1
Heisenbergs Matrix Mechanics
25
Schrödingers Wave Mechanics
35
Lagrangian Formalism
57
WaveParticle Duality
67
The Eigenvalue Problem
79
Atom Radiation
93
Scattering of Light and Particles
117
Electron Spin and Pauli Equation
151
Relativistic Quantum Mechanics
165
Electrodynamics and Special Relativity
195
Mathematical Appendices
233
Exercises
257
Bibliography
275
Index
283
Copyright

Atom in Magnetic Field
145

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