The Theory of Groups and Quantum Mechanics
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Numar articol:205632823
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Preț:125,00 Lei
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Anuntul a expirat la:12.01.2023, 11:36
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Specificatii
This book is devoted to the consistent and systematic application
of group theory to quantum mechanics. Beginning with a detailed
introduction to the classical theory of groups, Dr. Weyl continues
with an account of the fundamental results of quantum physics.
There follows a rigorous investigation of the relations holding
between the mathematical and physical theories.Topics covered
include: unitary geometry, quantum theory (Schrodinger's wave
equation, transition probabilities, directional quantization,
collision phenomena, Zeeman and Stark effects); groups and their
representations (sub-groups and conjugate classes, linear
transformations, rotation and Lorentz groups, closed continuous
groups, invariants and covariants, Lie's theory); applications of
group theory to quantum mechanics (simple state and term analysis,
the spinning electron, multiplet structure, energy and momentum,
Pauli exclusion principle, problem of several bodies, Maxwell-Dirac
field equations, etc.); the symmetric permutation group; and
algebra of symmetric transformation (invariant sub-spaces in group
and tensor space, sub-groups, Young's symmetry operators, spin and
valence, group theoretic classification of atomic spectra,
branching laws, etc).Throughout, Dr. Weyl emphasizes the
reciprocity between representations of the symmetric permutation
group and those of the complete linear group. His simplified
treatment of reciprocity, the Clebsch-Gordan series, and the
Jordan-Holder theorem and its analogues, has helped to clarity
these and other complex topics.
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