Angular Momentum Calculus in Quantum Physics
This book is concerned with the practical aspects of solving angular momentum problems. The novel but fully tested-out method (the Invariant Graph Method) allows one to write down from a single graph the complete final result of the problem. The drawing of the graph involves very few simple, essentially self-evident rules. Still it is a powerful tool to easily solve the most involved physical problems.The method is introduced step-by-step in a sequence of examples, beginning with the simplest matrix elements, and ending with the most general case of a reaction including angular distributions and correlations. The many-body and particle anti-particle systems are fully developed. All aspects: wave functions, vectors, operators, Fock space state vectors and operators, etc., are treated on the same footing. All concepts of angular momentum theory acquire a transparent meaning. Hence the book is valuable not only as a handbook in problem solving, but extremely so as an adjunct in any course on advanced qunatum physics, atomic, molecular, nuclear and particle physics.
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PHASES WAVE FUNCTIONS AND OPERATORS
TRANSITION PROBABILITIES AND ANGULAR DISTRIBUTIONS
Tables for recoupling coefficients with zeroes
algebraic expression amplitudes angular momentum annihilation operators antisymmetrized applied arising associated basic calculation CFP's Chapter coefficients complete components compute consider contain contraction contrastandard tensors corresponding coupling creation operators defined definition denoted density matrices described drawing end-boxes evaluate example expression factor final Fock space four give given graphical hermitian conjugation hole identical indices initial intermediate introduce invariant form Invariant Graph method invariant matrix element invariant triple product lines many-body means momenta multipole needed norm normalized notation Note obtain overlap particle particle-hole performed permutation phase convention physical polarization problem properly quantities quantum mechanics quantum numbers reaction recoupling relation representation represented respectively result selection rules shell side simple simplification single specify spinor summations symbol symmetrized tensors tilda transformation unit operator usual vacuum expectation value vector wave functions write written yields zero