Angular Momentum Calculus In Quantum PhysicsWorld Scientific, 1990/09/28 - 176 ページ 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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2-particle amplitudes angular distribution angular momentum zero annihilation operators basic phase convention basic recoupling CFP's components compute contraction contrastandard tensors coupling scheme creation operators defined definition denoted density matrices Dirac spinor elementary invariant matrix end-boxes evaluate example factor fermions final algebraic final algebraic expression Fock operators Fock space given in Chapter graphical representation hermitian conjugation initial intentionally left blank introduce invariant form Invariant Graph method invariant matrix element invariant triple product left blank Chapter many-body norm normal product notation obtain one-body orthonormal particle indices particle-hole representation permutation polarization properly phased quantities quantum numbers reaction recoupling box Recoupling coefficients recoupling graph recoupling transformations represented result scalar operator scalar product selection rules shell simplification spin spin-orbit spinor summations symmetrized antisymmetrized tilda line total angular momentum transpose operation two-body two-particle unit operator unit vectors vacuum expectation value wave functions Wigner Wigner-Eckart theorem write yields zero angular momentum