Symbol Correspondences for Spin Systems by Pedro de M. Rios,Eldar Straume

By Pedro de M. Rios,Eldar Straume

In mathematical physics, the correspondence among quantum and classical mechanics is a important subject, which this e-book explores in additional aspect within the specific context of spin platforms, that's, SU(2)-symmetric mechanical structures. an in depth presentation of quantum spin-j platforms, with emphasis at the SO(3)-invariant decomposition in their operator algebras, is first by way of an advent to the Poisson algebra of the classical spin procedure after which via a equally targeted exam of its SO(3)-invariant decomposition. The e-book subsequent proceeds with a close and systematic research of normal quantum-classical image correspondences for spin-j structures and their brought on twisted items of capabilities at the 2-sphere. This unique systematic presentation culminates with the examine of twisted items within the asymptotic restrict of excessive spin numbers. within the context of spin platforms it indicates how classical mechanics could or won't become an asymptotic restrict of quantum mechanics. The ebook could be a invaluable consultant for researchers during this box and its self-contained procedure additionally makes it a useful source for graduate scholars in arithmetic and physics.

Show description

Read Online or Download Symbol Correspondences for Spin Systems PDF

Best group theory books

Lie Groups and Lie Algebras for Physicists

The publication is meant for graduate scholars of theoretical physics (with a history in quantum mechanics) in addition to researchers attracted to functions of Lie workforce conception and Lie algebras in physics. The emphasis is at the inter-relations of illustration theories of Lie teams and the corresponding Lie algebras.

Finite Fields (Encyclopedia of Mathematics and its Applications)

The idea of finite fields is a department of algebra that has come to the fore as a result of its different purposes in such parts as combinatorics, coding idea and the mathematical examine of switching ciruits. This ebook is dedicated totally to the speculation of finite fields, and it offers entire assurance of the literature.

Stable Groups (London Mathematical Society Lecture Note Series)

The learn of solid teams connects version idea, algebraic geometry and team concept. It analyses teams which own a definite very normal dependence relation (Shelah's proposal of 'forking'), and attempts to derive structural homes from this. those might be group-theoretic (nilpotency or solubility of a given group), algebro-geometric (identification of a gaggle as an algebraic group), or model-theoretic (description of the definable sets).

Whitehead Groups of Finite Groups (London Mathematical Society Lecture Note Series)

This book's target is to make available recommendations for learning Whitehead teams of finite teams, in addition to numerous comparable subject matters reminiscent of induction idea and p-adic logarithms. the writer has incorporated a long advent to set the scene for non-specialists who wish an summary of the sphere, its background and its functions.

Extra info for Symbol Correspondences for Spin Systems

Example text

Download PDF sample

Rated 4.19 of 5 – based on 49 votes