Geometry of time-spaces : non-commutative algebraic geometry, applied to quantum theory
著者
書誌事項
Geometry of time-spaces : non-commutative algebraic geometry, applied to quantum theory
World Scientific, c2011
大学図書館所蔵 件 / 全18件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. 137-139) and index
内容説明・目次
内容説明
This is a monograph about non-commutative algebraic geometry, and its application to physics. The main mathematical inputs are the non-commutative deformation theory, moduli theory of representations of associative algebras, a new non-commutative theory of phase spaces, and its canonical Dirac derivation. The book starts with a new definition of time, relative to which the set of mathematical velocities form a compact set, implying special and general relativity. With this model in mind, a general Quantum Theory is developed and shown to fit with the classical theory. In particular the "toy"-model used as example, contains, as part of the structure, the classical gauge groups u(1), su(2) and su(3), and therefore also the theory of spin and quarks, etc.
目次
- Introduction
- Phase Spaces and the Dirac Derivation
- Non-Commutative Deformations and the Structure of the Moduli Space of Simple Representations
- Geometry of Time-Spaces and the General Dynamical Law
- Interaction, Decoherence and Decay.
「Nielsen BookData」 より