عنوان

Geometry Of Time-Spaces :

شابک

1283234998

شابک

9781283234993

شابک

9789814343350

شابک

9814343358

شماره

b538437

عنوان اصلي

Geometry Of Time-Spaces :

نام عام مواد

[Book]

ساير اطلاعات عنواني

Non-Commutative Algebraic Geometry, Applied To Quantum Theory.

نام نخستين پديدآور

Laudal Olav Arnfinn.

نام ناشر، پخش کننده و غيره

WSPC

تاریخ نشرو بخش و غیره

2011

متن يادداشت

Preface; Contents; 1. Introduction; 1.1 Philosophy; 1.2 Phase Spaces, and the Dirac Derivation; 1.3 Non-commutative Algebraic Geometry, andModuli of Simple Modules; 1.4 Dynamical Structures; 1.5 Quantum Fields and Dynamics; 1.6 Classical Quantum Theory; 1.7 Planck's Constants, and Fock Space; 1.8 General Quantum Fields, Lagrangians and Actions; 1.9 Grand Picture. Bosons, Fermions, and Supersymmetry; 1.10 Connections and the Generic Dynamical Structure; 1.11 Clocks and Classical Dynamics; 1.12 Time-Space and Space-Times; 1.13 Cosmology, Big Bang and All That. 1.14 Interaction and Non-commutative Algebraic Geometry1.15 Apology; 2. Phase Spaces and the Dirac Derivation; 2.1 Phase Spaces; 2.2 The Dirac Derivation; 3. Non-commutative Deformations and the Structure of the Moduli Space of Simple Representations; 3.1 Non-commutative Deformations; 3.2 The O-construction; 3.3 Iterated Extensions; 3.4 Non-commutative Schemes; 3.4.1 Localization, Topology and the Scheme Structure on Simp(A); 3.4.2 Completions of Simpn(A); 3.5 Morphisms, Hilbert Schemes, Fields and Strings; 4. Geometry of Time-spaces and the General Dynamical Law; 4.1 Dynamical Structures. 4.2 Quantum Fields and Dynamics4.3 Classical Quantum Theory; 4.4 Planck's Constant(s) and Fock Space; 4.5 General Quantum Fields, Lagrangians and Actions; 4.6 Grand Picture: Bosons, Fermions, and Supersymmetry; 4.7 Connections and the Generic Dynamical Structure; 4.8 Clocks and Classical Dynamics; 4.9 Time-space and Space-times; 4.10 Cosmology, Big Bang and All That; 5. Interaction and Non-commutative Algebraic Geometry; 5.1 Interactions; 5.2 Examples and Some Ideas; Bibliography; Index.

متن يادداشت

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 o.

موضوع مستند نشده

Geometry, Algebraic.

موضوع مستند نشده

Noncommutative differential geometry.

موضوع مستند نشده

Quantum theory.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Laudal Olav Arnfinn.

مستند نام اشخاص تاييد نشده

Laudal Olav Arnfinn.

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y