| Springer Nature B.V.

71,480원  | 20220813  | 9783031051234

This book provides an introduction to deformation quantization and its relation to quantum field theory, with a focus on the constructions of Kontsevich and Cattaneo & Felder.? This subject originated from an attempt to understand the mathematical structure when passing from a commutative classical algebra of observables to a non-commutative quantum algebra of observables.

Andrei Tyurin  | American Mathematical Society

77,670원  | 20210101  | 9780821832400

Features ordinary (abelian) theta functions that describe properties of moduli spaces of one-dimensional vector bundles on algebraic curves. This book presents various aspects of the theory of non-abelian theta functions and the moduli spaces of vector bundles, including their applications to problems of quantization.

 | Scholars' Press

100,100원  | 20210227  | 9786138946861

A Lagrangian is said to be singular when det[ ∂2L∂q˙i∂q˙j] = 0, and that signifies the presence of constraint in the usual phase space [1, 2]. Constraint means velocity independent relation between coordinate and momentum[1, 2, 3, 4]. So all the velocities of the dynamical variables of a theory cannot be determined in terms of momenta and as a result the precise canonical quantization gets threatened when a system contains constraints in its phase space.