Geometry, Topology and Quantization (Mathematics and Its Applications, 386) free ebook download.

Home : Book details

Geometry, Topology and Quantization (Mathematics and Its Applications, 386) free ebook download

Category:
Mathematics

Views: 128
Likes: 7

Catalogue

Author(s):	P. Bandyopadhyay

Date:	2024	Format:	pdf	Language:	English	ISBN/ASIN:	0792343050
Pages:	240	OCR:		Quality:		ISBN13:
Uploader:	stirkout	Upload Date:	10/28/2023 3:42:28 AM

To download click on link in the Links Table below

Description: Click to see full description

This is a monograph on geometrical and topological features which arise in various quantization procedures. Quantization schemes consider the feasibility of arriving at a quantum system from a classical one and these involve three major procedures viz. i) geometric quantization, ii) Klauder quantization, and iii) stochastic quanti zation. In geometric quantization we have to incorporate a hermitian line bundle to effectively generate the quantum Hamiltonian operator from a classical Hamil tonian. Klauder quantization also takes into account the role of the connection one-form along with coordinate independence. In stochastic quantization as pro posed by Nelson, Schrodinger equation is derived from Brownian motion processes  however, we have difficulty in its relativistic generalization. It has been pointed out by several authors that this may be circumvented by formulating a new geometry where Brownian motion proceses are considered in external as well as in internal space and, when the complexified space-time is considered, the usual path integral formulation is achieved. When this internal space variable is considered as a direc tion vector introducing an anisotropy in the internal space, we have the quantization of a Fermi field. This helps us to formulate a stochastic phase space formalism when the internal extension can be treated as a gauge theoretic extension. This suggests that massive fermions may be considered as Skyrme solitons. The nonrelativistic quantum mechanics is achieved in the sharp point limit.
Read more

Links Table

	Title	Link	Password	Size (MB)	Thank to	Inform Admin
3207997	Book	https://nitroflare.com/view/1E691AB0CB9E...		0.00	stirkout

Tags: Applications Geometry Mathematics Quantization Topology

Title	Link	Password	Size	Reason

Those who downloaded this book also downloaded the following books:
Comments

New comment: