Description: Please refer to the section BELOW (and NOT ABOVE) this line for the product details - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Title:Geometry, Topology And QuantizationISBN13:9789401062824ISBN10:940106282XAuthor:Bandyopadhyay, P. (Author)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 Binding:Paperback, PaperbackPublisher:SPRINGER PGPublication Date:2012-11-22Weight:0.76 lbsDimensions:0.51'' H x 9.21'' L x 6.14'' WNumber of Pages:230Language:English
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Author: Bandyopadhyay, P. (Author)
Book Title: Geometry, Topology And Quantization
Language: English
Format: Paperback
Publisher: Springer
Publication Year: 2012
Item Weight: 0.76 lbs
