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Path Integrals and Hamiltonians Principles and Methods 1st Edition by Belal Baaquie ISBN 9781107009790 1107009790

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Path Integrals and Hamiltonians Principles and Methods Baaquie B.E. Digital Instant Download

Author(s): Baaquie B.E.
ISBN(s): 9781107009790, 1107009790
Edition: draft
File Details: PDF, 1.74 MB
Year: 2014
Language: english
SKU: EB-4679706 Category: Tag:

Path Integrals and Hamiltonians Principles and Methods 1st Edition by  Belal E. Baaquie- Ebook PDF Instant Download/Delivery:  9781107009790, 1107009790
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Product details: 

ISBN 10:  1107009790

ISBN 13: 9781107009790

Author:  Belal E. Baaquie

Providing a pedagogical introduction to the essential principles of path integrals and Hamiltonians, this book describes cutting-edge quantum mathematical techniques applicable to a vast range of fields, from quantum mechanics, solid state physics, statistical mechanics, quantum field theory, and superstring theory to financial modeling, polymers, biology, chemistry, and quantum finance. Eschewing use of the Schrödinger equation, the powerful and flexible combination of Hamiltonian operators and path integrals is used to study a range of different quantum and classical random systems, succinctly demonstrating the interplay between a system’s path integral, state space, and Hamiltonian. With a practical emphasis on the methodological and mathematical aspects of each derivation, this is a perfect introduction to these versatile mathematical methods, suitable for researchers and graduate students in physics and engineering.

Table of contents: 

1 Synopsis
2 The mathematical structure of quantum mechanics
3 Operators
4 The Feynman path integral
5 Hamiltonian mechanics
6 Path integral quantization
7 Stochastic systems
8 Ising model
9 Ising model: magnetic field
10 Fermions
11 Simple harmonic oscillators
12 Gaussian path integrals
13 Acceleration Lagrangian
14 Pseudo-Hermitian Euclidean Hamiltonian
15 Non-Hermitian Hamiltonian: Jordan blocks
16 The quartic potential: instantons
17 Compact degrees of freedom
18 Index

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Tags: Belal Baaquie, Path Integrals, Hamiltonians Principles