Publication:
Path integrals and Hamiltonians : principles and methods
Abstract
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 Schrodinger 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.
Keywords
Differential operators , Differential equations , Hamiltonian operators , Path integrals
Citation
Baaquie, Belal E. (2014). Path integrals and Hamiltonians: principles and methods. Cambridge, United Kingdom: Cambridge University Press.
Publisher
Cambridge University Press
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