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  3. Path Integrals and Hamiltonians
  • Cited by 5
Publisher:
Cambridge University Press
Online publication date:
April 2014
Print publication year:
2014
Online ISBN:
9780511842450
DOI:
https://doi.org/10.1017/CBO9780511842450
Subjects:
Physics and Astronomy, Theoretical Physics and Mathematical Physics, Quantum Physics, Quantum Information and Quantum Computation
Information

Book description

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.

Reviews

'The book is well written, in a compact style, but not stinting on clear explanations … Path Integrals and Hamiltonians looks like a very useful book, and I, for one, am very happy to have a copy.'

Michael Berg Source: MAA Reviews

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Contents

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Contents

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References
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