Institute of Physics Publishing, Bristol and Philadelphia, 2001, pp 336.Preface Introduction Notational conventions Path integrals in classical theory Brownian motion: introduction to the concept of path integration Wiener path integrals and stochastic processes Path integrals in quantum mechanics Feynman path integrals Path integrals in the Hamiltonian formalism Quantization, the operator ordering problem and path integrals Path integrals and quantization in spaces with topological constraints Path integrals in curved spaces, spacetime transformations and the Coulomb problem Path integrals over anticommuting variables for fermions and generalizations Appendices General pattern of different ways of construction and applications of path integrals B: Proof of the inequality used for the study of the spectra of Hamiltonians 326 Proof of lemma 2.1 used to derive the Bohr–Sommerfeld quantization condition Tauberian theorem Bibliography Index
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Cambridge University Press, 2003. - 592 pages.
As leading experts in geometric algebra, Chris Doran and Anthony Lasenby have led many new developments in the field over the last ten years. This book provides an introduction to the subject, covering applications such as black hole physics and quantum computing. Suitable as a textbook for graduate courses on the physical...