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ISBN10: 3540878505, ISBN13: 9783540878506, [publisher: Springer, Berlin, Springer Berlin Heidelberg, Springer] Softcover Druck auf Anfrage Neuware - Printed after ordering - In this book, we discuss the path integral quantization and the stochastic quantization of classical mechanics and classical field theory. Forthe description ofthe classical theory, we have two methods, one based on the Lagrangian formalism and the other based on the Hamiltonian formal ism. The Hamiltonian formalism is derived from the Lagrangian formalism. In the standard formalism ofquantum mechanics, we usually make use ofthe Hamiltonian formalism. This fact originates from the following circumstance which dates back to the birth of quantum mechanics. The first formalism ofquantum mechanics is Schrodinger's wave mechan ics. In this approach, we regard the Hamilton-Jacobi equation of analytical mechanics as the Eikonal equation of 'geometrical mechanics'. Based on the optical analogy, we obtain the Schrodinger equation as a result ofthe inverse of the Eikonal approximation to the Hamilton-Jacobi equation, and thus we arrive at 'wave mechanics'. The second formalism ofquantum mechanics is Heisenberg's 'matrix me chanics'. In this approach, we arrive at the Heisenberg equation of motion from consideration of the consistency of the Ritz combination principle, the Bohr quantization condition and the Fourier analysis of a physical quantity. These two formalisms ...
ISBN10: 3540878505, ISBN13: 9783540878506, [publisher: Springer, Berlin, Springer Berlin Heidelberg, Springer] Softcover Druck auf Anfrage Neuware - Printed after ordering - In this book, we discuss the path integral quantization and the stochastic quantization of classical mechanics and classical field theory. Forthe description ofthe classical theory, we have two methods, one based on the Lagrangian formalism and the other based on the Hamiltonian formal ism. The Hamiltonian formalism is derived from the Lagrangian formalism. In the standard formalism ofquantum mechanics, we usually make use ofthe Hamiltonian formalism. This fact originates from the following circumstance which dates back to the birth of quantum mechanics. The first formalism ofquantum mechanics is Schrodinger's wave mechan ics. In this approach, we regard the Hamilton-Jacobi equation of analytical mechanics as the Eikonal equation of 'geometrical mechanics'. Based on the optical analogy, we obtain the Schrodinger equation as a result ofthe inverse of the Eikonal approximation to the Hamilton-Jacobi equation, and thus we arrive at 'wave mechanics'. The second formalism ofquantum mechanics is Heisenberg's 'matrix me chanics'. In this approach, we arrive at the Heisenberg equation of motion from consideration of the consistency of the Ritz combination principle, the Bohr quantization condition and the Fourier analysis of a physical quantity. These two formalisms ...
Springer 12/11/2008 2nd 2009 ed. Paperback or Softback New in New jacket Path Integral Quantization and Stochastic Quantization (Paperback or Softback)
New. New Book; Fast Shipping from UK; Not signed; Not First Edition; The Path Integral Quantization and Stochastic Quantization. ISBN 3540878505 9783540878506 [GB]
Paperback / softback. New. This book gives an overview of path integral quantization and stochastic quantization of classical mechanics and field theory. Coverage includes the path integral representation of quantum statistical mechanics and stochastic quantization. ISBN 3540878505 9783540878506 [GB]
ISBN10: 3540878505, ISBN13: 9783540878506, [publisher: Springer] Softcover New! This book is in the same immaculate condition as when it was published [Tucson, AZ, U.S.A.] [Publication Year: 2008]
ISBN10: 3540878505, ISBN13: 9783540878506, [publisher: Springer] Softcover Buy with confidence! Book is in good condition with minor wear to the pages, binding, and minor marks within [Amherst, NY, U.S.A.] [Publication Year: 2008]
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