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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Path Integral Quantization and Stochastic Quantization

Path Integral Quantization and Stochastic Quantization

Masujima, Michio

Paperback

General ComputersPhysics

ISBN10: 3540878505
ISBN13: 9783540878506
Publisher: Springer
Published: Dec 11 2008
Pages: 282
Weight: 0.92
Height: 0.62 Width: 6.14 Depth: 9.21
Language: English
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 make up the Hamiltonian.formalism of quantum me- chanics.

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