Schwinger's Quantum Action Principle

From Dirac’s Formulation Through Feynman’s Path Integrals, the Schwinger-Keldysh Method, Quantum Field Theory, to Source Theory

Nonfiction, Science & Nature, Science, Physics, Quantum Theory, General Physics
Cover of the book Schwinger's Quantum Action Principle by Kimball A. Milton, Springer International Publishing
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Author: Kimball A. Milton ISBN: 9783319201283
Publisher: Springer International Publishing Publication: June 12, 2015
Imprint: Springer Language: English
Author: Kimball A. Milton
ISBN: 9783319201283
Publisher: Springer International Publishing
Publication: June 12, 2015
Imprint: Springer
Language: English

Starting from the earlier notions of stationary action principles, these tutorial notes shows how Schwinger’s Quantum Action Principle descended from Dirac’s formulation, which independently led Feynman to his path-integral formulation of quantum mechanics. Part I brings out in more detail the connection between the two formulations, and applications are discussed. Then, the Keldysh-Schwinger time-cycle method of extracting matrix elements is described. Part II will discuss the variational formulation of quantum electrodynamics and the development of source theory.

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Starting from the earlier notions of stationary action principles, these tutorial notes shows how Schwinger’s Quantum Action Principle descended from Dirac’s formulation, which independently led Feynman to his path-integral formulation of quantum mechanics. Part I brings out in more detail the connection between the two formulations, and applications are discussed. Then, the Keldysh-Schwinger time-cycle method of extracting matrix elements is described. Part II will discuss the variational formulation of quantum electrodynamics and the development of source theory.

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