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- Schwinger's_quantum_action_principle abstract "Schwinger's quantum action principle is a variational approach to quantum field theory introduced by Julian Schwinger. In this approach, the quantum action is an operator. Although it is superficially different from the path integral formulation where the action is a classical function, the modern formulation ofthe two formalisms are identical.Suppose we have two states defined by the values of a complete set of commuting operators at two times. Let the early and late states be and , respectively. Suppose that there is a parameter in the Lagrangian which can be varied, usually a source for a field. The main equation of Schwinger's quantum action principle is:where the derivative is with respect to small changes in the parameter.In the path integral formulation, the transition amplitude is represented by the sumover all histories of , with appropriate boundary conditions representing the states and . The infinitesimal change in the amplitude is clearly given by Schwinger's formula. Conversely, starting from Schwinger's formula, it is easy to show that the fields obey canonical commutation relations and the classical equationsof motion, and so have a path integral representation. Schwinger's formulation was most significant because it could treat fermionic anticommuting fields with the same formalism as bose fields, thus implicitly introducing differentiation and integrationwith respect to anti-commuting coordinates.".
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- Schwinger's_quantum_action_principle wikiPageRevisionID "543792589".
- Schwinger's_quantum_action_principle hasPhotoCollection Schwinger's_quantum_action_principle.
- Schwinger's_quantum_action_principle subject Category:Perturbation_theory.
- Schwinger's_quantum_action_principle subject Category:Principles.
- Schwinger's_quantum_action_principle subject Category:Quantum_field_theory.
- Schwinger's_quantum_action_principle type Abstraction100002137.
- Schwinger's_quantum_action_principle type Cognition100023271.
- Schwinger's_quantum_action_principle type Content105809192.
- Schwinger's_quantum_action_principle type Generalization105913275.
- Schwinger's_quantum_action_principle type Idea105833840.
- Schwinger's_quantum_action_principle type Principle105913538.
- Schwinger's_quantum_action_principle type Principles.
- Schwinger's_quantum_action_principle type PsychologicalFeature100023100.
- Schwinger's_quantum_action_principle comment "Schwinger's quantum action principle is a variational approach to quantum field theory introduced by Julian Schwinger. In this approach, the quantum action is an operator. Although it is superficially different from the path integral formulation where the action is a classical function, the modern formulation ofthe two formalisms are identical.Suppose we have two states defined by the values of a complete set of commuting operators at two times.".
- Schwinger's_quantum_action_principle label "Schwinger's quantum action principle".
- Schwinger's_quantum_action_principle label "Schwingers Quantenwirkungsprinzip".
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- Schwinger's_quantum_action_principle wasDerivedFrom Schwinger's_quantum_action_principle?oldid=543792589.
- Schwinger's_quantum_action_principle isPrimaryTopicOf Schwinger's_quantum_action_principle.