1973Progress of Theoretical PhysicsRequires access

Integrability Condition and Energy-Density Commutation Relation

Takeshi Fukuyama

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Abstract

Canonical formalism is described in terms of curvilinear coordinates and energy-density commutation relation is derived from the integrability condition of total Hamiltonian density in model independent ways. This commutation relation is shown to have a simple form originally given by Schwinger, which is valid for the arbitrary spin fields without any restriction on the form of interaction.

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Canonical formalism is described in terms of curvilinear coordinates and energy-density commutation relation is derived from the integrability condition of total Hamiltonian density in model independent ways. This commutation relation is shown to have a simple form originally given by Schwinger, which is valid for the arbitrary spin fields without any restriction on the form of interaction.

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Available abstract

Canonical formalism is described in terms of curvilinear coordinates and energy-density commutation relation is derived from the integrability condition of total Hamiltonian density in model independent ways. This commutation relation is shown to have a simple form originally given by Schwinger, which is valid for the arbitrary spin fields without any restriction on the form of interaction.

Key concepts: Commutation, Physics, Formalism (music), Hamiltonian formalism, Hamiltonian (control theory), Energy density, Mathematical physics, Curvilinear coordinates

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