Hamiltonian formulation of time-dependent variational principles for the many-body system

A. K. Kerman; S. E. Koonin

doi:10.1016/0003-4916(76)90065-8

Hamiltonian formulation of time-dependent variational principles for the many-body system

A. K. Kerman, S. E. Koonin

Research output: Contribution to journal › Article › peer-review

Abstract

We discuss a canonical Hamiltonian formulation for the general time-dependent variational principle associated with the Schroedinger equation. It is expected that such methods will be useful for a wide range of systems including the many body problem and field theory. It is hoped that the canonical formulation will be an aid in identifying useful further approximation schemes for complicated systems; for example, the reduction to some sort of fluid dynamics for the many body scattering problem or the identification of suitable dissipation terms in a reduced description by the use of statistical arguments.

Original language	English (US)
Pages (from-to)	332-358
Number of pages	27
Journal	Annals of Physics
Volume	100
Issue number	1-2
DOIs	https://doi.org/10.1016/0003-4916(76)90065-8
State	Published - Sep 10 1976

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/0003-4916(76)90065-8

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abstract = "We discuss a canonical Hamiltonian formulation for the general time-dependent variational principle associated with the Schroedinger equation. It is expected that such methods will be useful for a wide range of systems including the many body problem and field theory. It is hoped that the canonical formulation will be an aid in identifying useful further approximation schemes for complicated systems; for example, the reduction to some sort of fluid dynamics for the many body scattering problem or the identification of suitable dissipation terms in a reduced description by the use of statistical arguments.",

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note = "Funding Information: * This work is supported in part through funds provided by ERDA under Contract AT(ll-l)-3069. Based in part on a doctoral thesis submitted by S. E. Koonin to the Massachusetts Institute of Technology, June 1975. + Present address: Kellogg Radiation Laboratory, California Institute of Technology, Pasadena, California 91125, Copyright: Copyright 2014 Elsevier B.V., All rights reserved.",

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Y1 - 1976/9/10

N2 - We discuss a canonical Hamiltonian formulation for the general time-dependent variational principle associated with the Schroedinger equation. It is expected that such methods will be useful for a wide range of systems including the many body problem and field theory. It is hoped that the canonical formulation will be an aid in identifying useful further approximation schemes for complicated systems; for example, the reduction to some sort of fluid dynamics for the many body scattering problem or the identification of suitable dissipation terms in a reduced description by the use of statistical arguments.

AB - We discuss a canonical Hamiltonian formulation for the general time-dependent variational principle associated with the Schroedinger equation. It is expected that such methods will be useful for a wide range of systems including the many body problem and field theory. It is hoped that the canonical formulation will be an aid in identifying useful further approximation schemes for complicated systems; for example, the reduction to some sort of fluid dynamics for the many body scattering problem or the identification of suitable dissipation terms in a reduced description by the use of statistical arguments.

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Hamiltonian formulation of time-dependent variational principles for the many-body system

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