dorsal/arxiv
View SchemaA Variational Procedure for Time-Dependent Processes
| Authors | R. Englman, A. Yahalom |
|---|---|
| Categories | |
| ArXiv ID | physics/0406123 |
| URL | https://arxiv.org/abs/physics/0406123 |
| DOI | 10.1103/PhysRevE.69.026120 |
| Journal | Physical Review E, 69,2, 026120-026129 (2004) |
Abstract
A simple variational Lagrangian is proposed for the time development of an arbitrary density matrix, employing the "factorization" of the density. Only the "kinetic energy" appears in the Lagrangian. The formalism applies to pure and mixed state cases, the Navier-Stokes equations of hydrodynamics, transport theory, etc. It recaptures the Least Dissipation Function condition of Rayleigh-Onsager {\bf and in practical applications is flexible}. The variational proposal is tested on a two level system interacting that is subject, in one instance, to an interaction with a single oscillator and, in another, that evolves in a dissipative mode.
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"abstract": "A simple variational Lagrangian is proposed for the time development of an\narbitrary density matrix, employing the \"factorization\" of the density. Only\nthe \"kinetic energy\" appears in the Lagrangian. The formalism applies to pure\nand mixed state cases, the Navier-Stokes equations of hydrodynamics, transport\ntheory, etc. It recaptures the Least Dissipation Function condition of\nRayleigh-Onsager {\\bf and in practical applications is flexible}. The\nvariational proposal is tested on a two level system interacting that is\nsubject, in one instance, to an interaction with a single oscillator and, in\nanother, that evolves in a dissipative mode.",
"arxiv_id": "physics/0406123",
"authors": [
"R. Englman",
"A. Yahalom"
],
"categories": [
"physics.flu-dyn",
"physics.gen-ph"
],
"doi": "10.1103/PhysRevE.69.026120",
"journal_ref": "Physical Review E, 69,2, 026120-026129 (2004)",
"title": "A Variational Procedure for Time-Dependent Processes",
"url": "https://arxiv.org/abs/physics/0406123"
},
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