dorsal/arxiv
View SchemaClassical and Quantum-like approaches to Charged-Particle Fluids in a Quadrupole
| Authors | S. De Nicola, R. Fedele, V. I. Man'ko |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112123 |
| URL | https://arxiv.org/abs/quant-ph/0112123 |
| DOI | 10.1238/Physica.Regular.065a00345 |
Abstract
A classical description of the dynamics of a dissipative charged-particle fluid in a quadrupole-like device is developed. It is shown that the set of the classical fluid equations contains the same information as a complex function satisfying a Schrodinger-like equation in which Planck's constant is replaced by the time-varying emittance, which is related to the time-varying temperature of the fluid. The squared modulus and the gradient of the phase of this complex function are proportional to the fluid density and to the current velocity, respectively. Within this framework, the dynamics of an electron bunch in a storage ring in the presence of radiation damping and quantum-excitation is recovered. Furthermore, both standard and generalized (including dissipation) coherent states that may be associated with the classical particle fluids are fully described in terms of the above formalism.
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"abstract": "A classical description of the dynamics of a dissipative charged-particle\nfluid in a quadrupole-like device is developed. It is shown that the set of the\nclassical fluid equations contains the same information as a complex function\nsatisfying a Schrodinger-like equation in which Planck\u0027s constant is replaced\nby the time-varying emittance, which is related to the time-varying temperature\nof the fluid. The squared modulus and the gradient of the phase of this complex\nfunction are proportional to the fluid density and to the current velocity,\nrespectively. Within this framework, the dynamics of an electron bunch in a\nstorage ring in the presence of radiation damping and quantum-excitation is\nrecovered. Furthermore, both standard and generalized (including dissipation)\ncoherent states that may be associated with the classical particle fluids are\nfully described in terms of the above formalism.",
"arxiv_id": "quant-ph/0112123",
"authors": [
"S. De Nicola",
"R. Fedele",
"V. I. Man\u0027ko"
],
"categories": [
"quant-ph"
],
"doi": "10.1238/Physica.Regular.065a00345",
"title": "Classical and Quantum-like approaches to Charged-Particle Fluids in a Quadrupole",
"url": "https://arxiv.org/abs/quant-ph/0112123"
},
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