On the instability of an oscillator in a field
We discuss the origin of dissipation in a one-dimension model describing the interaction of a microsystem (an oscillator) with a bath (a quantized field). The Hamiltonian is a gauge-type coupling of the oscillator with the field and it is bounded below. Classical and quantum pictures are considered....
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
1994
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| In: |
Annals of physics
Year: 1994, Volume: 233, Issue: 2, Pages: 182-213 |
| DOI: | 10.1006/aphy.1994.1065 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1006/aphy.1994.1065 Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0003491684710657 
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| Author Notes: | G.V. Efimov, W. Vonwaldenfels |
| Summary: | We discuss the origin of dissipation in a one-dimension model describing the interaction of a microsystem (an oscillator) with a bath (a quantized field). The Hamiltonian is a gauge-type coupling of the oscillator with the field and it is bounded below. Classical and quantum pictures are considered. Our formulation of the problem: what stable states are described by the total Hamiltonian if the excited states of the oscillator are unstable? How can these unstable states arise in a conservative system? The vacua of the free and the interacting system are found in dipole approximation. The theory determines a formfactor which optimizes the contributions of the total Hamiltonian in dipole approximation. These two vacua generate equivalent representations of canonical commutation relations. As a result of the oscillator-field interaction the stable states of this system consist of the vacuum (oscillator ground state) and quanta of the quantized field (bath). It means that the oscillator as a stable state can exist only in the ground state. Any excited oscillator states can be seen as resonances in the field-field scattering. |
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| Item Description: | Falsche Namensform in der Vorlage Elektronische Reproduktion der Druck-Ausgabe 25. Mai 2002 Gesehen am 31.05.2023 |
| Physical Description: | Online Resource |
| DOI: | 10.1006/aphy.1994.1065 |