dorsal/arxiv
View SchemaThe Partition Function for the Anharmonic Oscillator in the Strong-Coupling Regime
| Authors | N. F. Svaiter |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503080 |
| URL | https://arxiv.org/abs/quant-ph/0503080 |
| DOI | 10.1016/j.physa.2005.12.067 |
Abstract
We consider a single anharmonic oscillator with frequency $\omega$ and coupling constant $\lambda$ respectively, in the strong-coupling regime. We are assuming that the system is in thermal equilibrium with a reservoir at temperature $\beta^{-1}$. Using the strong-coupling perturbative expansion, we obtain the partition function for the oscillator in the regime $\lambda>>\omega$, up to the order $\frac{1}{\sqrt{\lambda}}$. To obtain this result, we use of a combination of Klauder's independent-value generating functional (Acta Phys. Austr. {\bf 41}, 237 (1975)), and the generalized zeta-function method. The free energy and the mean energy, up to the order $\frac{1}{\sqrt{\lambda}}$, are also presented. We are showing that the thermodynamics quantities are nonanalytic in the coupling constant.
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"abstract": "We consider a single anharmonic oscillator with frequency $\\omega$ and\ncoupling constant $\\lambda$ respectively, in the strong-coupling regime. We are\nassuming that the system is in thermal equilibrium with a reservoir at\ntemperature $\\beta^{-1}$. Using the strong-coupling perturbative expansion, we\nobtain the partition function for the oscillator in the regime\n$\\lambda\u003e\u003e\\omega$, up to the order $\\frac{1}{\\sqrt{\\lambda}}$. To obtain this\nresult, we use of a combination of Klauder\u0027s independent-value generating\nfunctional (Acta Phys. Austr. {\\bf 41}, 237 (1975)), and the generalized\nzeta-function method. The free energy and the mean energy, up to the order\n$\\frac{1}{\\sqrt{\\lambda}}$, are also presented. We are showing that the\nthermodynamics quantities are nonanalytic in the coupling constant.",
"arxiv_id": "quant-ph/0503080",
"authors": [
"N. F. Svaiter"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physa.2005.12.067",
"title": "The Partition Function for the Anharmonic Oscillator in the Strong-Coupling Regime",
"url": "https://arxiv.org/abs/quant-ph/0503080"
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