大腔体中的非谐振子辐射过程
Anharmonic oscillator radiation process in a large cavity
摘要:
我们考虑一个粒子表示的非谐振子,耦合到一个环境(场)建模的合奏的非谐振子,整个系统被限制在一个腔的直径$L$。直到四次相互作用中的第一微扰级(相互作用参数$λ$),我们利用以前文献中介绍的{ \it dressed}态的形式,得到了大腔中粒子辐射过程的显式$λ$相关公式.这些公式是根据线性情况下相应的精确表达式得到的。我们的结论是四次相互作用引起的粒子衰变的增强。
英文摘要:
We consider a particle represented by an anharmonic oscillator, coupled to an environment (a field) modeled by an ensemble of anharmonic oscillators, the whole system being confined in a cavity of diameter $L$. Up to the first perturbative order in the quartic interaction (interaction parameter $λ$), we use the formalism of {\it dressed} states introduced in previous publications, to obtain for a large cavity explicit $λ$-dependent formulas for the particle radiation process. These formulas are obtained in terms of the corresponding exact expressions for the linear case. We conclude for the enhancement of the particle decay induced by the quartic interaction.
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