Summary
In this paper the procedure of Caldirola and Montaldi is applied in the Heisenberg representation. It is also proved here that the introduction of the parameter τ contributes to the specification of a quantum-dissipative system, as exactly happens in the Schrödinger representation. As an example the case of the harmonic oscillator as well as that of the damped harmonic oscillator are examined.
Riassunto
In questo lavoro si applica la procedura di Caldirola e Montaldi nella rappresentazione di Heisenberg. Si prova che l’introduzione del parametro τ contribuisce alla specificazione di un sistema quantodissipativo, esattamente come accade nella rappresentazione di Schrödinger. Si esaminano come esempi il caso dell’oscillatore armonico e quello dell’oscillatore armonico smorzato.
Резюме
В этой статье процедура Калдиролы-Монтальди применяется в представлении Гайзенберга. Доказывается, что параметр τ приводит к спецификации квантовой диссипативной системы, аналогично рассмотрению в представлении Шредингера. Как пример, исследуется случай гармонического осциллятора, а также случай затухающего гармонического осциллятора.
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Jannussis, A., Leodaris, A., Filippakis, P. et al. Heisenberg equations of motion in the Caldirola-Montaldi procedure. Nuov Cim B 67, 161–172 (1982). https://doi.org/10.1007/BF02721159
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DOI: https://doi.org/10.1007/BF02721159