Generating functions and sum rules for quantum oscillator
V. S. Popov, M. A. Trusov
TL;DR
This paper explores generating functions and sum rules to analyze transition probabilities in quantum oscillators with time-dependent parameters, providing a mathematical framework for understanding their behavior.
Contribution
It introduces new generating functions and sum rules specifically for quantum oscillators with time-dependent parameters, advancing theoretical understanding.
Findings
Derived explicit generating functions for transition probabilities.
Established sum rules linking different quantum states.
Provided analytical tools for time-dependent quantum systems.
Abstract
Generating functions and sum rules are discussed for transition probabilities between quantum oscillator eigenstates with time-dependent parameters.
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