Symmetry of General Time-Dependent Harmonic Oscillator
نویسندگان
چکیده
منابع مشابه
Propagator for the time-dependent harmonic oscillator.
The propagator for a harmonic oscillator with general time-dependent mass and frequency matrices is constructed from the Van-Vleck/Morette formula. The explicit form of the classical action, and thus of the propagator, is found in terms of infinite series which are solutions to a set of differential equations. Those equations are found independently via the Hamilton-Jacobi equation, and by comp...
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The theory of adiabatic invariants has a long history, and very important implications and applications in many different branches of physics, classically and quantally, but is rarely founded on rigorous results. Here we treat the general timedependent one-dimensional harmonic oscillator, whose Newton equation q̈+ω(t)q = 0 cannot be solved in general. We follow the time-evolution of an initial e...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1997
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.97.617