6533b827fe1ef96bd1287258

RESEARCH PRODUCT

Berry Phase and Parametric Harmonic Oscillator

Walter DittrichMartin Reuter

subject

Section (fiber bundle)PhysicsVackář oscillatorGeometric phaseQuantum mechanicsAnharmonicityFunction (mathematics)Parametric oscillatorOmegaHarmonic oscillator

description

Our concern in this section is once more with the time-dependent harmonic oscillator with Lagrangian $$\displaystyle{ L = \frac{1} {2}\dot{x}^{2} -\frac{1} {2}\omega ^{2}(t)x^{2}\;. }$$ To present a coherent picture of the whole problem, let us briefly review some of the results of Chap. 21. There we found the propagation function

https://doi.org/10.1007/978-3-642-56430-7_34