Transcription of Introduction to Floquet
{{id}} {{{paragraph}}}
Example: tourism industry
Introduction to Floquet
Introduction to Floquet - Lecture notes -Giuseppe E. SantoroSISSA, Trieste2 PrefaceThese notes are based on a short course on the topic given at SISSA and at GGI Floquet theory: a classical warmup5 Periodically driven pendulum ..6 Bloch electron in a periodic potential ..10A perturbative approach to the periodic Bloch function ..13 Lyapunov exponents ..15 Classical Floquet -Lyapunov theory ..16 Application to the Mathieu equation ..172 Floquet theory in quantum mechanics19 The Floquet theorem ..19 Proof of the Floquet theorem ..20 Proof of the Floquet theorem for a classical linear system ..22 The periodic moving frame and the extended Hilbert space ..24 Thet tformalism ..27 Magnetic spin resonance and two-level atom ..28 Exact solution for the circularly polarised case ..28 The rotating wave approximation for the linearly polarised case ..31 The Shirley- Floquet approach.
resonance. We will discuss, using this example, the Shirley-Floquet approach that essentially promotes the Fourier index to a new extra dimension. Useful references on di erent aspects of the story are: a tutorial review by a leading expert in the eld, M. Holthaus [1], a very nice review on the issue of high-frequency expansions by
Loading..
Tags:
Information
Domain:
Source:
Link to this page:
Please notify us if you found a problem with this document: