# Semi-classical Time-frequency Analysis and Applications

@article{Cordero2016SemiclassicalTA, title={Semi-classical Time-frequency Analysis and Applications}, author={Elena Cordero and Maurice A. de Gosson and Fabio Di Nicola}, journal={Mathematical Physics, Analysis and Geometry}, year={2016}, volume={20}, pages={1-23} }

This work represents a first systematic attempt to create a common ground for semi-classical and time-frequency analysis. These two different areas combined together provide interesting outcomes in terms of Schrödinger type equations. Indeed, continuity results of both Schrödinger propagators and their asymptotic solutions are obtained on ℏ$\hbar $-dependent Banach spaces, the semi-classical version of the well-known modulation spaces. Moreover, their operator norm is controlled by a constant…

## 4 Citations

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In this note we study the properties of a sequence of approximate propagators for the Schrödinger equation, in the spirit of Feynman’s path integrals. Precisely, we consider Hamiltonian operators…

### A Time–Frequency Analysis Perspective on Feynman Path Integrals

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### Computing quantum dynamics in the semiclassical regime

- PhysicsActa Numerica
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This paper reviews and studies numerical approaches that are robust to the small semiclassical parameter, and presents and analyses variationally evolving Gaussian wave packets, Hagedorn’s semiclassicals wave packet, continuous superpositions of both thawed and frozen Gaussians, and Wigner function approaches to the direct computation of expectation values of observables.

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