Work

The Anisotropic Gaussian Semi-Classical Schrödinger Propagator

Year: 2026

Type: article

Abstract: We present a construction of the anisotropic Gaussian semi-classical Schrödinger propagator, emblematic of a class of Fourier integral operators of quadratic phase kernels related to the Schrödinger equation. We deduce a set of algebraic relations of the variational matrices, solutions of the variational system pertaining to single Gaussian wave packet semi-classical time evolution, some already known in the literature, representing the symplectic and other invariances of the dynamics, which are subsequently utilized in order to derive the Van Vleck formula from the semi-classical Schrödinger propagator.

Source: Modern mathematical physics

DOI: 10.3390/mmphys2010002

Authors: Panos D. Karageorge, George N. Makrakis

Institutions: University of Crete, Foundation for Research and Technology Hellas

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,207

OpenAlex ID: W7131254343

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Cites: 24

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