Lecture

Quantum Mechanics: Path Integral Representation

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In course

PHYS-425: Quantum physics III

To introduce several advanced topics in quantum physics, including semiclassical approximation, path integral, scattering theory, and relativistic quantum mechanics ...

Description

This lecture covers the path integral representation in quantum mechanics, starting with the evolution of a Gaussian wave packet according to classical equations of motion. It then delves into the Feynman path integral, Planck's reminder, and the classical analytical mechanics. The lecture also explores the Hamiltonian formalism, Lagrangian formalism, and the dynamics of systems described by Lagrangian. The instructor discusses the trajectory in phase space, the action principle, and the evolution amplitude. The lecture concludes with the simplification of expressions and the final form of the results.

Instructor

Oleg Yazyev

Prof. Oleg Yazyev (Олег Язев) was born in Simferopol, Crimean peninsula. He obtained his degree in chemistry from Moscow State University in 2003. He then joined Ecole Polytechnique Fédérale de Lausanne (EPFL) completing his PhD thesis in chemistry and chemical engineering in 2007. Next two years he has spent as a postdoctoral fellow at the Institute of Theoretical Physics (ITP) and the Institute for Numerical Research in the Physics of Materials (IRRMA) of the same institution. In 2009-2011 he was a postdoctoral fellow at the Department of Physics of the University of California, Berkeley and the Lawrence Berkeley National Laboratory. In September 2011 he started an independent research group supported by the Swiss National Science Foundation professorship grant. In 2012 he was awarded an ERC Starting grant. His current research focuses on theoretical and computational physics of two-dimensional and topological materials with strong emphasis on their prospective technological applications. ResearcherID profile of Oleg Yazyev Google Scholar profile of Oleg Yazyev

Official source

Ontological neighbourhood

Physics

Mechanics: Classical mechanics

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