Lecture

Quantum Mechanics: Schrödinger Equation

In course

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Description

This lecture covers the application of the Schrödinger equation in quantum mechanics, focusing on numerical methods and approximations. It discusses the WKB approximation, separation of scales, and the discretization of spatial and temporal operators. The presentation includes the development of numerical schemes, such as semi-implicit methods and the Crank-Nicolson scheme, ensuring conservation of probability. The lecture also explores the properties of observables in quantum mechanics, emphasizing Hermitian operators and the probabilistic interpretation of mean values and standard deviations.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_6xazoihf

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Ontological neighbourhood

Mathematics

Analysis: Numerical analysis

Physics

Quantum mechanics: Mathematical formulation of quantum mechanics

Statistics

Statistical inference: Mathematical statistics

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