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Lecture

Ground State Energy: Harmonic Oscillator and Perturbation

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MATH-495: Mathematical quantum mechanics

Quantum mechanics is one of the most successful physical theories. This course presents the mathematical formalism (functional analysis and spectral theory) that underlies quantum mechanics. It is simultaneously an introduction to mathematical physics and ...

Description

This lecture covers the ground state and ground state energy, with examples of the harmonic oscillator and perturbation by a bounded potential. The existence of ground states and excited energies are discussed, along with the energy functional and its advantages in different contexts.

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