Quantum Mechanics: Eigenfunctions and Operators

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Explores power series solutions in quantum mechanics for differential equations and energy quantization.

Explores the Jarzynski equation and the quantization of electrical circuits in quantum harmonic oscillators.

Explores the properties of relations in computer science, including equivalence relations and the partition of a set.

Covers determinantal point processes, sine-process, and their extrapolation in different spaces.

Delves into the computation and geometric realization of small categories, exploring the relationship between nerves and geometric structures.

Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.

Delves into symmetries in physics, covering group theory, perturbation, and quantification.

Covers eigenvalues, eigenfunctions, Hermitian operators, and the measurement of observables in quantum chemistry.

Explains the postulates of Quantum Mechanics, focusing on self-adjoint operators and mathematical notation.

Explores wave functions, electron density, quantum mechanics principles, operators, Schrödinger's equation, and key quantum terminologies.