Mathematical formulation of quantum mechanics

Related lectures (32)

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Explores quantum mechanics, focusing on wave functions, operators, Heisenberg uncertainty principle, and particles in potential wells.

Reviews Dirac notation, observable operators, and exact TDSE solutions using basis sets and Hamiltonians.

Introduces the quantum harmonic oscillator basics, including operators and energy states.

Covers creation and annihilation operators in quantum mechanics and their applications in harmonic oscillators.

Introduces the principles of quantum mechanics, focusing on particle confinement and energy quantization.

Covers harmonic oscillations, energy eigenstates, and the stationary Schrödinger equation in wave mechanics.

Explains the Hartree-Fock approximation method and the process of minimizing the energy expression to find the wavefunction.

Explains quantum mechanics principles, focusing on harmonic oscillators and probability distributions.

Covers exact and semiclassical quantum dynamics, including Schrödinger's equation and molecular interactions.

Explores the generation and properties of squeezed light, improving signal-to-noise ratio for measurements.