Position and momentum spaces

Related lectures (30)

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Compares uncertainty in position and momentum in two universes, highlighting quantum mechanics' impact.

Covers the basics of path integral in quantum mechanics and its application to free particles.

Explores Sobolev spaces, unitary groups, Laplacian properties, and translation groups in L^2.

Delves into the Heisenberg uncertainty principle through a hypothetical scenario affecting a tennis ball's position uncertainty.

Covers the path integral for a free particle and wave packet evolution, with exercises in momentum space.

Covers the transmission operator, commutation relations, position representation, momentum eigenstates, and Fourier transform properties.

Explores the motivation for studying linear operators in Quantum Mechanics, emphasizing their essential role and practical applications.

Covers the quantum many-body problem, wave functions, storing wave functions, and example spin models.

Covers the definitions and dynamics of harmonic oscillators, including ladder operators and coherent states.

Explores spin operators in quantum chemistry, focusing on their properties and commutation rules with orbital angular momentum operators.