Fourier Transform: Basics and Applications

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Explores eigenvalues, ladder operations, and quantum number values in quantum physics.

Analyzes Coulomb collisions between charged particles and the conservation of energy, momentum, and angular momentum.

Covers the concepts of cross section and lifetime in quantum fluids, focusing on transition and differential probabilities.

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

Explores the Wigner-Eckart theorem and its applications in quantum physics.

Explores magnetic scattering, focusing on pairwise little group and helicity, constructing the S-matrix and analyzing multi-particle representations.

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

Introduces quantum mechanics, covering S-matrix, scattering amplitudes, and optical theorem.

Explores angular momentum, central forces, and gravitational theory, including Kepler's laws and Newton's approach.

Explores asymptotic states, S-matrix, and operators in quantum field theory, emphasizing the role of discrete symmetries and complete sets of states.