Lectures in course PHYS-425: Quantum physics III

Introduces relativistic quantum mechanics, Dirac equation, positron prediction, and quantum states properties.

Covers the evolution of operators in the Heisenberg picture and coherent states of the harmonic oscillator.

Covers the introduction of scattering amplitude, optical theorem, and unitary operators in quantum mechanics.

Explores the analytic structure of Green's function, bound and scattering states, and perturbation theory.

Explores scattering theory, S-matrix, T-product, perturbation theory, and Schrödinger equation solutions.

Explores special relativity, the Schrödinger and Dirac equations, antiparticles, and fermions' shortcomings.

Introduces relativity into quantum mechanics and discusses the Dirac equation and 4x4 matrices.

Covers the properties of coherent states and their energy distribution related to harmonic oscillators.

Introduces coherent states, the Ehrenfest theorem, and path integrals in quantum mechanics.

Explores the path integral formulation in quantum mechanics and its physical interpretation.

Covers the path integral evolution operator representation and the semiclassical approximation in quantum mechanics.

Covers wave functions, De Broglie wavelength, and quantization in quantum mechanics.

Analyzes bound-state problems, Bohr-Sommerfeld quantization, and tunneling through potential barriers in quantum mechanics.

Explores scattering theory in quantum mechanics, including tunneling phenomena and differential cross-section concepts.

Discusses the scattering problem, differential cross-section, total cross-section, and Moller operators in quantum mechanics.

Covers the fundamentals of quantum mechanics, including observables and the uncertainty principle.

Covers the harmonic oscillator in classical and quantum worlds, discussing the evolution of a free particle and Gaussian wavepacket.

Explores Born approximations in scattering theory, focusing on momentum transfer and interaction terms.

Covers the derivation of the scattering amplitude using Lippmann-Schwinger equations and the introduction of Green's functions.

Explores the applicability of non-relativistic quantum mechanics and its relation to special relativity.