PHYS-426: Quantum physics IV

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Lectures in this course (66)

Functional Methods: Forced Harmonic Oscillator

Explores functional methods applied to the forced harmonic oscillator and external sources in various systems, such as magnetic fields and spin systems.

Correlation Functions in Quantum Field Theory

Explores correlation functions in QFT, Wick theorem, perturbation theory, and thermal free energy.

Functional Methods: Path Integral with a Source

Explores functional methods in quantum field theory, coupling systems to external sources and introducing the path integral with source.

Correlation Functions of Harmonic Oscillator

Explores correlation functions, Gaussian integrals, and perturbation theory in quantum field theory.

Thermal Partition Function: Feynman Diagrams

Covers the thermal partition function using Feynman diagrams and perturbation theory.

Connected Diagrams: Free Energy and Semiclassical Propagator

Explains free energy as a sum over connected diagrams and the semiclassical propagator in quantum field theory.

Feynman Diagrams: Anharmonic Oscillator

Explores Feynman diagrams for the anharmonic oscillator, covering thermal partition functions, Euclidean propagators, and correlation functions.

Free Energy and Semi-classical Propagator

Explores free energy calculation and semiclassical approximation in quantum physics, focusing on connected diagrams and propagators.

Semiclassical Propagator: Derivation and Applications

Covers the derivation of the semiclassical propagator and its applications in solving differential equations.

Fixed Energy Propagator: Density and Examples

Covers the fixed energy propagator, including its analytic structure and examples of free particle and barrier penetration.

Fixed Energy Propagator: Van Vleck - Pauli Formula

Explores the fixed energy propagator and the Van Vleck - Pauli formula.

Fixed Energy Propagator: Analytic Structure

Explores the fixed energy propagator's analytic structure and its application in free theory, emphasizing its key properties and computations.

Semi classical Approximation: Fixed Energy Propagator

Explores the semi classical approximation for the fixed energy propagator in quantum physics, emphasizing barrier penetration and saddle points.

Barrier Penetration and Spectral Density

Explores barrier penetration and spectral density in quantum physics, focusing on the Bohr-Sommerfeld quantization condition.

Barrier Penetration: Semiclassical Approximation

Covers the semiclassical approximation for barrier penetration across potential barriers.

Spectral Density: Semiclassical Approximation

Covers the semiclassical approximation for spectral density and the Bohr-Sommerfeld quantization condition.

Non-perturbative Effects in Quantum Physics

Explores non-perturbative effects in quantum physics, focusing on instantons in the double well potential.

Multi-Instanton Solutions in Quantum Field Theory

Explores the dilute instanton gas approximation and the importance of multi-instanton solutions in quantum field theory.

Non-perturbative Effects: Instantons in Double Well Potential

Explores non-perturbative effects through instantons in a double well potential.

Dilute Instanton Gas Approximation

Explores the dilute instanton gas approximation and its implications on classical solutions and the harmonic oscillator.

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