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PHYS-426: Quantum physics IV
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Lectures in this course (66)
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.
Path Integral: Free Particle
Covers the path integral method with a focus on a free particle example.
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.
Path Integral and Gaussian Integrals
Covers the path integral representation of the propagator and Gaussian integrals in complex and multi-dimensional cases.
Twisted Partition Function: Instanton Pre-factor
Explores the instanton pre-factor, twisted partition function, and zero mode integration.
Functional Determinants and Gelfand-Yaglom Theorem
Explores functional determinants and the Gelfand-Yaglom theorem through detailed mathematical calculations and asymptotic behavior analysis.
Instanton Pre-factor: Interaction with Electromagnetic Field
Explores the instanton pre-factor and its interaction with electromagnetic fields, including the double well potential and nonperturbative energy splitting.
Interaction with External Electromagnetic Field
Explores classical and quantum physics concepts related to the interaction with an external electromagnetic field.
Non-Perturbative Energy Splitting in Symmetric Potentials
Explores non-perturbative energy splitting in symmetric potentials using saddle points and the twisted partition function.
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