PHYS-426: Quantum physics IV

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Lectures in this course (66)

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.

Charged Particle in Magnetic Field

Explores the behavior of a charged particle in a magnetic field, covering classical and quantum aspects, gauge transformations, and spatial translations.

Charged Particle in Magnetic Field: Landau Levels

Explores charged particles in a magnetic field, focusing on Landau levels and gauge transformations.

Aharonov-Bohm Effect

Explores the Aharonov-Bohm effect, magnetic fields on quantum particles, Landau levels, and relative phase.

Charged Particle in Magnetic Field: Landau Levels

Explores charged particles in a magnetic field, focusing on Landau levels and translation generators.

Aharonov-Bohm Effect: Magnetic Monopoles

Explores the Aharonov-Bohm effect and magnetic monopoles in quantum mechanics.

Quantum Monte Carlo: Particle on a Ring

Explores charged particles in magnetic fields and introduces the concept of magnetic monopoles.

Quantum Monte Carlo: Basic Concepts

Covers the basic concepts of Quantum Monte Carlo and its application in spin chains, Markov chains, and Monte Carlo simulations.

Quantum Mechanics: Operators and Eigenvalues

Covers matrix elements, operators, paths with conditions, and time evolution in quantum mechanics.

Euclidean Path Integral: Introduction and Applications

Introduces the Euclidean path integral and its applications in quantum field theory and statistical mechanics.

Euclidean Path Integral: Correlation Functions

Explores Euclidean path integrals and correlation functions, showcasing how they relate to real-time correlators.

Generating Functions for Correlation Functions

Explores generating functions for correlation functions in the context of the forced harmonic oscillator.

Perturbation Theory in Path Integral Formalism

Explores perturbation theory in the path integral formalism using Feynman diagrams and free energy expansion.

Perturbation Theory in Path Integral Formalism

Explores perturbation theory in path integrals and the semi-classical approximation for solving non-exactly soluble systems.

Quantum Physics IV: Analytic Continuation and Monte Carlo Methods

Explores analytic continuation in quantum physics and the use of Monte Carlo methods.

Semiclassical Propagator: Explicit Formulation

Explores the semiclassical propagator, deriving a formula linking classical action and psi zero.

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