Lectures related to Quantum statistical mechanics

Euclidean Path Integrals: Thermal Partition Function

Covers Euclidean path integrals and the thermal partition function in Quantum Field Theory.

Covers Imaginary-Time Path Integrals, classical and quantum systems, convergence in simulations, and integration schemes for molecular dynamics.

Existence of Gibbs measures

Explores quasilocality in statistical mechanics and the existence conditions of Gibbs measures.

Statistical Physics: Isolated Systems and Entropy

Covers statistical physics, isolated systems, entropy, and the Boltzmann distribution.

Euclidean Path Integrals: Harmonic Oscillator

Explores the Euclidean path integral formalism, with a focus on the harmonic oscillator.

Biophysics: Molecular Crowding Effects

Delves into the effects of molecular crowding on cellular processes.

Proteins and Cooperativity in Ligand Binding Models

Explores statistical mechanics models for ligand binding with cooperativity in proteins like hemoglobin and myoglobin.

Kinetic Theory of Gases: Introduction

Introduces the kinetic theory of gases, focusing on the microscopic description of gas components and the ideal gas law.

Ising Model: 2D Expansion

Explores the Ising model in 2D, emphasizing system expansion and properties.

Spherical Symmetry in Statistical Mechanics

Explores spherical symmetry in statistical mechanics and its role in phase transitions.

Particle Physics Fundamentals and Functions

Covers the basics of particle physics and the concept of ß function in statistical mechanics.

Ising Model: 2D High Temperature Expansion

Explores the high-temperature expansion of the Ising model in 2D square lattice.

Statistical Definition of Entropy: Adatoms and Mixing

Explores the statistical definition of entropy, adatoms on a surface, and mixing in a solid solution.

Definition of a Gibbs measures

Covers the definition of Gibbs measures, proper kernels, compatibility, phase transitions, and existence conditions.

Statistical Mechanics: Fundamentals

Covers the fundamentals of statistical mechanics, including system parameters, variables, and thermal equilibrium.

Chemical Equilibria and Reactivity

Covers the concepts of energy types, entropy, second principle, and Gibbs free energy.

Monte Carlo Simulations

Covers the theory and practical aspects of Monte Carlo simulations in molecular dynamics, including ensemble averages and Metropolis algorithm.

Biophysics: Cellular Systems and Physical Principles

Explores biophysics, focusing on physical principles in cellular systems and the nature of living systems, cells, and bacteria.

Biophysics I: Crowding and Depletion Interaction

Explores statistical mechanics models, crowding in E. coli, and subcellular organization.

Sampling the Canonical Ensemble

Explores sampling the canonical ensemble, temperature fluctuations, extended Lagrangian, and Maxwell-Boltzmann distribution in molecular dynamics simulations.