Lectures related to Projectors on Invariant Subspaces

The Schur Lemma: Physical Interpretation

Explores the physical interpretation of the Schur lemma in quantum physics.

Group Representations Theory Application Overview

Covers the application of group representations theory in quantum physics.

Quantum Mechanics: Spatial Interference and Coupling

Covers quantum mechanics exercises on spatial interference and coupling between oscillators, emphasizing independent problem-solving and the implications of measurement in quantum systems.

Time-Independent Perturbation Theory: Degenerate Case

Explores time-independent perturbation theory in the degenerate case within quantum physics.

Time-Independent Perturbation Theory: Degenerate Case

Covers the theory of time-independent perturbations in the degenerate case.

Lemma of Schur: Group Repetition Theory

Explores irreducible and reducible representations in group repetition theory and the lemma of Schur in quantum physics.

Interaction Point of View

Explores time-dependent perturbation theory in quantum physics from an interaction point of view.

Perturbation Theory: Time-Dependent Disturbance Theory

Explores time-dependent perturbations in quantum physics and their solutions under various disturbance scenarios.

Quantum Measurement: Wave Function Collapse and Operators

Covers quantum measurement principles, wave function collapse, and the role of operators in quantum mechanics.

Hidden Subgroup Algorithm

Covers the Hidden Subgroup Algorithm in quantum computing, emphasizing projectors and measurement postulates.

Quantum Information Elements: Basics and Applications

Covers the basics of quantum information elements and their practical applications in quantum information processing.

Density Operator: Matrix to the System State

Explores density operator matrix transformation in quantum physics and the implications of measuring the system, leading to state collapse.

Principles of Quantum Physics

Covers the principles of quantum physics, focusing on tensor product spaces and entangled vectors.

Continuous Symmetries; Parity Symmetry

Explores symmetry operations in quantum physics, including rotations and translations.

Quantum Measurement Operators: Concepts and Examples

Covers quantum measurement operators, their definitions, applications, and examples in quantum mechanics.

Matrix to Density Operator

Explains the transformation from a matrix to the density operator in quantum physics.

Quantum Physics I

Covers the basics of quantum physics, focusing on the quantum harmonic oscillator and eigen-kets of Hamiltonian.

Quantum Entanglement

Delves into quantum entanglement, exploring entangled particles' state, evolution, and measurement.

Quantum Bosons: Second Quantification

Explores perturbation theory, proper states, undegenerated states, and problem-solving in quantum bosons.

Quantum Physics II: Time-Independent Perturbation Theory

Explores time-independent perturbations in quantum physics, covering variational principle and Fourier series.