Lectures related to Normal operator

Explains the postulates of quantum mechanics and the representation of observables by operators.

Explores basis transformation, eigenvalues, and linear operators in inner product spaces, emphasizing their significance in Quantum Mechanics.

Delves into unitary operators, self-adjoint properties, and spectral theorems in linear algebra.

Explains the postulates of Quantum Mechanics, focusing on self-adjoint operators and mathematical notation.

Covers the fundamental concepts of unbounded operators and their adjoints, exploring auto-adjoint and normal operators.

Introduces discrete symmetries, operators, and tetraquarks in quantum field theory.

Discusses the existence of a common orthonormal eigenbasis to normal operators.

Explores the verification of PVM properties and the spectral theorem for unbounded operators in quantum mechanics.

Explores the theory of bounded operators on Hilbert space, including adjoint properties and self-adjointness.

Covers the fundamental concepts of unbounded operators in quantum physics, focusing on defining a functional calculus and spectral decomposition.

Explores eigenvalue problems, eigenbasis, spectral theorem, and properties of normal operators.

Covers the concept of operator projections onto subspaces, focusing on characteristic functions.

Explores Hermitian operators, auto-adjoint properties, and spectral theorems in Hermitian spaces.

Explores vector spaces, linear transformations, matrices, eigenvalues, inner products, and operators.

Explores the matrix representation of operators and basis transformation in linear algebra.

Explores the postulates of Quantum Mechanics, including states, observables, composite systems, Schrödinger equation, and entangled states.

Explores the spectral decomposition of non-bounded operators and presents the spectral theorem for self-adjoint non-bounded operators.

Explores the application of linear algebra in Quantum Mechanics, emphasizing its importance in understanding materials properties.

Explores spectral basis, Schrödinger equation, unitary equivalence, and self-adjoint operators.

Explores the Wigner theorem, translation symmetry, eigenstates, and wave functions in quantum physics.