Lectures related to Hermitian adjoint

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

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

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

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

Covers the essential concepts of adjoint operators, spectrum, and resolvent sets in operator theory.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Covers the criteria for operators to be self-adjoint and the Friedrichs extension theorem.

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

Explores convolution properties, heat equation application, and Fourier transform on tempered distributions.

Covers the Herglotz representation theorem and the construction of projection-valued measure.

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

Covers the proof of unitary group uniqueness and spectral types.

Delves into the computation and geometric realization of small categories, exploring the relationship between nerves and geometric structures.

Covers fundamental concepts in quantum mechanics, including vector spaces, superposition, observables, and inner product.

Covers self-adjoint operators, Weyl criterion, and functional calculus in the context of symmetric operators and real spectrum.

Explores the postulates of Quantum Mechanics, emphasizing the state of a system as a complex-valued vector in a Hilbert space.

Introduces the postulates of Quantum Mechanics, focusing on states in a Hilbert space and the role of observables.

Explores the role of linear operators in Quantum Mechanics and linear algebra, emphasizing eigenvalues and basis transformations.

Covers the axioms of quantum mechanics and the measurement of quantities in a quantum system.

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