Lectures related to Unitary operator

Covers the extension of bounded linear transformations and the free propagator in L^2 spaces.

Introduces Hilbert operators, covering their properties, C*-algebras, and the Fourier transform's unitarity.

Covers the introduction of scattering amplitude, optical theorem, and unitary operators in quantum mechanics.

Explores unitary operators for translation and transformation in quantum mechanics.

Explores the definition and properties of the functional calculus for self-adjoint and bounded operators.

Covers the representation theory of unitary minimal models and the Virasoro algebra.

Explores the order finding algorithm, focusing on efficiently finding the period modulo N using Quantum Phase Estimation and C-U gates.

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

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

Covers the spherical Hecke algebra and finite-dimensional unitary representations.

Explores the Kirillov paradigm for the Heisenberg group and unitary representations.

Covers common emitter, common base, and common collector configurations, with an example application of cascading circuits.

Explores the Stone-von Neumann Theorem and unitary operators on Hilbert spaces.

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

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

Explores quantum state evolution, unitary operators, Heisenberg representation, spin precession, and observable averages.

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

Explains the Quantum Phase Estimation (QPE) algorithm and its complexity using two registers and SWAP gates.

Explores the Banach-Steinhaus theorem and the Closed Graph Theorem.

Covers Shor's factoring algorithm and the link between order finding and factoring.