Unitary operator

Related lectures (32)

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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.