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Concept

Self-adjoint operator

Related lectures (32)

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

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

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

Explores operator, density matrix, subsystems, states, and system evolution in quantum physics.

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

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

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

Explores spectral decomposition, essential self-adjointness, and symmetric operators in Hilbert spaces.

Covers the states of composite systems in Hilbert space, including operators, observables, tensor products, eigenvalues, and partial measurements.

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

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

Explores practical aspects of operator overloading in C++, emphasizing the importance of careful implementation to avoid performance issues.

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

Explores density operators in quantum physics, emphasizing their role in describing quantum system states.

Explores asymptotic states, S-matrix, and operators in quantum field theory, emphasizing the role of discrete symmetries and complete sets of states.

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

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