Quantum Theory: Canonical Approach

Related lectures (31)

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Covers the representation of signals using Fourier transforms and the properties of signal vectors.

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

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

Explores Ewald summation for electrostatic Coulomb energy in periodic systems, emphasizing the importance of Gaussian screening charges.

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

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

Offers a crash course on quantum bit systems and measurement processes.

Discusses measurement in Quantum Mechanics, focusing on state vectors, observables, eigenvalues, and probabilities.

Covers the canonical approach to quantum theory, focusing on Lagrangian mechanics and equations of motion.

Explores Fourier analysis applications and the inversion formula in the context of periodicity and continuous functions.