Quantum Mechanics: Spectral Basis and Schrödinger Equation

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

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

Covers the basics of quantum mechanics, focusing on Hamiltonian operator and Schrödinger equations.

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

Explores distributional derivatives, continuity, boundedness of linear operators, and weak-* continuity.

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 application of linear algebra in quantum mechanics, emphasizing vector spaces, Hilbert spaces, and the spectral theorem.

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

Offers a crash course on quantum mechanics, emphasizing self-adjoint operators and quantum information.