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Related lectures (32)
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Eigenvalue problem: Eigenbasis, Spectral theorem
Explores eigenvalue problems, eigenbasis, spectral theorem, and properties of normal operators.
Operator Projections: Characteristic Functions
Covers the concept of operator projections onto subspaces, focusing on characteristic functions.
Hermitian Operators and Spectral Theorem
Explores Hermitian operators, auto-adjoint properties, and spectral theorems in Hermitian spaces.
Linear Algebra: Vector Spaces & Operators
Explores vector spaces, linear transformations, matrices, eigenvalues, inner products, and operators.
Matrix Representation of Operators and Basis Transformation
Explores the matrix representation of operators and basis transformation in linear algebra.
Postulates of Quantum Mechanics
Explores the postulates of Quantum Mechanics, including states, observables, composite systems, Schrödinger equation, and entangled states.
Spectral Decomposition of Unbounded Operators
Explores the spectral decomposition of non-bounded operators and presents the spectral theorem for self-adjoint non-bounded operators.
Linear Algebra: Quantum Mechanics
Explores the application of linear algebra in Quantum Mechanics, emphasizing its importance in understanding materials properties.
Quantum Mechanics: Spectral Basis and Schrödinger Equation
Explores spectral basis, Schrödinger equation, unitary equivalence, and self-adjoint operators.
Wigner Theorem; Translation Symmetry
Explores the Wigner theorem, translation symmetry, eigenstates, and wave functions in quantum physics.