Linear Algebra Concepts: Motivation for Studying Eigenmodes in Physical Systems

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Covers Dirac's notation in linear algebra and the tensor product concept in Hilbert spaces.

Covers the introduction to Parity (P) and Time Reversal (T) symmetries in Quantum Mechanics.

Introduces Hilbert space as a big place where quantum systems evolve with unitaries.

Covers Hermitian and Unitary operators, real number equivalents, and eigenvalues.

Covers rotation matrices, orthogonal matrices, and quantum physics computations related to rotations and angular momentum.

Covers the application of linear algebra concepts to Quantum Mechanics, including spectral theorem and Brillouin zone.

Covers the application of linear algebra in quantum mechanics, focusing on states, superposition, measurements, and entangled states.

Covers linear algebra in Dirac notation, emphasizing the scalar product and density product in quantum computations.

Explores the wave-particle dualism in quantum mechanics and the quantification of energy levels in atoms.