Lectures related to Postulates of Quantum Mechanics

Explores linear operators, boundedness, and vector spaces with a focus on verifying bounded aspects.

Covers state vectors, Dirac notation, eigen-kets, and Hermitian operators in quantum physics.

Covers the definition of scalar product, properties, examples, and applications in Euclidean spaces, including the Cauchy-Schwartz inequality.

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Covers the description of states in quantum mechanics and their relation to probability, expectation values, and the Schrödinger equation.

Explores orthogonality, dot product properties, vector norms, and angle definitions in vector spaces.

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

Introduces function spaces and Hilbert spaces, discussing inner product spaces and the importance of completeness in Hilbert spaces.