Lectures related to Stone-von Neumann Theorem

Covers the representation theory of unitary minimal models and the Virasoro algebra.

Explores unitary operators for translation and transformation in quantum mechanics.

Covers conformal blocks and their significance in complex structures and moduli spaces.

Covers the applications of Segal's Conformal Field Theory in Hilbert spaces.

Covers singular vectors in Liouville CFT, focusing on representation theory and their implications in mathematical physics.

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

Explores the postulates of Quantum Mechanics, emphasizing the state of a system as a complex-valued vector in a Hilbert space.

Explores basis transformation, eigenvalues, and linear operators in inner product spaces, emphasizing their significance in Quantum Mechanics.

Covers the states of composite systems in Hilbert space, including operators, observables, tensor products, eigenvalues, and partial measurements.

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

Explores the addition of angular momenta in quantum mechanics and delves into Bell's Theorem.

Explores the spectral decomposition of self-adjoint operators on Hilbert spaces.

Covers the quantization of topological operators and Ising models on square lattices.

Explores spectral decomposition, essential self-adjointness, and symmetric operators in Hilbert spaces.

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

Covers the interpretation of the Lindblad equation and its unitary part in quantum gases.

Explains the postulates of quantum mechanics, including system description, evolution, measurement, composite systems, and examples with qubits.

Explores the Kirillov paradigm for the Heisenberg group and unitary representations.

Explores the application of linear algebra in Quantum Mechanics, emphasizing its importance in understanding materials properties.

Covers the fundamental concepts of quantum mechanics, focusing on Hilbert spaces and operators.