Unitary Operators: Translation and Transformation

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

Explores the theory of bounded operators on Hilbert space, including adjoint properties and self-adjointness.

Explains specific heats in gases and degrees of freedom in molecules.

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

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

Explores the postulates of Quantum Mechanics, focusing on states, time evolution, and measurement.

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

Covers the concept of path integral in quantum physics, focusing on phase space path integral and real space path integral.

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

Explores the motivation for studying linear algebra concepts in eigenmodes of physical systems and their central role in quantum mechanics.