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Explores the importance of compatible observables in Quantum Mechanics, leading to identical final states and the concept of a Complete Set of Commuting Observables.
Explores spinorial representations of the Lorentz group and the transformation of fields under Lorentz, emphasizing a constructive approach towards spinors.
Covers the Boltzmann distribution in statistical thermodynamics, focusing on the harmonic oscillator system and analyzing state occupancy with varying temperatures.
Covers numerical solutions to Schrödinger equations, quantum Monte Carlo simulations, tensor networks, quantum algorithms, and machine-learning approaches.
Covers the density operator formalism in quantum mechanics, discussing pure and mixed states, separability conditions, and the concept of partial trace.
