Harmonic OscillatorExplores the harmonic oscillator, covering energy functions, equations of motion, and operator constructions.
Molecular Dynamics and Monte CarloCovers computational methods for molecular systems at finite temperature, emphasizing stochastic sampling and time evolution simulations.
Path integrals and statistical mechanicsExplores path integral methods, partition functions, Trotter factorization, quantum-classical isomorphism, and multidimensional generalization in statistical mechanics.
Charged Particle in Magnetic FieldExplores the behavior of a charged particle in a magnetic field, covering classical and quantum aspects, gauge transformations, and spatial translations.