Lectures related to Path Integral for Harmonic Oscillator

Explores the forced and damped harmonic oscillator, focusing on resonance and initial conditions.

Covers advanced topics in physics, focusing on oscillations and dynamics, including the harmonic oscillator and forced oscillations.

Covers the forced and damped harmonic oscillator, including the harmonic solution and resonance phenomenon.

Explores harmonic oscillators' behavior under various damping conditions, covering Newton's laws, complex numbers, and Euler's formula.

Covers the dynamics of particles in electric and magnetic fields in plasma physics.

Explores precision of higher order finite element models and applications of quadratic finite elements in elastodynamics.

Explores Hamiltonian mechanics, conservation laws, potential functions, and canonical transformations in analytical detail.

Introduces coherent states, the Ehrenfest theorem, and path integrals in quantum mechanics.

Explains the representation for evolution in quantum mechanics and the application of path integrals.

Explores the precision of finite element models and higher order asymptotic estimates.

Explores simple harmonic oscillators, Hooke's Law, equations of motion, and graphical representations.

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Covers complex numbers, derivatives, and solutions of the damped harmonic oscillator with different damping regimes.

Explores forced oscillations, resonance, and harmonic oscillators, progressing to advanced physics concepts.

Explores the dynamics of a simple pendulum and harmonic oscillator, including Hooke's Law and equations of motion.

Explores radiation pressure, optomechanical coupling, and mechanical oscillator basics in classical optomechanical systems.

Covers the proof of the recursive formula for the optimal gains in LQ control over a finite horizon.

Explores symmetric matrices, diagonalization, and quadratic forms properties.

Covers the application of Newton's laws to harmonic oscillators with damping.

Covers optimization methods without constraints, including gradient and line search in the quadratic case.