Mathematical Methods in Classical and Quantum Mechanics
Adiabatic invariance refers to certain quantities in a dynamical system that remain constant when changes are made slowly compared to the system's natural timescales. This concept is crucial in understanding how systems evolve under slow perturbations, where the action variables associated with Hamiltonian mechanics are conserved. It connects with the broader principles of classical mechanics and quantum mechanics, particularly in how systems respond to gradual changes and the transitions between different states.
congrats on reading the definition of adiabatic invariance. now let's actually learn it.