Influence of the adiabatic process on a quantum system demonstrated using the energy conservation principle

Abstract The adiabatic process is an old topic, which does not excite energy transitions and entropy changes in quantum systems. For undergraduate students, these two properties are easily accepted intuitively, but the general proof is complicated. Unlike ordinary textbooks, we use the principle of energy conservation in a one-dimensional infinite well to prove these properties. This paper will enable students to deepen their views on quantum mechanics and statistical physics.