For 10 points, name this theorem of quantum mechanics that shares its name with a term describing processes in which monatomic ideal gases change such that pressure times volume to the five-thirds is constant, those with no heat transfer.
This theorem was extended to unbounded operators by Avron, Seiler, and Yaffe and to a segment of that operator's spectrum, rather than an isolated eigenvalue, by Nenciu. This theorem gives a small error term given by the exponential of negative 2pi times lambda, where lambda is a squared over h-bar times the magnitude of alpha and a is the half-distance between the unperturbed energies at the avoided crossing; that is the Lander-Zener formula and gives the probability of transitions not of this type. This theorem holds that the eigenstates of a quantum harmonic oscillator can change in time as the spring constant varies slowly. For 10 points, name this theorem of quantum mechanics that shares its name with a term describing processes in which monatomic ideal gases change such that pressure times volume to the five-thirds is constant, those with no heat transfer.
This theorem was extended to unbounded operators by Avron, Seiler, and Yaffe and to a segment of that operator's spectrum, rather than an isolated eigenvalue, by Nenciu.
{adiabatic} theorem