Solution to task 666 from Chertov´s for extramural stud

Solution to task 666 from Chertov´s for extramural stud

666. Find the ratio of the average energy <εкв> of a linear one-dimensional oscillator, calculated according to the quantum theory, to the energy <εcl> of the same oscillator, calculated according to the classical theory. Perform the calculation for two temperatures: 1) T = 0.1ΘE; 2) T = ΘE, where ΘE is the characteristic Einstein temperature.