The potential energy for a one-dimensional harmonic oscillator is m 2 x 2 (where is
Question:
The potential energy for a one-dimensional harmonic oscillator is ½ mω2x2 (where ω is the angular frequency of its oscillation), so a classical harmonic oscillator with total energy E will oscillate back and forth between the classical turning points x = –xT and x = +xT, with xT = (2E/(mω2))1/2.
a.) Suppose the wave associated with the oscillator is a standing wave, with n half waves between the two turning points. In terms of n, what is its deBroglie wavelength, what is its (average) momentum, and what is its (average) kinetic energy?
b.) Classically, the average kinetic energy of a harmonic oscillator is half its total energy. From this and your result from part (a), find the total energy in terms of n.
Financial Reporting and Analysis Using Financial Accounting Information
ISBN: 978-1439080603
12th Edition
Authors: Charles H Gibson