Physics Help Forum Particle in an infinite square well

 Quantum Physics Quantum Physics Help Forum

Jan 31st 2015, 10:14 AM   #1
Member

Join Date: Feb 2013
Location: Greater St. Louis area
Posts: 43
Particle in an infinite square well

A particle moving on the x axis is confined to a one-dimensional box of edge length L with one end at the origin and the other at x=L. The confining potential seen by the particle vanishes inside the box, and is infinite outside the box; the appropriate boundary condition is that ϕ(x) vanish at the edges and outside the box. Solve the energy eigenvalue equation for this system in the region inside the box to obtain a set of appropriately normalized energy eigenfunctions and eigenvalues. Are the energy eigenfunctions for this system also eigenstates of the component of the momentum operator P_x = -i h-bar partial derivative with respect to x?

I believe I have the correct solution to the energy operator, but I am not totally sure of my answer that the momentum operator is not an eigenstate of the momentum operator. Could someone please check the momentum operator part of question 7? Problem set and answer sheet are attached.

Thank you.
Attached Files
 homework2.pdf (70.1 KB, 3 views) HW2.pdf (315.5 KB, 4 views)

 Tags infinite, particle, square

 Thread Tools Display Modes Linear Mode

 Similar Physics Forum Discussions Thread Thread Starter Forum Replies Last Post mss90 Nuclear and Particle Physics 9 Nov 16th 2014 10:53 AM eberth_quezada Quantum Physics 3 Oct 9th 2011 03:44 AM BloodBaneZXY Electricity and Magnetism 2 May 3rd 2010 01:12 AM jonbrutal Atomic and Solid State Physics 1 Feb 12th 2010 10:43 AM craka Quantum Physics 2 Mar 23rd 2009 04:00 AM