ParticleinBoxEPSolnF2011

ParticleinBoxEPSolnF2011 - \Px) for the particle confined...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
ME 501 Particle in a Box Example Problem Example Problem The normalized, time-independent wave function If/(x) for a particle confined in a box between x = 0 and x = L is given by [2 . (n TrX) ~ = 1,2,3,4, . ..... . If/(x) = Vi sm T (a) Determine the probability that the particle will be found between x= 0 and x = L14 for particles in states for which nl = 1 (ground state) and nl = 3 (an excited state). Compare these results with what would be expected for a classical particle confined to the box. (b) Determine the expectation value
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: \Px) for the particle confined between x = 0 and x = L. You will need some of the following integrals: J sin 2 (ax)dx ::: __ 1 cos( ax )sin( ax) +lx 2a 2 cos 2 (ax)dx = _1 cos(ax)sin(ax)+lx J 2a 2 sin(ax)cos(ax)dx::: _1sin 2 (ax) J 2a ( <A) p -p -\ r -. I t;q 2A ,'2 c;O I 0 q () '2 I \~--------------------~--------------------------~or VI -:: 3 J ----------\ l-p ~ +-" 0 '2 loS-r L -C;O () -=, 270 c;-C /qS,SI' cCU{l; / oJ = ,'2 c;-P = T [ -::,~ COS(n:;)Si~(D-~I) + ~J h ~oO ) ------------...
View Full Document

This note was uploaded on 12/26/2011 for the course ME 501 taught by Professor Na during the Fall '10 term at Purdue University-West Lafayette.

Page1 / 3

ParticleinBoxEPSolnF2011 - \Px) for the particle confined...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online