ME501HW2F2011 - 1 ME 501 Homework #2 Due Monday, October 3,...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
1 ME 501 Homework #2 Due Monday, October 3, 2011 Prof. Lucht (E-mail address: Lucht@purdue.edu) 1. NML, problem 3.5, p. 148. 2. The time-independent part of the wavefunction for the 3, 0 nm  state of the hydrogen atom is spherically symmetric and is given by    2 00 0 300 3/2 0 27 18 2 exp 3 ,, 81 3 1 rr r aa a R r a           The Bohr radius   22 1 0 4 / 0.52918 10 e am e m  and the electron spin is neglected. (a) Calculate the expectation value of the potential energy of the electron Vr , where 2 0 /4 e r  . [ Note: In these formulas the factor 0 is the dielectric permittivity, not an energy,   12 2 0 8.854 10 CJ m  ] . Recall that for a spherically symmetric function d  4 r 2 dr . For parts a and b: 1 0 ! nb x n n xe d x b (b) Calculate the expectation value for the momentum squared, p 2 for the electron. The operator is given by 2 2 op pp p p
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the 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 / 2

ME501HW2F2011 - 1 ME 501 Homework #2 Due Monday, October 3,...

This preview shows document pages 1 - 2. Sign up to view the full document.

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