ME501HW1F2011

ME501HW1F2011 - 1 ME 501 Homework #1 Due Friday, September...

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

View Full Document Right Arrow Icon
1 ME 501 Homework #1 Due Friday, September 16, 2011 Prof. Lucht (E-mail address: Lucht@purdue.edu ) Note: A useful table of integrals in posted on the class website. 1. Laurendeau, Problem 3.2, p. 147. 2. A particle of mass m is constrained to move along the x-axis in the region 0 x L . The normalized wavefunction for the particle is given by (,) () () s i n e x p , xt xTt L nx L i t xL x x L hn mL  F H I K F H I K   2 0 00 8 11 1 2 1 2 2 The uncertainty B in the determination of the value of a dynamical variable B is given by the square root of the variance, BB B  2 2 . For a particle with quantum number 1 3 n , determine the value of the product x p x . Is this result consistent with Heisenberg's uncertainty principle? 3. A particle confined along a line between x = 0 and x = L is in a "mixed" quantum state, i.e., a linear superposition of the eigenstates A and B with quantum numbers 1 3 A n and 1 5 B n , respectively. The normalized wavefunction x t
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.

Page1 / 2

ME501HW1F2011 - 1 ME 501 Homework #1 Due Friday, September...

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