HW05 & Solutions - ECE 306 Homework Set#5 Spring...

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

View Full Document Right Arrow Icon
ECE 306 Homework Set #5 Spring 2005 (Due 12 noon, Wednesday, March 2, 2005) 1. A beam of non-interacting electrons propagates along the x-axis in an infinite, one-dimensional space with V(x) = 0. a. Many measurements of linear momentum and total energy are made. In 25% of the measurements an electron is found moving to the right with energy E 1 , and in 75% of the measurements an electron is found moving to the left with energy E 2 . Construct a non-normalized wave function for the electron beam, Ψ (x, t) in terms of E 1 , E 2 and fundamental constants, that will account for the stated results. b. Is Ψ (x, t) an eigen function of p x and/or H? c. Does Ψ (x, t) satisfy the time-independent Schroedinger’s equation, energy eigen- value equation, both equations or neither. Explain. d. What is the wave function of an electron after a measurement of its energy yields the result E 2 . 2. A particle of mass m, traveling along the x-axis in a region of constant potential energy has the following wave function: h h / / ) ( 2 2 0 ) , ( iEt V E m ix e e t x
Image of page 1

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

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern