p828aps8 - Physics 828 Problem Set VIII Dr Stroud Due...

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

View Full Document Right Arrow Icon
Physics 828: Problem Set VIII Dr. Stroud Due Wednesday, March 6,2008 by 11:59 P. M. Each problem is worth 10 pts. unless otherwise specified. 1. Shankar, exercise 18.4.2. 2. Shankar, exercise 18.4.4. 3. (20 pts.) A hydrogen atom is initially in its 1s state. A uniform electric field E cos( ωt ) is applied to the atom. Calculate the ionization rate as a function of ω . You may assume that the final states are free-particle states, and also that the proton is infinitely massive. 4. (20pts.) Time-Dependent Schr¨odinger equation, two-level sys- tem, resonant perturbation. In this problem, you will obtain a (nearly) exact solution to the time-dependent Schr¨odinger equation for a certain special case. As was discussed in class, the solution of the time-dependent Schr¨odinger equation can be written in the form | ψ ( t ) ) = summationdisplay n c n ( t ) | φ n ) , (1) where the | φ n ) are a complete orthonormal basis, and the c n ( t )’s are a set of time-dependent coefficients. Let us assume that the Hamiltonian of the system is H = H 0 + W ( t ), where H 0 is a time-independent
Image of page 1

Info iconThis 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