{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

pmwiki2 - January-14-12 7:43 PM Physics 3380 Quantum II...

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

View Full Document Right Arrow Icon
Physics 3380, Quantum II Assignment 2 Due: February 10 in class (not later that day ) January-14-12 7:43 PM
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
In this question you will obtain, in some detail, the complete solution to a problem that is actually a classical mechanics problem. In fact, you may well have encountered this problem in a classical mechanics course already. Nevertheless, it is important that you understand this problem thoroughly, since it not only illustrates the use of the mathematical techniques we talked about so far, but also because it illustrates the main features of the central problem in quantum mechanics. We work with the classical problem here, but the full treatment of the microscopic (i.e. the quantum) harmonic oscillator is the most important problem in modern physics, because the interactions it models show up in all sorts of physical pictures including, but not limited to, atomic physics, subatomic nuclear and particle physics, condensed matter physics, and other subject areas dealing with many-body systems. Normal mode solutions to the harmonic oscillator hamiltonian form the basis (meant in the mathematical sense of linear vector spaces) for most quantum field theories.
Image of page 2
Image of page 3
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