Problem Set 6

Problem Set 6 - PHYSICS 230 PROBLEM SET 6 1. Consider a...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
PHYSICS 230 – PROBLEM SET 6 1. Consider a potential of the form V ( x ) = λx 2 p . Using scaling arguments calculate E n using the WKB approximation, up to an unknown integral whose answer is a constant of order one. For p = 1 do the integral and compare your answers to the exact results for the Harmonic Oscillator. Consider the limit p → ∞ . Calculate the integral in this limit. Show that in this limit V ( x ) reduces to a well known exactly soluble problem. Compare the exact answers to your WKB answers. 2. Consider a potential of the following form: V ( x ) = x 2 + A, | x | < L V ( x ) = 0 , | x | > L Compute the exponential part of the tunneling time for a particle ini-
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/01/2011 for the course MATH 171 taught by Professor R during the Spring '09 term at Stanford.

Ask a homework question - tutors are online