quiz02soln

quiz02soln - 1 Physics 316 Solution for quiz 2 Spring 2005...

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

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 Physics 316 Solution for quiz 2 Spring 2005 Cornell University I. EXERCISE 1 If you have a potential V ( x ) with V (- x ) = V ( x ) and an initial wave function Ψ( x, 0) which is not symmetric and not anti-symmetric around x = 0 . Explain why the probability distribution | Ψ( x,t ) | 2 has to be time dependent. Answer: The stationary states associated with symmetric potentials must all be either symmetric or antisymmetric. Therefore Ψ( x, 0) is not a stationary state, which means that | Ψ( x,t ) | 2 must be time dependent. II. EXERCISE 2 In the approximation that the force between two Cl atoms in Cl 2 increases linearly with the distance between them, the absorption frequencies of Cl 2 have a constant spacing, like the energy levels of a harmonic oscillator. When Δ ω 35 is that spacing for a Cl isotope with 17 protons and 18 neutrons, and Δ ω 36 is the frequency spacing for a Cl isotope with 17 protons and 19 neutrons, what is Δ ω 35 / Δ ω 36 ? Answer: The frequency spacing Δ ω is proportional to the difference between two neighboring energy levels Δ E = ¯ h Δ ω . For a harmonic oscillator Δ E = ¯ hω , where if m is the oscillator mass then ω ∝ m- 1 / 2 . The requested ratio is then Δ ω 35 / Δ ω 36 = p 36 / 35 , where we have approximated the proton and neutron masses to be equal.where we have approximated the proton and neutron masses to be equal....
View Full Document

This note was uploaded on 09/28/2008 for the course PHYS 316 taught by Professor Hoffstaetter during the Spring '05 term at Cornell.

Page1 / 2

quiz02soln - 1 Physics 316 Solution for quiz 2 Spring 2005...

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