{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

assignment10

# assignment10 - Problem Set 10 Note This problem set is due...

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

Problem Set 10 Note: This problem set is due Nov 22 before midnight. Please leave it in my mailbox located at the first floor of Rutherford building. 1. Imagine I form a wavepacket for a free particle of mass m using only three plane waves of momenta k 0 , k 0 - Δ k 2 and k 0 + Δ k 2 with amplitudes proportional to 1 , 1 2 and 1 2 respectively. Find the form of the wavepacket at time t = 0. Using a reasonable defination of Δ x , show that Δ x Δ k 4 π. (1) Find also the time evolution of the system and determine the peak of the wavepacket at a time t . How will the result change if the three waves were electromagnetic? 2. A neutron is emitted from a furnace at a temperature 300 K . What is the de-Broglie wavelength of the neutron? If I want the same wavelength for an electron, how much potential difference (in volts) should I accelerate the electron through? You will find that for smaller wavelengths, we require higher energies. Therefore in some regime non- relativistic analysis can no longer hold. Can you calculate the de-Broglie wavelength of an

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

assignment10 - Problem Set 10 Note This problem set is due...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online