PHY294 2016 Homework 3 (with hints or answers)
1. Consider a Gaussian wave packet in k-space at t=0, given by: A(k) = B e
k 2 2
2
e ikx0 ; B, , x0 are constants.
(a) Fourier transform A(k) to (x), to show that the wave packet is also a Gaussian in x-spac
PHY294 2015 Homework 2 (with hints or answers)
Typos corrected Jan. 21st 2015
1. Consider the quantum 1D simple harmonic oscillator:
(a) Show that the wave function for n=1 yields an energy eigenvalue that satisfies En= (n + 12 )! 0 .
(b) Does this quantu
PHY294 2015 Homework 1
Revised Jan. 13th
1. Show that the relativistically correct relation between energy and momentum E 2 = p 2c 2 + m 2c 4
reduces to E = p 2 /2m + mc 2 as u < c, where u is the particle velocity and c the speed of light.
2. Calculate t
Family Name (Please print)
Given Name(s)
Student Number
Tutor
PHY294S 2012
TEST I (Quantum Physics)
16 February 2012
Duration: One hour
Aids allowed: Type 3 calculator (non-programmable, non-graphic and without alphanumeric storage).
Before starting, plea
Solutions to PHY294S Problem Set 4
(Dated: March 16, 2012)
* Sections 3 and 4 have been marked for a total of 20.
SECTION 1
Schroeder 1.23
Helium has only 3 degrees of freedom (translational) per molecule. Using the equipartition
theorem and the ideal gas
Solutions to Assignment # 5
Note: equations and gures referred below are in the textbook
1
1.1
11 pts
Problem 3.20[4 pts]
For the number given, the quantity B/kT is
x=
B
(9.27 10
=
kT
(1.38 10
24
J/T )(2.06T )
23 J/K )(2.2K )
= 0.629[1pt]
(1)
The hyperbol
Solutions to PHY294S Problem Set 6
(Dated: April 18, 2012)
* Sections 1 and 4 have been marked for a total of 20.
SECTION 1 [10 MARKS]
Schroeder 6.49
The rotational energy of a diatomic molecule at room temperature is kT, corresponding to
two degrees of f
UNIVERSITY OF TORONTO
FACULTY OF APPLIED SCIENCE AND ENGINEERING
FINAL EXAMINATION
Duration -' 2.5 hours
PHY294H1S - Quantum and Thermal' Physics
Calculator Type: 2 (non-programmable calculator)
Exam Type: B (Closed book examination)
Formula sheets ar
PHY 294S: Midterm Solutions
Professors: Aephraim M. Steinberg, Arun Paramekanti
(Dated: March 11, 2010)
Note: These solutions will use clever tricks wherever possible, rather than plug and chug traditional solutions.
Learning these tricks will demonstrate
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Problem Set 1 Solutions
Zaheen Sadeq
January 18, 2016
1
Problem 1
Calculate the deBroglie wavelength of an electron moving at 1/4 the speed of light. How does the kinetic
energy of this electron compare to its p2 /2m Recall, the de Broglie wavelength is: