Physics 443, Solutions to PS 11
1. Griths 1.9
2
For (x, t) = A exp[a( mx + it)], we need that
h
Using the known result of a Gaussian intergral
/a, we nd that:
+
2
|(x, t)| dx =
+
2
exp[ax ]dx
2am
.
h
A=
1.
=
(1)
2
The Schrdinger Equation is given by H =
Quantum Mechanics and Quantum Computation
Optional Assignment 5 Solutions
1. In this question we will work through the details of the uncertainty relation for a free particle
in 1D: consider the wave function (x, 0) = eikx . Show that it has denite veloci
Physics 3220 Quantum Mechanics 1 Fall 2007
Problem Set #3
Due Wednesday, September 19 at 2pm
Problem 3.1: Energy uncertainty of a non-stationary state. (5 points)
Consider two stationary states with wavefunctions solving the time-dependent Schrdinger
o
eq
Physics 143a: Quantum Mechanics I
Spring 2015, Harvard
Problem Set 3
Solutions
Problem 1: In the ground state of the harmonic oscillator, what is the probability of nding the particle
outside the classically allowed region?
Solution: The ground state of t