Chem 113A Problem Set 2
Due Wednesday 10/14/2015 at the beginning of lecture. Problems #6 and 7 will not
be graded.
1.) De Broglie Wavelength
Wouldnt it be nice if humans had observable wave properties? If we
Chem 113A Problem Set 4
Due Tuesday 10/27/2015 at the beginning of discussion. Problem #6 and #7 will not
be graded.
1.) Proving the Heisenberg Uncertainty Principle Using Commutators
An uncertainty relation exists
Problem Set I
Chem 113A, Fall Quarter 2015
Due October 7, 2015
1
Complex Numbers
a.) Show that:
|2
1 =
The real (Re) and imaginary (Im) operators are dened as:
1
( )
2i
1
Re() = ( + )
2
Im() =
b.) Given that 1 = 5 2i and 2 = x + iy, show the rst two rela
Problem Set III
Chem 113A, Fall Quarter 2015
Due October 20, 2015, at the beginning of class
1
Operators
d
Operators are often denoted by a caret, such as in O. For example, A = dx is
an operator that dierentiates whatever comes after it and B = x multipl