Physics 125a
Problem Set 1, Due Wed. Oct. 7, 2015
Problem 1
Consider a four dimensional vector space over the real numbers. The vectors, |v in the space are represnted by ordered four-tuples (v1 , v2 , v3 , v4 ) of
real numbers vi , i = 1.4 . Use Gram-Sch
Physics 125ab Syllabus
1
Introduction
2
One-Particle Systems with Two States and One-Particle Systems in One Dimension
3
Quantum Mechanics in More Than One Dimension with More
Than One Particle; Identical Particles
4
Angular Momentum and Rotational Invari
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Physics 125a
Problem Set 5, Due Wed. Nov 18, 2015
Problem 1
A particle of mass m moves in one dimension under the inuence of a harmonic oscillator potential
H=
P2
m 2 2
+
X
2m
2
(1)
The particle is in the ground state. Suddenly, at time t = 0 the value of
Physics 125a
Problem Set 3, Due Wed. Oct. 21, 2015
Problem 1
Consider the two state system discussed in class where the Hamiltonian is
H = g = g1 1 + g2 2 + g3 3 . The basis vectors of the Hilbert Space
are |1 and |2 which are eigenstates of 3 with eigenv
Physics 125a
Problem Set 3, Due Wed. Nov 11, 2015
Problem 1
Find X , P , P and X for a particle of mass m in a one dimensional
harmonic oscillator, V (X) = (1/2)m 2 X 2 , in energy eigenstate |n . (In this
class our particles are always non relativistic w
Physics 125a
Problem Set 2, Due Wed. Oct. 14, 2015
Problem 1
|K 0 and |K 0 are two orthogonal states with unit norm that correspond
to the particles K 0 and K 0 . These particles decay into other particles so if
we approximate their physics as a two state