28
Chapter?
for a particle in a one-dimensional box. For simplicity. let a = 1, which amounts to measuring all
distances in units of a. Show that
112 1
HI] = a S11 = E
s2 1
H12=H21= 312=Szl=m
h: 1
III. Classical Field Theory and Canonical Quantization
Hamilton’s Principle and the Euler—Lagrange Equations
Noether’s Theorem and Symmetries
Poincare Symmetries
Space—Time Translations: Canonical Ene
I. Special Relativity, Quantum Mechanics and Their Compatibility
Review of Special Relativity
Postulates of Quantum Theory
The Need for Particle Number Changing Interactions
and Anti—Particles
12 I. S
226 Owner?
Again we use Equation 7.4? and substitute the parameters found in Problem 720(b):
AB = f wmmwmdt
25
=( )f; dxsinzf
(2 bx) . 271x"
= sm
1; 2 411: a
=(%) we
32
723. Using the result of Pr
42
Elmer?
4
. . . mes
Theretore,m umts of W.
53 272
Minimizing [3(2), we nd
:13 27
. = = 22 _ _ _
dz 0 mm 8
27
Z . =
m' 16
2
E.=() _()
'" 16 816
27 3
= =2.s477
(15)
in units of meg/163128352. The val
Approximation Methods
1!. The natural reference system to use is that of a hydrogen atom in the absence of an electric
eld. We then have
Hm)
e. The natural reference system is that of a rigid rota
234 Chapter 7
Region 2 (a 4: x at: a):
7:2 day:
_ = E
2111 dx2 1:
ME 2
1920:) = Csinax +Doosax a =( F12 )
Regionm <1: cfw_00):
hi dzwp
_ (ix: + lbw; = El":
3 _ ; 2m(E V) 2
As explained in the pr
mimetion Hana-D5
The general solution to this equation is
110-] = Acosar+Bsinar
01'
A cos air B sin m-
+
Mr) =
I"
where a: = ems/s2). Which of these terms is nite at r = 0? Now use the fact that 1
PHYSICS 662
Problem Set 1
Due in class: Tuesday, September 15, 2015
PRINT NAME:
Problem 1)
/20 points
Problem 2)
/20 points
TOTAL:
/40 points
1
1. The conformal group is that subgroup of general coord