Walter Wilcox, Baylor University
Quantum Principles and
Particles: Solutions Manual
Complete Chapter Solutions Manual
are included (Ch 1 to 12)
** Immediate Download
** Swift Response
** All Chapters included
,Contents
1 Perspective and Principles 3
2 Particle Motion in One Dimension 25
3 Some One-Dimensional Solutions to the Schrödinger Equa-
tion 37
4 Hilbert Space and Unitary Transformations 55
5 Three Static Approximation Methods 69
6 Generalization to Three Dimensions 85
7 The Three-Dimensional Radial Equation 101
8 Addition of Angular Momenta 127
9 Spin and Statistics 139
10 Time-Dependent Systems 155
11 Quantum Particle Scattering 177
12 Connecting to the Standard Model 205
B Lattice Models 217
E The Ising Model and More 221
F Weak Flavor Mixing 227
G Quantum Computing 235
i
, Chapter 1
Perspective and Principles
1.1.1 The acceleration of the charged particle can be expressed as,
2
v2 (e2 /ma0 ) e2 e2 me2 me6
|~a| = = = 2 = 2
= 4
a0 a0 ma0 m ~ ~
2
2 e2 me6 2 m2 e14
p= 3 4
=
3c ~ 3 c3 ~8
E E
Now p = , so T = , and if we take
T p
e2 e2 me2 m2 e4
E= = 2
= ,
2a 2 ~ 2~2
then
me4
2 3 ~6 c3
T = 2~2 14 = .
2m e 4 me10
3 c3 ~8
Plugging in the following constants
~ = 1.05 × 10−27 erg.s
c = 3 × 1010 cm.s−1
m = 9.11 × 10−28 g
e = 4.8 × 10−10 esu
into the above equation, we get
T ≈ 4.7 × 10−11 s
The number of possible orbits is computed below. The total time of orbit is,
2
~
2π
2πa0 me2 ~3
torbit = = s = 2π 4
V e2 me
ma0
Dividing this equation by the orbital period, we get
2π~3
torbit e4 8π e6 8π 3
= 2 3 = 3 c3 ~3 = 3 α ,
T 3 ~ c
4 me10
3
Quantum Principles and
Particles: Solutions Manual
Complete Chapter Solutions Manual
are included (Ch 1 to 12)
** Immediate Download
** Swift Response
** All Chapters included
,Contents
1 Perspective and Principles 3
2 Particle Motion in One Dimension 25
3 Some One-Dimensional Solutions to the Schrödinger Equa-
tion 37
4 Hilbert Space and Unitary Transformations 55
5 Three Static Approximation Methods 69
6 Generalization to Three Dimensions 85
7 The Three-Dimensional Radial Equation 101
8 Addition of Angular Momenta 127
9 Spin and Statistics 139
10 Time-Dependent Systems 155
11 Quantum Particle Scattering 177
12 Connecting to the Standard Model 205
B Lattice Models 217
E The Ising Model and More 221
F Weak Flavor Mixing 227
G Quantum Computing 235
i
, Chapter 1
Perspective and Principles
1.1.1 The acceleration of the charged particle can be expressed as,
2
v2 (e2 /ma0 ) e2 e2 me2 me6
|~a| = = = 2 = 2
= 4
a0 a0 ma0 m ~ ~
2
2 e2 me6 2 m2 e14
p= 3 4
=
3c ~ 3 c3 ~8
E E
Now p = , so T = , and if we take
T p
e2 e2 me2 m2 e4
E= = 2
= ,
2a 2 ~ 2~2
then
me4
2 3 ~6 c3
T = 2~2 14 = .
2m e 4 me10
3 c3 ~8
Plugging in the following constants
~ = 1.05 × 10−27 erg.s
c = 3 × 1010 cm.s−1
m = 9.11 × 10−28 g
e = 4.8 × 10−10 esu
into the above equation, we get
T ≈ 4.7 × 10−11 s
The number of possible orbits is computed below. The total time of orbit is,
2
~
2π
2πa0 me2 ~3
torbit = = s = 2π 4
V e2 me
ma0
Dividing this equation by the orbital period, we get
2π~3
torbit e4 8π e6 8π 3
= 2 3 = 3 c3 ~3 = 3 α ,
T 3 ~ c
4 me10
3
