Solutions for Quantum Principles and Particles, 2nd Edition Wilcox (All Chapters included)
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Course
Physics - General Relativity
Institution
Physics - General Relativity
Complete Solutions Manual for Quantum Principles and Particles, 2nd Edition by Walter Wilcox ; ISBN13: 9781138090378. (Full Chapters included Chapter 1 to 12)....1 Perspective and Principles
2 Particle Motion in One Dimension
3 Some One-Dimensional Solutions to the Schrödinger Equation
4 Hilber...
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
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