{qi, 9j} = 0 {Pi, Pj} = 0 {qi, Pj} = Sij Q1 Q2 {Q₁, Q₂} = ǝQ₁ƏQ - Q ax OF JQ z ap ox Q = P OP 2 - Q₂ = H H= = p² 2m ~{P,H}= u(x). ** S du ӘН OP ЭРЭН OP Ox 1 du/dx Force! 713 dx dP dt R .

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter14: Special Theory Of Relativity
Section: Chapter Questions
Problem 14.1P
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Poisson brackets in quantum mechanics:

- How does dp/dx = 0

- Prove each statement in the red box

{qi, 9j} = 0
{Pi, Pj} = 0
{qi, Pj} = Sij
Transcribed Image Text:{qi, 9j} = 0 {Pi, Pj} = 0 {qi, Pj} = Sij
Q1 Q2
{Q₁, Q₂} = ǝQ₁ƏQ - Q
ax OF
JQ z
ap ox
Q = P OP 2 -
Q₂ = H
H=
= p²
2m
~{P,H}=
u(x).
**
S
du
ӘН
OP
ЭРЭН
OP Ox
1 du/dx
Force!
713
dx
dP
dt
R
.
Transcribed Image Text:Q1 Q2 {Q₁, Q₂} = ǝQ₁ƏQ - Q ax OF JQ z ap ox Q = P OP 2 - Q₂ = H H= = p² 2m ~{P,H}= u(x). ** S du ӘН OP ЭРЭН OP Ox 1 du/dx Force! 713 dx dP dt R .
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