H 1 2m* Dot states in a magnetic field ·(P + eA)² + ½ m² w² (x² + y² ) + 8° HBB.S (p h Zeeman splitting of the spin states The symmetric gauge: B = Ba₂ A = (-By, Bx, 0)/2 (p+eA)²=- h² 82 a² + ihe B a a 1e2 B2 -(x²+ y²) 2m 2m ax2 y2, 2m* ax 4 2m* eBL₂/2m* MB H = [ -2²² + m² 2² (x² + y²)] + ½ L + 8BBS, 2m* D2 ½ = Ha + ½ L + 1 B BS₁ h Ω = + W₁ = eB/m* Wc Exercise 7: Derive all of these equations.
H 1 2m* Dot states in a magnetic field ·(P + eA)² + ½ m² w² (x² + y² ) + 8° HBB.S (p h Zeeman splitting of the spin states The symmetric gauge: B = Ba₂ A = (-By, Bx, 0)/2 (p+eA)²=- h² 82 a² + ihe B a a 1e2 B2 -(x²+ y²) 2m 2m ax2 y2, 2m* ax 4 2m* eBL₂/2m* MB H = [ -2²² + m² 2² (x² + y²)] + ½ L + 8BBS, 2m* D2 ½ = Ha + ½ L + 1 B BS₁ h Ω = + W₁ = eB/m* Wc Exercise 7: Derive all of these equations.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 10RE
Question
![H
1
2m*
Dot states in a magnetic field
·(P + eA)² + ½ m² w² (x² + y² ) + 8° HBB.S
(p
h
Zeeman splitting
of the spin states
The symmetric gauge: B = Ba₂
A = (-By, Bx, 0)/2
(p+eA)²=-
h² 82 a²
+
ihe B
a
a
1e2 B2
-(x²+ y²)
2m
2m ax2 y2,
2m*
ax
4 2m*
eBL₂/2m*
MB
H = [ -2²² + m² 2² (x² + y²)] + ½ L + 8BBS,
2m*
D2 ½
= Ha + ½ L +
1
B BS₁
h
Ω = +
W₁ = eB/m*
Wc
Exercise 7: Derive all of these equations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ce7ad66-bf55-470c-b360-948d5273450d%2Fa1badd3d-c2cc-4f0b-afcd-28023b9e36f0%2F104ouws_processed.jpeg&w=3840&q=75)
Transcribed Image Text:H
1
2m*
Dot states in a magnetic field
·(P + eA)² + ½ m² w² (x² + y² ) + 8° HBB.S
(p
h
Zeeman splitting
of the spin states
The symmetric gauge: B = Ba₂
A = (-By, Bx, 0)/2
(p+eA)²=-
h² 82 a²
+
ihe B
a
a
1e2 B2
-(x²+ y²)
2m
2m ax2 y2,
2m*
ax
4 2m*
eBL₂/2m*
MB
H = [ -2²² + m² 2² (x² + y²)] + ½ L + 8BBS,
2m*
D2 ½
= Ha + ½ L +
1
B BS₁
h
Ω = +
W₁ = eB/m*
Wc
Exercise 7: Derive all of these equations.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL