The allowed energies E n of an infinite square well with a “shelf,” of height V 0 , extending half-way across V ( x ) = { V 0 ( 0 < x < a / 2 ) 0 ( a / 2 < x < a ) ∞ ( otherwise ) using WKB approximation. And compare the result with result from Section 7.1.2 using first-order perturbation theory.

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Answer 1

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Chapter 9.1, Problem 9.1P

To determine

The allowed energies En of an infinite square well with a “shelf,” of height V0, extending half-way across V(x)={V0(0<x<a/2)0(a/2<x<a)∞(otherwise) using WKB approximation. And compare the result with result from Section 7.1.2 using first-order perturbation theory.

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Answer 2

Question

Chapter 9.1, Problem 9.1P

To determine

The allowed energies En of an infinite square well with a “shelf,” of height V0, extending half-way across V(x)={V0(0<x<a/2)0(a/2<x<a)∞(otherwise) using WKB approximation. And compare the result with result from Section 7.1.2 using first-order perturbation theory.

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Answer 3

Question

Chapter 9.1, Problem 9.1P

To determine

The allowed energies En of an infinite square well with a “shelf,” of height V0, extending half-way across V(x)={V0(0<x<a/2)0(a/2<x<a)∞(otherwise) using WKB approximation. And compare the result with result from Section 7.1.2 using first-order perturbation theory.

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Answer 4

Question

Chapter 9.1, Problem 9.1P

To determine

The allowed energies En of an infinite square well with a “shelf,” of height V0, extending half-way across V(x)={V0(0<x<a/2)0(a/2<x<a)∞(otherwise) using WKB approximation. And compare the result with result from Section 7.1.2 using first-order perturbation theory.

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Answer 5

Chapter 9.1, Problem 9.1P

To determine

The allowed energies En of an infinite square well with a “shelf,” of height V0, extending half-way across V(x)={V0(0<x<a/2)0(a/2<x<a)∞(otherwise) using WKB approximation. And compare the result with result from Section 7.1.2 using first-order perturbation theory.

Answer 6

Chapter 9.1, Problem 9.1P

To determine

The allowed energies En of an infinite square well with a “shelf,” of height V0, extending half-way across V(x)={V0(0<x<a/2)0(a/2<x<a)∞(otherwise) using WKB approximation. And compare the result with result from Section 7.1.2 using first-order perturbation theory.

Answer 7

Chapter 9.1, Problem 9.1P

To determine

The allowed energies En of an infinite square well with a “shelf,” of height V0, extending half-way across V(x)={V0(0<x<a/2)0(a/2<x<a)∞(otherwise) using WKB approximation. And compare the result with result from Section 7.1.2 using first-order perturbation theory.

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 9.1 - Prob. 9.1P Ch. 9.1 - Prob. 9.2P Ch. 9.2 - Prob. 9.3P Ch. 9.2 - Prob. 9.4P Ch. 9.2 - Prob. 9.5P Ch. 9.3 - Prob. 9.6P Ch. 9.3 - Prob. 9.7P Ch. 9.3 - Prob. 9.8P Ch. 9.3 - Prob. 9.9P Ch. 9.3 - Prob. 9.10P

The allowed energies En of an infinite square well with a “shelf,” of height V0, extending half-way across V(x)={V0(0<x<a/2)0(a/2<x<a)∞(otherwise) using WKB approximation. And compare the result with result from Section 7.1.2 using first-order perturbation theory.

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Chapter 9 Solutions