The average energy of an electron in a ring having m = 1 that experience a perturbation of H ′ ^ = V ( 1 − sin 6 ϕ ) is to be calculated. Concept introduction: Perturbation theory assumes that a system can be approximated as a known, solvable system. The difference between the known system and system of interest is small and additive. Thus, the Hamiltonian for the real system can be written as given below. H ^ system = H ^ ideal + H ^ perturb

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Answer 1

Question

Chapter 12, Problem 12.37E

Interpretation Introduction

Interpretation:

The average energy of an electron in a ring having m=1 that experience a perturbation of H′^=V(1−sin6ϕ) is to be calculated.

Concept introduction:

Perturbation theory assumes that a system can be approximated as a known, solvable system. The difference between the known system and system of interest is small and additive. Thus, the Hamiltonian for the real system can be written as given below.

H^system=H^ideal+H^perturb

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Answer 2

Question

Chapter 12, Problem 12.37E

Interpretation Introduction

Interpretation:

The average energy of an electron in a ring having m=1 that experience a perturbation of H′^=V(1−sin6ϕ) is to be calculated.

Concept introduction:

Perturbation theory assumes that a system can be approximated as a known, solvable system. The difference between the known system and system of interest is small and additive. Thus, the Hamiltonian for the real system can be written as given below.

H^system=H^ideal+H^perturb

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Answer 3

Question

Chapter 12, Problem 12.37E

Interpretation Introduction

Interpretation:

The average energy of an electron in a ring having m=1 that experience a perturbation of H′^=V(1−sin6ϕ) is to be calculated.

Concept introduction:

Perturbation theory assumes that a system can be approximated as a known, solvable system. The difference between the known system and system of interest is small and additive. Thus, the Hamiltonian for the real system can be written as given below.

H^system=H^ideal+H^perturb

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Answer 4

Question

Chapter 12, Problem 12.37E

Interpretation Introduction

Interpretation:

The average energy of an electron in a ring having m=1 that experience a perturbation of H′^=V(1−sin6ϕ) is to be calculated.

Concept introduction:

Perturbation theory assumes that a system can be approximated as a known, solvable system. The difference between the known system and system of interest is small and additive. Thus, the Hamiltonian for the real system can be written as given below.

H^system=H^ideal+H^perturb

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Answer 5

Chapter 12, Problem 12.37E

Interpretation Introduction

Interpretation:

The average energy of an electron in a ring having m=1 that experience a perturbation of H′^=V(1−sin6ϕ) is to be calculated.

Concept introduction:

Perturbation theory assumes that a system can be approximated as a known, solvable system. The difference between the known system and system of interest is small and additive. Thus, the Hamiltonian for the real system can be written as given below.

H^system=H^ideal+H^perturb

Answer 6

Chapter 12, Problem 12.37E

Interpretation Introduction

Interpretation:

The average energy of an electron in a ring having m=1 that experience a perturbation of H′^=V(1−sin6ϕ) is to be calculated.

Concept introduction:

Perturbation theory assumes that a system can be approximated as a known, solvable system. The difference between the known system and system of interest is small and additive. Thus, the Hamiltonian for the real system can be written as given below.

H^system=H^ideal+H^perturb

Answer 7

Chapter 12, Problem 12.37E

Interpretation Introduction

Interpretation:

The average energy of an electron in a ring having m=1 that experience a perturbation of H′^=V(1−sin6ϕ) is to be calculated.

Concept introduction:

Perturbation theory assumes that a system can be approximated as a known, solvable system. The difference between the known system and system of interest is small and additive. Thus, the Hamiltonian for the real system can be written as given below.

H^system=H^ideal+H^perturb

Answer 8

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Answer 9

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Answer 10

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Answer 11

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Solution Summary: The author explains how the average energy of an electron in a ring with m=1 is calculated using the equation for calculating energy correction.

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