The eigenvectors and eigenvalues of the unperturbed Hamiltonian ( ε = 0 ) .

Question

Want to see the full answer?

Answer 1

Question

Chapter 7.2, Problem 7.12P

(a)

To determine

The eigenvectors and eigenvalues of the unperturbed Hamiltonian (ε=0).

(b)

To determine

The exact eigenvalues of H and expand each of them as a power series in ε up to the second order.

(c)

To determine

The approximate eigenvalue for the state that grows out of the nondegenerate eigenvector of H0 using first- and second-order non-degenerate perturbation theory and compare it to the exact result from part (b).

(d)

To determine

The first-order correction to the two initially degenerate eigenvalues using degenerate perturbation theory.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

Please solve and answer this problem correctly please. Thank you!!

a) Use the node-voltage method to find v1, v2, and v3 in the circuit in Fig. P4.14. b) How much power does the 40 V voltage source deliver to the circuit? Figure P4.14 302 202 w w + + + 40 V V1 80 Ω 02 ΣΑΩ 28 A V3 + w w 102 202

Answer 2

Question

Chapter 7.2, Problem 7.12P

(a)

To determine

The eigenvectors and eigenvalues of the unperturbed Hamiltonian (ε=0).

(b)

To determine

The exact eigenvalues of H and expand each of them as a power series in ε up to the second order.

(c)

To determine

The approximate eigenvalue for the state that grows out of the nondegenerate eigenvector of H0 using first- and second-order non-degenerate perturbation theory and compare it to the exact result from part (b).

(d)

To determine

The first-order correction to the two initially degenerate eigenvalues using degenerate perturbation theory.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 7.2, Problem 7.12P

(a)

To determine

The eigenvectors and eigenvalues of the unperturbed Hamiltonian (ε=0).

(b)

To determine

The exact eigenvalues of H and expand each of them as a power series in ε up to the second order.

(c)

To determine

The approximate eigenvalue for the state that grows out of the nondegenerate eigenvector of H0 using first- and second-order non-degenerate perturbation theory and compare it to the exact result from part (b).

(d)

To determine

The first-order correction to the two initially degenerate eigenvalues using degenerate perturbation theory.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 7.2, Problem 7.12P

(a)

To determine

The eigenvectors and eigenvalues of the unperturbed Hamiltonian (ε=0).

(b)

To determine

The exact eigenvalues of H and expand each of them as a power series in ε up to the second order.

(c)

To determine

The approximate eigenvalue for the state that grows out of the nondegenerate eigenvector of H0 using first- and second-order non-degenerate perturbation theory and compare it to the exact result from part (b).

(d)

To determine

The first-order correction to the two initially degenerate eigenvalues using degenerate perturbation theory.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 7.2, Problem 7.12P

(a)

To determine

The eigenvectors and eigenvalues of the unperturbed Hamiltonian (ε=0).

(b)

To determine

The exact eigenvalues of H and expand each of them as a power series in ε up to the second order.

(c)

To determine

The approximate eigenvalue for the state that grows out of the nondegenerate eigenvector of H0 using first- and second-order non-degenerate perturbation theory and compare it to the exact result from part (b).

(d)

To determine

The first-order correction to the two initially degenerate eigenvalues using degenerate perturbation theory.

Answer 6

Chapter 7.2, Problem 7.12P

(a)

To determine

The eigenvectors and eigenvalues of the unperturbed Hamiltonian (ε=0).

Answer 7

Chapter 7.2, Problem 7.12P

(a)

To determine

The eigenvectors and eigenvalues of the unperturbed Hamiltonian (ε=0).

Answer 8

(b)

To determine

The exact eigenvalues of H and expand each of them as a power series in ε up to the second order.

Answer 9

(b)

To determine

The exact eigenvalues of H and expand each of them as a power series in ε up to the second order.

Answer 10

(c)

To determine

The approximate eigenvalue for the state that grows out of the nondegenerate eigenvector of H0 using first- and second-order non-degenerate perturbation theory and compare it to the exact result from part (b).

Answer 11

(c)

To determine

The approximate eigenvalue for the state that grows out of the nondegenerate eigenvector of H0 using first- and second-order non-degenerate perturbation theory and compare it to the exact result from part (b).

Answer 12

(d)

To determine

The first-order correction to the two initially degenerate eigenvalues using degenerate perturbation theory.

Answer 13

(d)

To determine

The first-order correction to the two initially degenerate eigenvalues using degenerate perturbation theory.

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 17

Ch. 7.1 - Prob. 7.1P Ch. 7.1 - Prob. 7.2P Ch. 7.1 - Prob. 7.3P Ch. 7.1 - Prob. 7.4P Ch. 7.1 - Prob. 7.5P Ch. 7.1 - Prob. 7.6P Ch. 7.2 - Prob. 7.8P Ch. 7.2 - Prob. 7.9P Ch. 7.2 - Prob. 7.10P Ch. 7.2 - Prob. 7.11P

The eigenvectors and eigenvalues of the unperturbed Hamiltonian ( ε = 0 ) .

The eigenvectors and eigenvalues of the unperturbed Hamiltonian (ε=0).

The exact eigenvalues of H and expand each of them as a power series in ε up to the second order.

The approximate eigenvalue for the state that grows out of the nondegenerate eigenvector of H0 using first- and second-order non-degenerate perturbation theory and compare it to the exact result from part (b).

The first-order correction to the two initially degenerate eigenvalues using degenerate perturbation theory.

Want to see the full answer?

Chapter 7 Solutions