To find the first derivate of Ψ ( x , 0 ) in problem 2.7(d) and express the answer in terms of step function, θ ( x − a / 2 ) , defined in Equation 2.146.

Question

Want to see the full answer?

Answer 1

Question

Chapter 2, Problem 2.39P

(a)

To determine

To find the first derivate of Ψ(x,0) in problem 2.7(d) and express the answer in terms of step function, θ(x−a/2), defined in Equation 2.146.

(b)

To determine

Use the result of Problem 2.23(b) to write the second derivative of Ψ(x,0) in terms of the delta function.

(c)

To determine

Evaluate the integral ∫Ψ(x,0)*H^Ψ(x,0)dx, and check

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

Consider the function v(1,2) =( [1s(1) 3s(2) + 3s(1) 1s(2)] [x(1) B(2) + B(1) a(2)] Which of the following statements is incorrect concerning p(1,2) ? a. W(1,2) is normalized. Ob. The function W(1,2) is symmetric with respect to the exchange of the space and the spin coordinates of the two electrons. OC. y(1,2) is an eigenfunction of the reference (or zero-order) Hamiltonian (in which the electron-electron repulsion term is ignored) of Li with eigenvalue = -5 hartree. d. The function y(1,2) is an acceptable wave function to describe the properties of one of the excited states of Lit. Oe. The function 4(1,2) is an eigenfunction of the operator S,(1,2) = S;(1) + S,(2) with eigenvalue zero.

Determine the transmission coefficient for a rectangular barrier (same as Equation 2.127, only with +Vo in the region -a Vo (note that the wave function inside the barrier is different in the three cases). Partial answer: For E

Problem 2.14 In the ground state of the harmonic oscillator, what is the probability (correct to three significant digits) of finding the particle outside the classically allowed region? Hint: Classically, the energy of an oscillator is E = (1/2) ka² = (1/2) mo²a², where a is the amplitude. So the “classically allowed region" for an oscillator of energy E extends from –/2E/mw² to +/2E/mo². Look in a math table under “Normal Distribution" or "Error Function" for the numerical value of the integral, or evaluate it by computer.

Answer 2

Question

Chapter 2, Problem 2.39P

(a)

To determine

To find the first derivate of Ψ(x,0) in problem 2.7(d) and express the answer in terms of step function, θ(x−a/2), defined in Equation 2.146.

(b)

To determine

Use the result of Problem 2.23(b) to write the second derivative of Ψ(x,0) in terms of the delta function.

(c)

To determine

Evaluate the integral ∫Ψ(x,0)*H^Ψ(x,0)dx, and check

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 2, Problem 2.39P

(a)

To determine

To find the first derivate of Ψ(x,0) in problem 2.7(d) and express the answer in terms of step function, θ(x−a/2), defined in Equation 2.146.

(b)

To determine

Use the result of Problem 2.23(b) to write the second derivative of Ψ(x,0) in terms of the delta function.

(c)

To determine

Evaluate the integral ∫Ψ(x,0)*H^Ψ(x,0)dx, and check

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 2, Problem 2.39P

(a)

To determine

To find the first derivate of Ψ(x,0) in problem 2.7(d) and express the answer in terms of step function, θ(x−a/2), defined in Equation 2.146.

(b)

To determine

Use the result of Problem 2.23(b) to write the second derivative of Ψ(x,0) in terms of the delta function.

(c)

To determine

Evaluate the integral ∫Ψ(x,0)*H^Ψ(x,0)dx, and check

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 2, Problem 2.39P

(a)

To determine

To find the first derivate of Ψ(x,0) in problem 2.7(d) and express the answer in terms of step function, θ(x−a/2), defined in Equation 2.146.

(b)

To determine

Use the result of Problem 2.23(b) to write the second derivative of Ψ(x,0) in terms of the delta function.

(c)

To determine

Evaluate the integral ∫Ψ(x,0)*H^Ψ(x,0)dx, and check

Answer 6

Chapter 2, Problem 2.39P

(a)

To determine

To find the first derivate of Ψ(x,0) in problem 2.7(d) and express the answer in terms of step function, θ(x−a/2), defined in Equation 2.146.

Answer 7

Chapter 2, Problem 2.39P

(a)

To determine

To find the first derivate of Ψ(x,0) in problem 2.7(d) and express the answer in terms of step function, θ(x−a/2), defined in Equation 2.146.

Answer 8

(b)

To determine

Use the result of Problem 2.23(b) to write the second derivative of Ψ(x,0) in terms of the delta function.

Answer 9

(b)

To determine

Use the result of Problem 2.23(b) to write the second derivative of Ψ(x,0) in terms of the delta function.

Answer 10

(c)

To determine

Evaluate the integral ∫Ψ(x,0)*H^Ψ(x,0)dx, and check

Answer 11

(c)

To determine

Evaluate the integral ∫Ψ(x,0)*H^Ψ(x,0)dx, and check

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 15

Ch. 2.1 - Prob. 2.1P Ch. 2.1 - Prob. 2.2P Ch. 2.2 - Prob. 2.3P Ch. 2.2 - Prob. 2.4P Ch. 2.2 - Prob. 2.5P Ch. 2.2 - Prob. 2.6P Ch. 2.2 - Prob. 2.7P Ch. 2.2 - Prob. 2.8P Ch. 2.2 - Prob. 2.9P Ch. 2.3 - Prob. 2.10P

To find the first derivate of Ψ ( x , 0 ) in problem 2.7(d) and express the answer in terms of step function, θ ( x − a / 2 ) , defined in Equation 2.146.

Solution Summary: The author explains how to find the first derivate of Psi and express the answer in terms of step function.

To find the first derivate of Ψ(x,0) in problem 2.7(d) and express the answer in terms of step function, θ(x−a/2), defined in Equation 2.146.

Use the result of Problem 2.23(b) to write the second derivative of Ψ(x,0) in terms of the delta function.

Evaluate the integral ∫Ψ(x,0)*H^Ψ(x,0)dx, and check

Want to see the full answer?

Chapter 2 Solutions