Show that ψ ( x , t ) satisfies the time dependent Schrodinger equation for the harmonic oscillator potential

Question

Want to see the full answer?

Answer 1

Question

Chapter 2, Problem 2.49P

(a)

To determine

Show that ψ(x,t) satisfies the time dependent Schrodinger equation for the harmonic oscillator potential

(b)

To determine

The function |ψ(x,t)|2 and the nature of motion of wave packet.

(c)

To determine

The expectation value of x and p.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

Harmonic oscillator eigenstates have the general form 1 μω ,1/4 μω AG)(√(-) n ħ In this formula, which part determines the number of nodes in the harmonic oscillator state? = y (x) 1 √(™ ћn 2"n! Holev 1/4 μω 1 2"n! exp(-1022²) 2ħ μω ħ 2"n! exp μω χ 2ħ 2

Show that the spherical harmonics Y2,2(θ,φ)= ((15/32π)^1/2)*sin(2θ)*e^∓2iφ and Y3,3(θ,φ)= ((35/64π)^1/2)*sin(3θ)*e^∓3iφ are normalized.

(2nx sin \1.50. 2nz Consider the case of a 3-dimensional particle-in-a-box. Given: 4 = sin(ny) sin 2.00. What is the energy of the system? O 6h?/8m O 4h²/8m O 3h2/8m O none are correct

Answer 2

Question

Chapter 2, Problem 2.49P

(a)

To determine

Show that ψ(x,t) satisfies the time dependent Schrodinger equation for the harmonic oscillator potential

(b)

To determine

The function |ψ(x,t)|2 and the nature of motion of wave packet.

(c)

To determine

The expectation value of x and p.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 2, Problem 2.49P

(a)

To determine

Show that ψ(x,t) satisfies the time dependent Schrodinger equation for the harmonic oscillator potential

(b)

To determine

The function |ψ(x,t)|2 and the nature of motion of wave packet.

(c)

To determine

The expectation value of x and p.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 2, Problem 2.49P

(a)

To determine

Show that ψ(x,t) satisfies the time dependent Schrodinger equation for the harmonic oscillator potential

(b)

To determine

The function |ψ(x,t)|2 and the nature of motion of wave packet.

(c)

To determine

The expectation value of x and p.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 2, Problem 2.49P

(a)

To determine

Show that ψ(x,t) satisfies the time dependent Schrodinger equation for the harmonic oscillator potential

(b)

To determine

The function |ψ(x,t)|2 and the nature of motion of wave packet.

(c)

To determine

The expectation value of x and p.

Answer 6

Chapter 2, Problem 2.49P

(a)

To determine

Show that ψ(x,t) satisfies the time dependent Schrodinger equation for the harmonic oscillator potential

Answer 7

Chapter 2, Problem 2.49P

(a)

To determine

Show that ψ(x,t) satisfies the time dependent Schrodinger equation for the harmonic oscillator potential

Answer 8

(b)

To determine

The function |ψ(x,t)|2 and the nature of motion of wave packet.

Answer 9

(b)

To determine

The function |ψ(x,t)|2 and the nature of motion of wave packet.

Answer 10

(c)

To determine

The expectation value of x and p.

Answer 11

(c)

To determine

The expectation value of x and p.

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

Show that ψ ( x , t ) satisfies the time dependent Schrodinger equation for the harmonic oscillator potential

Solution Summary: The author analyzes how psi satisfies the time dependent Schrodinger equation for the harmonic oscillator potential.

Show that ψ(x,t) satisfies the time dependent Schrodinger equation for the harmonic oscillator potential

The function |ψ(x,t)|2 and the nature of motion of wave packet.

The expectation value of x and p.

Want to see the full answer?

Chapter 2 Solutions