Question: Find the expectation value = x2||2 dx for the ground state of the harmonic oscillator. Use it to show that the average potential energy equals

Find the expectation value = ∫x2|ψ|2 dx for the ground state of the harmonic oscillator. Use it to show that the average potential energy equals half the total energy.

Step by Step Solution

★★★★★

3.45 Rating (174 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The integral Using the intergral and ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

10-P-L-O-S-E (7).docx

120 KBs Word File

Students Have Also Explored These Related Light and Optics Questions!

The configuration for the ground state of iridium is [Xe]4f145d76s2. What are the group and period for this element? Is it a main-group, a d-transition, or an f-transition element?

The radial probability density for the ground state of the hydrogen atom is a maximum when r = a, where a is the Bohr radius. Show that the average value of r, defined as Has the value 1.5a. In this...

For the ground state of the one-dimensional harmonic oscillator, find the average value of the kinetic energy and of the potential energy; verify that (T) = (V) in this case.

Jupyter Python Quantum oscillators: Consider the one-dimensional, time-independent Schrdinger equa- tion in a harmonic (i..., quadratic) potential V(x) = Vox?/d, where V and a are con- stants. (a)...

Please answer all parts if the question. Yes, this is all one problem This is all the information given 1. Give numerical answers to 6 significant digits. A classical one-dimensional (displacement...

please help me solve these questions, the teacher included the final answer in the screenshots but I want the steps for it so I can understand how they got the final answer ( that's all screenshot so...

Write a program that numerically solves the ground state energy and wavefunction of one- dimensinal Schrdinger equation for a given potential energy profile. Use "inverse power iteration" method....

Please do all letters Consider classical and quantum harmonic oscillators. When the classical harmonic oscillator is in the ground state, i.e., at rest, it sits still at the equilibrium position....

This is what was on the matlab file: %-----------------------------INSTRUCTIONS----------------------------------- % You must run se_solve_p_wells.m % Make sure that your current folder is the same...

Jupyter with Python. Random answers will be reported and investigated along with your potential dismissal so beware. Quantum oscillators: Consider the one-dimensional, time-independent Schrdinger...

Draw the flowchart for the program to calculate telephone bills if the bills are computed as follows: 1. Minimum $7.50 for the first 80 message units. 2. Plus 0.06/unit for the next 60 units. 3. Plus...

Jewel's Gems sells gold necklaces. On December 1, 2014, Jewel's had 230 necklaces in inventory at a cost of $120 each. During December, the following transactions occurred: Dec. 1 Purchased 500...

The client was to be billed monthly for an insurance policy. Would it be recurring bill category one time supplemental charge?

Identify the sections of the standard audit report for a nonpublic company.

Frank and Maureen Fantazzi invested $6,000 in a savings account paying 4% annual interest when their daughter, Angela, was born. They also deposited $1,000 on each of her birthdays until she was 18...

Terry and Jessica Benedict invested $6,000 in a savings account paying 4% annual interest when their daughter, Kristi, was born. They also deposited $1,000 on each of her birthdays until she was 18...

Ekman Company issued $1,000,000, 10-year bonds and agreed to make annual sinking fund deposits of $78,000. The deposits are made at the end of each year into an account paying 5% annual interest....

Joyce Company signed a lease for an office building for a period of 12 years. Under the lease agreement, a security deposit of $9,200 is made. The deposit will be returned at the expiration of the...

Why is customer-profitability analysis an important topic to managers?

In the middle of a long solenoid there is a coaxial ring of square cross-section, made of conducting material with resistivity p. The thickness of the ring is equal to h, its inside and outside radii...

How many meters of a thin wire are required to manufacture a solenoid of length 10 = 100 cm and inductance L = 1.0 mH if the solenoid's cross-sectional diameter is considerably less than its length?

Find the inductance of a solenoid of length l whose winding is made of copper wire of mass m. The winding resistance is equal to R. The solenoid diameter is considerably less than its length.

HELPPLZ each year for 10 years. How much money should you plan to deposit in your retirement each year? Instead of using Solver, use PV and PMT to solve for annual deposit:...

A B D E F E17-2 (LO 1, 2, 4) Weighted Average Number of Shares Gogeon Inc. is publicly traded and uses a calendar year for financial reporting. The company is authorized to issue 50 million common...

2. Asuma que las transacciones del mes de noviembre, para KAT. Co., son las siguientes \begin{tabular}{|l|l|l|} \hline & a. & Recibi efectivo por $60,000 de los inversionistas a cambio de acciones...