Question: Show that for any two (normalizable) solutions to the Schrdinger equation (with the same V (x) ), 1 and 2 . P dx

Show that

P dx 4 42 dx = 0 -8 iPfor any two (normalizable) solutions to the Schrödinger equation (with the same V (x) ), Ψ1 and Ψ2.

P dx 4 42 dx = 0 -8 iP

Step by Step Solution

★★★★★

3.44 Rating (173 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Use Eqs 123 and 124 and integration ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

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

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Introduction To Quantum Mechanics Questions!

Q:

The values of line integral [[(3xy+ 2xy) dx + (x + x) dy] from M(0,0) to N(1,1) along the paths C: y=x and C: y=x are respectively. 2 and -1 3 and 3 -1 and 3 2 and 2

Q:

Determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis. Given: F1 = 80 lb F2 = 60 lb θ = 120 deg 2

Q:

Compute the pseudo inverse of A. 3 A = | 3 1 2 2

Q:

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....

Q:

SOLVE Questions 1-5: PLEASE AND THANK YOU 1: What is the difference between homogenous and non-homogenous differential equation? Write an example for each and solve it. 2: What is the main formula to...

Q:

Suppose (a) Solve the (time-independent) Schrdinger equation for this potential. by letting z x and y(z) (1/) (x) (the a is just so y (z) is normalized with respect to z when (x) is normalized...

Q:

1) Find all real solutions of: 4 2 2 x + x =3 2 x 4 + x23=0 4 2 2 2 x 2 x +3 x 3=0 x ( 21)=0 2 x 2 ( x 21)+ 3 ( 2 x2 +3 ) ( x 21 ) =0 ( 2 x2 +3 ) =0 2 2 x =3 3 x 2= 2 3 x= 2 3 x= i 2 2) Given the...

Q:

3 Systems of differential equations Theorem 3. Any n linearly independent vectors in an n dimensional space V must also span V. That is to say, any n linearly independent vectors in an n dimensional...

Q:

In this problem you will show that the number of nodes of the stationary states of a one-dimensional potential always increases with energy. Consider two (real, normalized) solutions ( n and m ) to...

Q:

3 Systems of differential equations Theorem 3. Any n linearly independent vectors in an n dimensional space V must also span V. That is to say, any n linearly independent vectors in an n dimensional...

Q:

An alpha particle (q = +2e, m = 4.00 u) travels in a circular path of radius 4.50 cm in a uniform magnetic field with B = 1.20 T. Calculate (a) Its speed, (b) Its period of revolution, (c) Its...

Q:

Write entries in general journal form to record the following transactions for Ballard Company, whose fiscal year ends on December 31: Year 1 Dec. 3 Ballard Company received from RJB Services an $...

Q:

High pollers Hedge Fund has a standard it 5 percent performance fee. if High Dollers weve able to ralse $ 1 4 million and generate a 1 5 5 percent return in is first year of eperation, what would be...

Q:

The NPD Group recently released its annual U.S. Video Game Industry Retail Sales Report. The report contained the NPD Groups selection of the top 10 video games based on units sold. The top-selling...

Q:

Describe how you would prepare approximately 2 L of 0.050 0 m boric acid, B(OH) 3 .

Q:

What is the true mass of water if the measured mass in the atmosphere is 5.397 4 g? When you look up the density of water, assume that the lab temperature is (a) 15C (b) 25C. Take the density of air...

Q:

A sample of ferric oxide (Fe 2 O 3 , density = 5.24 g/mL) obtained from ignition of a gravimetric precipitate weighed 0.296 1 g in the atmosphere. What is the true mass in vacuum?

Q:

Hello would you please answer the following professionally Southwest Airlines. a. Trend in EPS below is the previous three years worth of EPS data please discuss whether the company seems to show a...

Q:

The most widely used calculated measure of interest rate in bond markets is the a. coupon rate. b. discount rate. c. yield to maturity. d. current yield

Q:

hi, i need help on question c to e re = 3%. Consider a market described by the table below: Stock A B Price 42 40 120 Issued Stocks 1,000 1,200 500 Covariance with M 0.0657 0.0793 0.0406 Assume that...