(a) Show that the wave function (x, t) = Asin(kx - t) does not satisfy the time-dependent...
Question:
(a) Show that the wave function Ψ(x, t) = Asin(kx - ωt) does not satisfy the time-dependent Schrödinger equation.
(b) Show that Ψ(x, t) = Acos(kx - ωt) + iA sin(kx - ωt) does satisfy this equation.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 63% (11 reviews)
a b xt Asinkx cot OY A...View the full answer
Answered By
PALASH JHANWAR
I am a Chartered Accountant with AIR 45 in CA - IPCC. I am a Merit Holder ( B.Com ). The following is my educational details.
PLEASE ACCESS MY RESUME FROM THE FOLLOWING LINK: https://drive.google.com/file/d/1hYR1uch-ff6MRC_cDB07K6VqY9kQ3SFL/view?usp=sharing
3.80+
3+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Physics questions
-
Show that the wave function y = eb(xvt) is a solution of the linear wave equation (Eq. 16.27), where b is a constant.
-
Show that the wave function y = In [b(x vt)] is a solution to Equation 16.27, where b is a constant.
-
The discussion in Section 39.5 shows that the wave function = e-iwt is a stationary state, where is time independent and w is a real (not complex) constant. Consider the wave function = 1e-iwt +...
-
In the context of channel-of-distribution structures, discuss the distinguishing features of the Japanese distribution structure. Now, explain why the Japanese have not embraced the U.S distribution...
-
Head-Gear Company produces helmets for bicycle racing. Currently, Head-Gear charges a price of $230 per helmet. Variable costs are $80.50 per helmet, and fixed costs are $1,255,800. The tax rate is...
-
Describe the advantages and disadvantages associated with just-in-time inventory control. LO2
-
Consider an investor with initial wealth W0 > 0 who seeks to maximize E[logWT]. Assume E T 0 |rt|dt < and E T 0 2 t dt < , where denotes the maximum Sharpe ratio. Assume portfolio processes are...
-
In 2007, Charles Riegel and his wife sued a medical device manufacturer, Medtronic. Charles had a catheter produced by Medtronic placed in his coronary artery after he suffered a heart attack....
-
On July 1, Harding Construction purchases a bulldozer for $228,000. The equipment has a 8-year life with a residual value of $16,000. Harding uses straight-line depreciation a. Calculate the...
-
For the collector-feedback configuration of Fig. 4.119, determine: (a) IB. (b) IC. (c) VC. +16 V 3.6 k 470 k p- 120 0.51 k
-
The wave function for a free electron, that is, one on which no net force acts, is given by (x) = Asin(2.5 x 10 10 x), where x is in meters. Compute the electrons (a) Momentum, (b) Total energy, and...
-
In a region of space, a particle has a wave function given by (x) = Ae -x2/2L 2 and energy 2 /2mL 2 , where L is some length. (a) Find the potential energy as a function of x, and sketch V versus...
-
The Roche limit. Some ???bodies??? in the solar system are a collection of rocks held together solely or mainly by their gravitational attraction. When such an object comes close to a planet,...
-
Encouraging you to sit back and watch a full hour of one of your favorite shows on prime-time television. However, instead of getting up during the commercial break or fast forwarding through the...
-
A family member has been recently diagnosed with a heart condition that requires replacing a heart valve. She points out that if she goes to India, the surgery cost is about 60% cheaper on average...
-
Based on the case of Bowers Machine Parts. Critically analyze why people were not doing their best and critically explain why hiring a consultant might solve the issue. Justify your answer by using...
-
Identify a few strategies for sustainability effectiveness. Should sustainability be a corporation's top priority? Why or why not? What are the challenges associated with implementing sustainable...
-
Answer the following questions for the topic you want to write about. Type your answers in a separate Word document. What is the issue or debatable idea you might write about? What is debatable about...
-
Repeat Problem 8.17 for an oil temperature of 0C. Repeat Problem Repeat Problem 8.15, except the tube is 50 mm OD 1.5 mm wall thickness. Repeat Problem SAE 30 oil (sg = 0.89) is flowing at 45 L/min...
-
Which internal control principle is especially diffi cult for small organizations to implement? Why?
-
A disoriented physics professor drives 3.25 km north, then 2.90 km west, and then 1.50 km south. Find the magnitude and direction of the resultant displacement, using the method of components. In a...
-
Vector A is 2.80 cm long and is 60.0 o above the x-axis in the first quadrant. Vector is 1.90 cm long and is below the x-axis in the fourth quadrant (Fig. E1.39). Use components to find the magnitude...
-
A rectangular piece of aluminum is 7.60 0.01 cm long and 1.90 0.01 cm wide. (a) Find the area of the rectangle and the uncertainty in the area. (b) Verify that the fractional uncertainty in the...
-
Show that the convexity for a zero coupon bond with m payments per year is (m) n(n + -)(1+ m m
-
Abdul Canarte , a Central Bank economist, noticed that the total group purchasing basket of goods (CPI) has gone from $149,740.00 to $344,460.00 in 8 years. With monthly compounding, what is the...
-
ABC Corporation expects sales next year to be $50,000,000. Inventory and accounts receivable (combined) will increase $8,000,000 to accommodate this sales level. The company has a profit margin of 6...
Study smarter with the SolutionInn App