Is the function e -ay2/2 an eigenfunction of the operator d 2 /dy 2 a 2
Question:
Is the function e-ay2/2 an eigenfunction of the operator d2 /dy2 − a2 y2? If so, what is the eigenvalue?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 25% (8 reviews)
Eigenfunction with ...View the full answer
Answered By
Bhartendu Goyal
Professional, Experienced, and Expert tutor who will provide speedy and to-the-point solutions. I have been teaching students for 5 years now in different subjects and it's truly been one of the most rewarding experiences of my life. I have also done one-to-one tutoring with 100+ students and help them achieve great subject knowledge. I have expertise in computer subjects like C++, C, Java, and Python programming and other computer Science related fields. Many of my student's parents message me that your lessons improved their children's grades and this is the best only thing you want as a tea...
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Sciences questions
-
Cos x an eigenfunction of the operator A if A f (x) = xf (x)?
-
Is the function 2x 2 1 an eigenfunction of the operator (3/2 x 2 ) (d 2 /dx 2 ) + 2x (d /dx)? If so, what is the eigenvalue?
-
Find the result of operating with d 2 /dx 2 2x 2 on the function 2 e ax2 . What must the value of a be to make this function an eigenfunction of the operator? What is the eigenvalue?
-
Sam's Furniture uses variance analysis to evaluate manufacturing overhead in its' factory. The information for the June overhead expenditures is as follows: Budgeted output units 22,000...
-
Winslow Enterprises has total assets of $11,700, net working capital of $1,400, owner's equity of $5,000 and long-term debt of $3,500. What is the value of the current assets? a. $7,200 b. $1,800 c....
-
If the horizontal clamping force that the toggle clamp exerts on the smooth wooden block at E is NE = 200 N, determine the force applied to the handle of theclamp. 60 mm 50 mm 160 mm 75 mm
-
A wire \(0.70 \mathrm{~m}\) long carries a current of \(1.4 \mathrm{~A}\). The wire is at an angle of \(53^{\circ}\) to a uniform external magnetic field. If the magnitude of the force the field...
-
Assume that RK Tire Store completed the following perpetual inventory transactions for a line of tires: May 1Beginning merchandise inventory....24 tires @ $ 61 each 11 Purchase................ 6...
-
23. A convex mirror used for rear view on an automobile has a radius of curvature of 3m. If a bus is located at 5m from this mirror, find the position, nature and magnification of the image. 24. An...
-
Consider the Rolex watch, which has a retail price range starting at about $4,500 for a stainless steel model to tens of thousands of dollars for a solid-gold model. How might the Rolex company use...
-
To plot Ψ(x, t) = Asin (kx Ït) as a function of one of the variables x and t, the other variable needs to be set at a fixed value, x 0 or t 0 . If Ψ(x 0 , 0) / Ψ...
-
1. Consider the Data Set BONEDEN.DAT at www.cengagebrain.com. Calculate the difference in bone density of the lumbar spine (g/cm 2 ) between the heavier-smoking twin and the lighter-smoking twin...
-
The purpose of Schedule M-1 on the corporate tax return is to: a. Reconcile accounting (book) income to taxable income. b. Summarize the dividends received deduction calculation. c. List the officers...
-
In the following network, node S transmits packets that pass through a network of 16 routers, and arrive at the destination D. The bit rate of all links is R = 10 Mbit/sec. The packet size is 100...
-
Collaboration in educational institutions usually involves cooperation among students, faculties, sponsors, and universities. Unlike the corporate world, higher education institutions have generally...
-
How innovation is related to technology? Why people interpret innovation differently?
-
A team from the marketing department has been assembled to determine the best way to introduce a new product to the market. This team is considered to be a ________ . a. committee b. cross-...
-
Briefly discuss what steps should be taken by a broker to maintain productive communication with a vendor? Explain
-
How do you calculate the future value of a cash flow stream?
-
Identify one local business that uses a perpetual inventory system and another that uses a periodic system. Interview an individual in each organization who is familiar with the inventory system and...
-
Assume that air consists of N 2 molecules with a collision diameter of 395 pm. Calculate (i) The mean speed of the molecules, (ii) The mean free path, (iii) The collision frequency in air at 1.0 atm...
-
Explain how the van der Waals equation accounts for critical behaviour.
-
(a) Calculate the most probable speed, the mean speed, and the mean relative speed of CO 2 molecules in air at 20 C. (b) Calculate the most probable speed, the mean speed, and the mean relative speed...
-
LaToya Limmons is the manager of the Human Resources (HR) department and Javier Jartin is the manager of the sales department for a production company headquartered in the United States but also has...
-
The beam AD is fixed to a rigid wall at A and is supported by props at B and C as shown in figure 1. In sections AB and BC, the flexural rigidity is EI, but in section CD the flexural rigidity is...
-
What is the meaning of 'framing' and how does it impact the way we negotiate? (Your own opinion)
Study smarter with the SolutionInn App