Question

Test each function to see if it is an eigenfunction of the operator. If it is,...

Test each function to see if it is an eigenfunction of the operator. If it is, what is the eigenvalue? If it is not, can you write it as a superposition of functions (i.e. a sum of functions) that is an eigenfunction of that operator.

pˆ → i~ d dx (1)

φ1(x) = Ae−ikx φ2(x) = Ae+ikx φ2(x) = A sin kx (2)

Science   Advanced-Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In addition to NAND and NOR, find four more two-input boolean functions that are each individually...
In addition to NAND and NOR, find four more two-input boolean functions that are each individually universal. Give a logic expression for each of your functions, using AND, OR, and NOT, and prove that each of these functions is individually universal, by showing for example that you can implement AND, OR, and NOT with your function. You may use the constant values zero and one as inputs to your universal functions to implement other functions. Name your functions f1, f2,...
Use the shortcut rules to mentally calculate the derivative of the given function. HINT [See Examples...
Use the shortcut rules to mentally calculate the derivative of the given function. HINT [See Examples 1 and 2.] f(x) = 4x4 + 7x3 − 3 f '(x) = Use the shortcut rules to mentally calculate the derivative of the given function. HINT [See Examples 1 and 2.] f(x) = −x + (8/x) +1 f '(x) = Find the derivative of the function. HINT [See Examples 1 and 2.] f(x) = 8x3 − 4x2 + x f '(x) = Find...
This question is broken into 3 parts, each of which builds on the functions developed in...
This question is broken into 3 parts, each of which builds on the functions developed in the previous part. Note that you can (and should) still answer parts (b) and (c) even if you cannot answer the preceding parts - just assume that the functions work as they should, and continue. Please explain the code as well Write a C function called weighted_digit_sum that takes a single integer as input, and returns a weighted sum of that numbers digits. The...
Consider the experiment of rolling two standard (six-sided) dice and taking their sum. Assume that each...
Consider the experiment of rolling two standard (six-sided) dice and taking their sum. Assume that each die lands on each of its faces equally often. We consider the outcomes of this experiment to be the ordered pairs of numbers on the dice, and the events of interest to be the different sums. Write out the generating function F(x) for the sums of the dice, and show how it factors into the generating functions for the individual die rolls. Use F(x)...
Given: ?(?) = 8/ (4−?^2) and ?(?) = sin(?) − ?. Answer the following for each...
Given: ?(?) = 8/ (4−?^2) and ?(?) = sin(?) − ?. Answer the following for each of the functions given. (a) Find the domain (b) Find the intercept(s) (c) Find the asymoptote(s) (d) Find the possible critical and inflection numbers (e) Construct a sign table for Hint for (f(x), f'(x), and f'' (x) and show step by step (f) Find the intervals in which the function is increasing/decreasing (g) Find the intervals in which the function is concave up/down (h)...
Find the function whose derivative is given (i.e. solve each differential equation). Note: E>G. Answers: A,B,D,E,F,G...
Find the function whose derivative is given (i.e. solve each differential equation). Note: E>G. Answers: A,B,D,E,F,G a) dy/dx=6x^2. y(x)=Ax^B + C. b) du/dt=8t(t^2 + 2). u(t)=Dt^E + Ft^G + C. ans:6
1. Find the derivative of each function. Please I just need the first-two steps not the...
1. Find the derivative of each function. Please I just need the first-two steps not the full answer. Thank you! a. f(x)=6x^8 (log5(3x+1)) b.y=sin x/ 3+4sqrtx c.y=arccos(4x)+sec(5x) d.y=3^x/ 2+cscx e.y=arctan (5x)-e^6x
Answer each of the questions below. (a) Find an equation for the tangent line to the...
Answer each of the questions below. (a) Find an equation for the tangent line to the graph of y = (2x + 1)(2x 2 − x − 1) at the point where x = 1. (b) Suppose that f(x) is a function with f(130) = 46 and f 0 (130) = 1. Estimate f(125.5). (c) Use linear approximation to approximate √3 8.1 as follows. Let f(x) = √3 x. The equation of the tangent line to f(x) at x =...
Consider a consumer with the following utility function: U(X, Y ) = X1/2Y 1/2 (a) Derive...
Consider a consumer with the following utility function: U(X, Y ) = X1/2Y 1/2 (a) Derive the consumer’s marginal rate of substitution (b) Calculate the derivative of the MRS with respect to X. (c) Is the utility function homogenous in X? (d) Re-write the regular budget constraint as a function of PX , X, PY , &I. In other words, solve the equation for Y . (e) State the optimality condition that relates the marginal rate of substi- tution to...
Suppose the Utility function of the consumer is given by U = x + 5y^3 Suppose...
Suppose the Utility function of the consumer is given by U = x + 5y^3 Suppose the price of x is given by p x and the price of y is given by p y and the budget income of the consumer is given by I. Price of x, Price of y and Income are always strictly positive. Assume interior solution. a) Write the statement of the problem b) Compute the parametric expressions of the equilibrium quantity of x &...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT