For the harmonic oscillator ground state n = 0, the Hermite polynomial H n (x) in Equation
Question:
For the harmonic oscillator ground state n = 0, the Hermite polynomial Hn(x) in Equation 6-57 is given by H0 = 1. Find
(a) The normalization constant C0,
(b) (x2), and
(c) (V(x)) for this state.
Transcribed Image Text:
↓, (x) = C₂e-²/2 H₂ (x) 6-57
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (12 reviews)
a b c ...View the full answer
Answered By
Vineet Kumar Yadav
I am a biotech engineer and cleared jee exam 2 times and also i am a math tutor. topper comunity , chegg India, vedantu doubt expert( solving doubt for iit jee student on the online doubt solving app in live chat with student)
5.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Physics questions
-
For the harmonic oscillator [V(x) = (1/2)kx 2 ], the allowed energies are where = k/m is the classical frequency. Now suppose the spring constant increases slightly: k (1+)k. (Perhaps we cool the...
-
For the Harmonic Oscillator with m-2.0 kg, b- 8.0 kgsec, and k= 40 N/m. Solve the initial value problem where: o- 20m and sy)-0.0 mis Question 1) Copy and paste a graph of your solution to the IVP...
-
For n Z+, let Hn denote the nth harmonic number (as defined in Example 4.9). (a) For all n N prove that 1 + (n/2) (b) Prove that for all n Z+, n(n1)
-
A beam of light enters the end of an optic fiber as shown in Fig. 23-52. Show that we can guarantee total internal reflection at the side surface of the material (at point a), if the index of...
-
Salamanca produces and sells refrigerator magnets to be sold as novelty items by resorts. Last year, Salamanca sold 198,400 units. The income statement for Salamanca, Inc., for last year is as...
-
Duties of Directors and Offi cers. In 1978, David Brandt and Dean Somerville incorporated Posilock Puller, Inc. (PPI), to make and market bearing pullers. Each received half of the stock. Initially...
-
LetX be an Ornstein-Uhlenbeck process with a long-run mean of zero; that is, dX = X dt + dB for constants and . Set Y = X2. Show that dY = ( Y)dt + Y dB for constants , and . Note: The squared...
-
T. L. Jones Trucking Services establishes a petty cash fund on April 3 for$500. By the end of April, the fund has a cash balance of $32 and has receipts for the following items: Utilities...
-
The charter of a corporation provides for the issuance of 100,000 shares of common stock. Assume that 45,000 shares were originally issued and 5,000 were subsequently reacquired. What is the amount...
-
Several years ago, Ann Dennis, Jill Edwards, Lee Lacy, and Sarah Ingram formed a partnership to* operate the Deli Sisters Cafe. Rerouting of bus lines caused declines in patronage to the extent that...
-
Show directly from the time-independent Schrdinger equation that (p 2 ) = (2m[E - V(x)]) in general and that (p 2 ) = (2mE) for the infinite square well. Use this result to compute (p 2 ) for the...
-
For a finite square well potential that has six quantized levels, if a = 10 nm (a) Sketch the finite well, (b) Sketch the wave function from x = -2a to x = +2a for n = 3, and (c) Sketch the...
-
Solve each rational inequality in Exercises 4360 and graph the solution set on a real number line. Express each solution set in interval notation. x-2 x + 2 VI
-
Explain in details the reasons for your classifications. Classify the following processes as batch, continuous, or semibatch, and transient or steady- state. 1. A balloon is filled with air at a...
-
Question 5. A first responder drone of mass m slug is launched with a velocity vo ft/sec and constant engine force F from a level ground and moves vertically upward to discover a sense of life in a...
-
As part of the investigation of the collapse of the roof of a building. a testing laboratory is given all the available bolts that connected the steel structure at 3 different positions on the roof....
-
1) Baris Diary Co. has three product and divisions for production process of Milk, Yogurt and Cheese. Company's data show following resulst for 2014: Milk Yogurt Revenue 100.000TL 125.000TL Cheese...
-
Problem 11-4B (Algo) Prepare a statement of cash flows-indirect method (LO11-2, 11-3, 11-4, 11-5) The income statement, balance sheets, and additional information for Virtual Gaming Systems are...
-
Glycerin at 25C flows through a straight hydraulic copper tube, 80 mm OD 2.8 mm wall, at a flow rate of 180 L/min. Compute the pressure difference between two points 25.8 m apart if the first point...
-
Graph the following conic sections, labeling vertices, foci, directrices, and asymptotes (if they exist). Give the eccentricity of the curve. Use a graphing utility to check your work. 10 5 + 2 cos 0
-
The radius of the earths very nearly circular orbit around the sun is 1.5 10 11 m. Find the magnitude of the earths (a) Velocity, (b) Angular velocity, and (c) Centripetal acceleration as it travels...
-
The radius of the earths very nearly circular orbit around the sun is 1.5 10 11 m. Find the magnitude of the earths (a) Velocity, (b) Angular velocity, and (c) Centripetal acceleration as it travels...
-
A speck of dust on a spinning DVD has a centripetal acceleration of 20 m/s 2 . a. What is the acceleration of a different speck of dust that is twice as far from the center of the disk? b. What would...
-
Fig 1. Rolling a 4 on a D4 A four sided die (D4), shaped like a pyramid (or tetrahedron), has 4 flat surfaces opposite four corner points. A number (1, 2, 3, or 4) appears close to the edge of each...
-
I just need help with question #4 please! Thank you! Windsor Manufacturing uses MRP to schedule its production. Below is the Bill of Material (BOM) for Product A. The quantity needed of the part...
-
(25) Suppose that we have an economy consisting of two farmers, Cornelius and Wheaton, who unsurprisingly farm corn c and wheat w, respectively. Assume that both farmers produce their crop of choice...
Study smarter with the SolutionInn App