The translation operator for a finite (spatial) displacement is given by where p is the momentum operator.

Question:

a. Evaluate

b. Using (a) (or otherwise), demonstrate how the expectation value 4(x) changes undertranslation.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Modern Quantum Mechanics

ISBN: 978-0201539295

Revised Edition

Authors: J.J Sakurai

See More Books

Question Posted: Apr 16, 2011 06:41 AM

See More Questions

A mapping T: R2 R2 is given by Where Show that T rotates every vector v Îµ R2 counterclockwise about the origin through angle 0. Express v using polar coordinates, And use the identities...
A model of a flexible structure is given by where n is the natural frequency of the flexible mode, and is the corresponding damping ratio. In general, it is difficult to know the structural damping...
The Maxwell-Boltzmann probability density function f(v) is given by where m (kg) is the mass of each molecule, v (m/s) is the speed, T(K) is the temperature, and k = 1.38 10-23 J/K is Boltzmann's...
Heights Academy, a private school, serves 500 students: 200 in the middle school (Grades 6 to 8) and 300 in the high school (Grades 9 to 12). Each school group has its own assistant principal, and...
An RLC circuit has a resonance frequency of 1.9 kHz. If the inductance is 0.13 mH, what is the capacitance?
The voltage waveform in Fig. 6.46 is applied across a 30-Î¼F capacitor. Draw the current waveform through it. (2) V 2 4 8 10 /12 (ms) -10
Do you agree with Spencer or Preedy, or neither? Explain why.
Use the data in Problem 4-22 and develop a regression model to predict selling price based on the square footage, number of bedrooms, and age. Use this to predict the selling price of a 10-year-old,...
4. (14 points) Two source charges are located as shown in the figure. Point P is located 2 cm directly in the +y direction from q as shown. Point P2 is above q, closer than 2 cm, but the exact...
Allstar Inc. is considering a lockbox system that would reduce its float by three days. An expected 500 collections per day will be made to the lockbox with an average payment size of $1,000. The...
a. Gottfried (1966) states that can be ?easily derived? from the fundamental commutation relations for all functions of F and G that can be expressed as power series in their arguments. Verify this...
In the main text we discussed the effect of T (dx) on the position and momentum eigenkets and on a more general state ket | >. We can also study the behavior of expectation values < x > and < p >...
As the new staff person in your companys treasury department, you have been asked to conduct research related to a proposed transfer of receivables. Your supervisor wants the authoritative sources...
2. Provide the exact value solution(s) for 2x + 13x + 3 = 0 (4)
5. For the polynomial P(x) = x - 12x + 4x + 15, two zeroes, are -1 and 3. The other two zeroes are?
Simplify. 5x - 6(x - 5y)
Fluorodeoxyglucose is a derivative of glucose that contains the radionuclide fluorine-18 (18F). A patient is given a sample of this material containing 330 MBq of 18F (a megabecquerel is a unit of...
3. Form two equations using AC, AB or BC and Hypotenuse A Adjacent side B Opposite side
As an application of the absolute continuity relationship between a BESQ and a CIR, prove that \[\begin{equation*}{ }^{k} \mathbb{Q}_{x ightarrow y}^{\delta, t}=\frac{\exp \left(-\frac{k^{2}}{2}...
Discrete sample spaces: suppose there are N cable cars in San Francisco, numbered sequentially from 1 to N. You see a cable car at random; it is numbered 203. You wish to estimate N. (See Goodman,...
Why is the correlation matrix symmetrical?
A one-dimensional simple harmonic oscillator of angular frequency is acted upon by a spatially uniform but time-dependent force (not potential) At t = -, the oscillator is known to be in the ground...
Some stars appear reddish, and others appear blue. Which of these two types of stars have the higher surface temperature? Explain.
In Compton scattering, if the photon is scattered at a angle, in which direction will the electron recoil? Why?
www The sugar cane industry is a big industry on Hawaii. Raw sugar cane is first cut from the fields, then chopped and shredded. The raw cane contains 15 wt% sucrose, 25 wt% solids, and water, along...
Keri, in forming a new corporation, transfers land to the corporation in exchange for 100 percent of the stock of the corporation. Keri's basis in the land is $295,000, and the corporation assumes a...
What does a manager who subscribes to Theory X believes ? Explain thoroughly.

The translation operator for a finite (spatial) displacement is given by where p is the momentum operator.

Question:

-ip·1 F (1) = exp [x,,F ()].

Step by Step Answer:

Modern Quantum Mechanics

Students also viewed these Modern Physics questions