Question: 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

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 statement.

[x,, G(p)] = ih ap F [p., F(x)] = - ih x,

b. Evaluate [x2, p2]. Compare your result with the classical Poisson bracket [x2, P2]classical.

[x,, G(p)] = ih ap F [p., F(x)] = - ih x,

Step by Step Solution

★★★★★

3.33 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a We assume that Gp and Fx can be expressed as a power ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

28-P-M-P-Q-M (171).docx

120 KBs Word File

Students Have Also Explored These Related Modern Physics Questions!

The graphs of f and g are given. Use them to evaluate each limit, if it exists. If the limit does not exist, explain why. y= f(x y=g(x) (a) lim [f(x) + g(x)] (b) lim [f(x) + g(x)] f(x) (d) lim --i...

Use the given graphs of f and g to evaluate each expression, or explain why it is undefined. (a) f(g(2)) (b) g(f(0)) (c) (f o g) (0) (d) (g o f) (6) (e) (g o g) (-2) (f) (f o f) (4) 2. 2.

Use the graph of f and g and their tangent lines at (2, 0) to find f(x)/g(x). im yt y= 1.8(x-2) // f/ 2 0 y=5(x-2)

\fCOMPLEX VARIABLES AND APPLICATIONS Eighth Edition James Ward Brown Professor of Mathematics The University of Michigan-Dearborn Ruel V. Churchill Late Professor of Mathematics The University of...

SUMMARY this article for about 2 pages with single spacing. Thank you. ECONOMETRICS: MEASUREMENT I N ECONOMICS1 I As the first incumbent of a new Chair in this University, I thought that in this...

WRITE IT IN OWN WORDS DO NOT COPY FROM THE INTERNET! Cases about how to judge whether speech can be restricted based on how offensive and obscene it is: Miller v. California and Brown v....

The Evolving Strategy of Police: A Minority View By Hubert Williams and Patrick V. Murphy ed ~~fbg g? l!q'q . .. there is an underside to every age about which history does not often speak, because...

This section will require you to CHOOSE ONE question to answer from a selection of 4 questions which require an extended response from you. ? You may be asked to choose from questions regarding any...

If x = 60 ounces, a = 6 ounces, and n = 16, what will be the 30 control limits for the x-bar chart?

The 1st term of an AP is 59 and the 11th term is 119. Find the sum of the 1st 11 terms.

Nancys Notions pays a delivery firm to distribute its products in the metro area. Shipping costs are $30,000 per year. Nancy can buy a used truck for $10,000 that will be adequate for the next 3...

Clarita is a single taxpayer with two dependent children, ages 10 and 12. Clarita pays $3,000 in qualified child care expenses during the year. If her adjusted gross income (all from wages) for the...

Refer to the data regarding Juda Products in Exercise E26-24. Compute the IRR of each project, and use this information to identify the better investment. In Exercise 26.24 Use the NPV method to...

Explain the relationship among data mining, text mining, and sentiment analysis.

Discuss the differences and commonalities between text mining and sentiment analysis.

The current yield to maturity on a one-year Treasury bill is 2 %. You believe that the expected risk premium on stocks vs. bills equals 7.7 %. a. Estimate the expected return on the stock market next...

1. LO.2 What is meant by the term earnings and profits?

An electron is subject to a uniform, time-independent magnetic field of strength B in the positive z-direction. At t = 0 the electron is known to be in an eigenstate of S n with eigenvalue h/2,...

A particle in one dimension is trapped between two rigid walls: At t = 0 it is known to b e exactly at x = L /2 with certainty. What are the relative probabilities for the particle to be found in...

Derive the neutrino oscillation probability and use it, along with the data in Figure 2.2, to estimate the values of m 2 c 4 (in units of eV 2 ) and . Survival probability 1.0 0.8 0.6 0.4 0.2 0 - 20...

Given December 31, 2014 Liabilities and Owner's Capital " Balance Sheet (Book Values) " "Invested Capital (Market Values)" Current liabilities Accounts payable $8,250,000 Notes payable - - Other...

A loan of $25,400.00 at 5.50% compounded semi-annually is to be repaid with payments at the end of every 6 months. The loan was settled in 5 years. a. Calculate the size of the periodic payment....

1. calculate cost of goods sold sales 78500 net income 5450 inventory 12600 cost ratio 40% 2. security analysis may be conducted by a. only investors themselves b. only professional analysts c....