Consider the following canonical transformation for a system with one degree of freedom: Q:Q(q, p)= q...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider the following canonical transformation for a system with one degree of freedom: Q:Q(q, p)= q cos a - p sin a P: P(q, p) = q sin a + p cos a Here a is the angle by which Q and Pis rotated in phase space from q and p. The generating function of this transformation is given by O Og 1 2 cot a Q9 cot a (9 +9) sin sin + -1 (q + 0) sin a Qq + sin a 1 +7 (q + 0) cot a 2 09 sin a - 1 (q + 0) cot a 2 Consider the following canonical transformation for a system with one degree of freedom: Q:Q(q, p)= q cos a - p sin a P: P(q, p) = q sin a + p cos a Here a is the angle by which Q and Pis rotated in phase space from q and p. The generating function of this transformation is given by O Og 1 2 cot a Q9 cot a (9 +9) sin sin + -1 (q + 0) sin a Qq + sin a 1 +7 (q + 0) cot a 2 09 sin a - 1 (q + 0) cot a 2
Expert Answer:
Related Book For
Posted Date:
Students also viewed these physics questions
-
Which of the following is not a source of illegal file-sharing? A) Movie2K B) Megaupload C) MovieWatch D) UltraViolet
-
Canonical transformations are treated in advanced textbooks on mechanics, such as Goldstein, Poole, and Safko or, more concisely, Landau and Lifshitz (1976). This exercise gives a brief introduction....
-
A Nichols chart is given in Figure E9.14 for a system with Gc(jÏ)G(jÏ)). Using the following table, find (a) the peak resonance MpÏ) in dB; (b) the resonant frequency cor; (c) the 3-dB...
-
rewrite/downside Integrity and credibility are the ethics of professional practice that Juan Gomez was lacking in this instance. Juan Gomez lacked integrity because he created a conflict of interest...
-
Superior Markets, Inc., operates three stores in a large metropolitan area. A segmented absorption costing income statement for the company for the last quarter is given below: The North Store has...
-
Describe how the majority of courts treat the existence of multiple families when making decisions about child support.
-
Claims against governmental bodies generally cannot be brought into court unless administrative procedures are followed first. Often, a notice of claim must be filed first. Assume someone is injured...
-
Texas Instruments primarily develops and manufactures semiconductors for use in technology-based products for various industries. The manufacturing process is capital-intensive and subject to...
-
Anita Fields purchased 50 bonds of ABC company at the close. Find the total cost and annual interest. Assume a commission of $6 per bond. Company (Ticker) Coupon Last Last EST $ VOL Company ABC 1.940...
-
Thunder Attractions, an amusement park, is considering a capital investment in a new exhibit. The exhibit would cost 136,000 and have an estimated useful life of 5 years. It will be sold for 60,000...
-
The profit after tax for Barstead for the year ended 30 September 2009 was $15 million. At 1 October 2008 the company had in issue 36 million equity shares and a $10 million 8% convertible loan note....
-
Name the legislations which underpin workplace and organisation policies and some procedures. ? Explain
-
Consider the following $ 1 , 0 0 0 face value bond which makes semi - annual coupon payments. Rema Bond CIBC 9 . 5 % Coupon rate Price 1 0 7 . 8 4 Maturity June 1 , 2 0 3 0 Settlement Date January 6...
-
Write a while loop to continually update this approximation (using the same formula from problem 1.1) until the relative approximate error, E = X+1 - X X is less than .00001. Use this approximation...
-
CircuitTown commenced a gift card program in January 2024 and sold $12,550 of gift cards in January, $19,900 in February, and $20,550 in March 2024 before discontinuing further gift card sales....
-
The picture mentions the the Cape Wind project in Nantucket Sound between Nantucket island, Martha's Vineyard, and Cape Cod. Although formally proposed in 2001, this project has been abandoned....
-
Workshops are one type of professional development. In addition to workshops, how can a mentor support and guide a beginning teacher's continued professional development? Provide examples. Access...
-
Anne is employed by Bradley Contracting Company. Bradley has a $1.3 million contract to build a small group of outbuildings in a national park. Anne alleges that Bradley Contracting has discriminated...
-
The first volatility-scaling procedure in Section 13.3 gives the one-day 99% VaR equal to $602,968 and the one-day 99% ES equal to $786,855. Use the spreadsheets on the authors website to calculate...
-
A fund's risk appetite is such that it wants to be 97.5% certain it will not lose more than 25% in any one year. Using the performance of the S&P 500 between 1997 and 2016 (see Table 27.2), determine...
-
What is meant by a bubble? Consider whether the increase in the price of bitcoin in 2017 is a bubble.
-
The following are cutoff values for the upper 5% of a \(t\)-distribution with either degrees of freedom 10, 50 , or 100: \(2.23,1.98\), and 2.01. Identify which value belongs to which distribution...
-
Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a...
-
Suppose that you are interested in determining whether exposure to the organochloride DDT, which has been used extensively as an insecticide for many years, is associated with breast cancer in women....
Study smarter with the SolutionInn App