Prove the anticommutativity and distributivity of Poisson brackets by showing that (a) ({A, B}_{mathrm{q}, mathrm{p}}=-{B, A}_{mathrm{q}, mathrm{p}})

Question:

Prove the anticommutativity and distributivity of Poisson brackets by showing that

(a) $\{A, B\}_{\mathrm{q}, \mathrm{p}}=-\{B, A\}_{\mathrm{q}, \mathrm{p}}$

(b) $\{A, B+C\}_{\mathrm{q}, \mathrm{p}}=\{A, B\}_{\mathrm{q}, \mathrm{p}}+\{A, C\}_{\mathrm{q}, \mathrm{p}}$.

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

Step by Step Answer:

Related Book For book-img-for-question

Modern Classical Mechanics

ISBN: 9781108834971

1st Edition

Authors: T. M. Helliwell, V. V. Sahakian

See More Books

Question Posted: Mar 21, 2024 12:01 AM

See More Questions

In Problem find a standard form for the absorbing Markov chain with the indicated transition diagram. A B C
In Problem find a standard form for the absorbing Markov chain with the indicated transition diagram. A B C
A celebrated Mark Twain story has motivated contestants in the Calaveras County Jumping Frog Jubilee, where frog jumps as long as2.20 m have been recorded. If a frog jumps 2.20 m and the launch angle...
Solve each system using the substitution method. If a system is inconsistent or has dependent equations, say so. -5x + 2y = -2 x + 6y = 26
1. In what sense is there oligopolistic interdependence in the basic dominant-firm model, in which there truly is just one single dominant firm? Explain your reasoning. 2. If a dominant firm cannot...
What is meant by the term service potential? pg58
What elements are considered in an analysis of external factors affecting marketing? In an analysis of internal factors?
What are some positive and negative reinforcements that you have experienced either at school or work? How did these affect your behavior?
the pawn shop adds 2% to loan balances for every 2 weeks a loan is outstanding. what is the effective annual rate of interest?
Show that Hamilton's equations of motion can be written in terms of Poisson brackets as \[\dot{q}=\{q, H\}_{\mathrm{q}, \mathrm{p}}, \quad \dot{p}=\{p, H\}_{\mathrm{q}, \mathrm{p}}\]
Show that the Poisson bracket of two constants of the motion is itself a constant of the motion, even when the constants depend explicitly on time.
On January 15, 2011, the U.S. Treasury issued a 10-year inflation-indexed note with a coupon of 1.125%. On the date of issue, the consumer price index (CPI) was 220.223. On January 15, 2019, the CPI...
The Penguin Textile Company sells shirts for men and boys. Results for January 2 0 2 3 are summarized below. Men's Boy's Total Revenue $ 1 7 2 , 8 0 0 $ 7 2 , 0 0 0 $ 2 4 4 , 8 0 0 Variable costs 1 2...
SINGLE, MARRIED FILING SEPERATELY, OR HEAD OF HOUSEHOLD SINGLE, MARRIED FILING SEPERATELY, OR HEAD OF HOUSEHOLD Over $0 $12,500 $50,000 But Not Over $12,500 $50,000 Tax Due Is 4% of taxable income...
17. S T D -3 -2 graph of glx) 2 The graph of the continuous function g is shown above for -46x4. The Function g is twice differentiable, except at x=0. let & be the function with flo1=-2 and f'(x) =...
Tim works for HydroTech, a manufacturer of high-pressure industrial water pumps. He reports directly to the CFO, and she has asked him to calculate HydroTech's WACC. He has gathered the following...
You are appraising a 15,450 square foot (SF) building and using the Cost Approach. The base cost is $50/SF, the local multiplier is 1.05, the current cost multiplier is 0.92. The land value is...
Large banks often borrow heavily in the federal funds market and maintain small investment portfolios relative to their asset size. Are these offsetting risk positions? Why do large banks organize...
Privitera and Freeman (2012) constructed a scale to measure or estimate the daily fat intake of participants; the scale was called the estimated daily intake scale for fat (EDIS-F). To validate the...
A 2.25 mole sample of an ideal gas with C V ,m = 3/2R initially at 310. K and 1.25 10 5 Pa undergoes a reversible adiabatic compression. At the end of the process, the pressure is 3.10 10 6 Pa....
Propose a structure for a compound with molecular formula C 3 H 8 O that exhibits the following 1 H NMR and 13C NMR spectra: Proton NMR 0.5 5.0 4.5 4.0 3.5 3.0 2.0 1.5 1.0 25 Chemical shift (ppm)...
Propose two possible structures for a compound with molecular formula C 5 H 12 O that exhibits the following 13 C NMR and IR spectra: Carton 13 NMR 29.1 9.5- 73.8- 100 90 80 70 60 50 20 10 Chemical...
.Is bankruptcy on the part of the borrower a common risk that frequently interferes with a lenders efforts to work out a defaulted loan through either nonforeclosure means or foreclosure? Discuss.
For each of the following, compute the future value: Present Value Years Interest Rate $ 1 , 2 5 0 1 9 1 2 % $ 9 8 , 7 2 7 1 5 1 3 % $ 6 2 5 6 1 2 % $ 1 1 7 , 6 2 2 7 1 6 % 2 . For each of the...
Only need help on 4B and 5. Exercise 9-21 Breakeven Planning; Profit Planning (LO 9-2, 9-3] Connelly Inc., a manufacturer of quality electric ice cream makers, has experienced a steady growth in...

Prove the anticommutativity and distributivity of Poisson brackets by showing that (a) ({A, B}_{mathrm{q}, mathrm{p}}=-{B, A}_{mathrm{q}, mathrm{p}})

Question:

Step by Step Answer:

Modern Classical Mechanics

Students also viewed these Sciences questions