Let A and B be observables. Suppose the simultaneous eigenkets of A and B {|a, b} form

Question:

Let A and B be observables. Suppose the simultaneous eigenkets of A and B {|a′, b′〉} form a complete orthonormal set of base kets. Can we always conclude that [A, B] = 0?

If your answer is yes, prove the assertion. If your answer is no, give a counterexample.

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: 9780805382914

2nd Edition

Authors: J. J. Sakurai, Jim J. Napolitano

See More Books

Question Posted: Aug 05, 2023 01:00 AM

See More Questions

Let A and B be oversvables, suppose the simultaneous eigenkets of A and B {|, b>} form a complete orthonormal set of base kets. Can we always conclude that [A, B] = 0? If your answer is yes, prove...
Let A and B be m x n matrices. (a) Suppose that vTAw = vT B w for all vectors v, w. Prove that A = B. (b) Give an example of two matrices such that vT A v = vT B v for all vectors v, but A B.
Let A and B be n ( n orthogonal matrices. (a)Prove that A (AT + BT)B = A + B. (b)Use part (a) to prove that, if det A + det B = 0, then A + B is not invertible.
Vijay Company reports the following information regarding its production costs. Compute its production cost per unit under absorption costing. Direct materials.................................. $ 10...
Forest City has recently implemented GAAP reporting and is attempting to determine which of the following special revenue funds should be classified as major funds and therefore be reported in...
For a three-phase fault at the spark location shown in the figure below with all equipment three-phase and generator of finite size, determine the symmetrical rms fault current. Ignore the series...
Compare the standard errors for the imputations obtained in Exercises 9 and 11. Explain what you find.
Herb has made contributions of $2000 to his RRSP at the end of every six months for the past eight years. The plan has earned 9.5% compounded semiannually. He has just moved the funds to another plan...
Given the following data: Activity Purchasing Receiving Moving Setups Driver Purchase Orders Receiving Orders #of moves of setups SQ2018 2,000 3,750 0 0 AQ2018 3,000 4,300 300 75 SP2018 $ 85 $ 60...
Estimate the rough order of magnitude of the length of time that an ice pick can be balanced on its point if the only limitation is that set by the Heisenberg uncertainty principle. Assume that the...
Evaluate the x-p uncertainty product (x) 2 (p) 2 for a one-dimensional particle confined between two rigid walls, Do this for both the ground and excited states. 0 v = { % V for 0 < x
At the unregulated, competitive equilibrium, the demand curve of gasoline becomes more elastic over time as people can react to a higher gasoline price by buying more fuel-efficient cars, moving...
Design a clocked D flip-flop, using a modified ECL circuit design, such that the output becomes valid on the negative-going edge of the clock signal.
An L2 steel strap having a thickness of 0.125 in. and a width of $2 \mathrm{in}$. is bent into a circular arc of radius $600 \mathrm{in}$. Determine the maximum bending stress in the strap.
Cars traveling from Canada to the United States through the Thousand Islands Border Crossing must stop for US Customs and Immigration. During the stop, each passenger in the car must present a...
Gasoline is pumped through a 2 in. sch 40 pipeline upward into an elevated storage tank at $60^{\circ} \mathrm{F}$. An orifice meter is mounted in a vertical section of the line, which uses a DP cell...
Change the recurring costs in Problem and Exercise 3 to $40,000 and redo the analysis. Problem and Exercise 3 Assume you are put in charge of launching a new website for a local nonprofit...
How does bank chartering reduce adverse selection problems? Does it always work?
For the given transfer function: Vo(s) / Vi(s) = (s^2C^2R^2 + 1) / (s^2C^2R^2 + 4sCR + 1) Assumiing that 1/(CR) = 120 PI so write the matlab code to find the magnitude plot
Prove [AB, CD] = AC {D, B} + A {C, B} D C {D, A} B + {C, A} DB. Discuss.
a. Consider two kets | > and | >. Suppose < | >, < | ), and < | >, < |), are all known, where | >, | ), form a complete set of base kets. Find the matrix representation of the operator | > < | in...
Suppose | i > and | j > are eigenkets of some Hermitian operator A. Under what condition can we conclude that | i > + | j > is also an eigenket of A? Justify your answer.
En prenant un exemple de votre choix, montrer comment on value un swap de taux de change.
How much would you need to invest today in order to receive: a. $10,000 in 5 years at 11%? b. $11,000 in 12 years at 8%? c. $12,000 each year for 10 years at 8%? d. $12,000 at the beginning of each...
A company that manufactures pulse Doppler insertion flow meters uses the Straight Line method for book depreciation purposes. Newly acquired equipment has a first cost of $190,000 with a 3-year life...

Let A and B be observables. Suppose the simultaneous eigenkets of A and B {|a, b} form

Question:

Step by Step Answer:

No we cannot always conclude that A B 0 based on the fact that the simultaneous eigenkets of A and B ...View the full answer

Modern Quantum Mechanics

Students also viewed these Engineering questions