Question

11.5.3 Coherent states

2. Let us study states ()such that the expectation values of a and H have properties identical to the classical properties. F

Where equation 11.29 is

dz dt (11.29)

11.5.3 Coherent states
2. Let us study states ()such that the expectation values of a and H have properties identical to the classical properties. First, İr(a)(i)-(p(1)ļa1φ(1) , show that so that(a)(t) must satisfy the same differential equation (1 l.29) as「(t). We define the complex number Zo as and so we then have the following solution of the differential equation for (a) (t): (a)(,) = Oe-ian .
dz dt (11.29)
0 0
Add a comment Improve this question Transcribed image text
Answer #1

We want to compute the time derivative of the expectation value (a). It would be very convenient to work in the Heisenberg pi

Add a comment
Know the answer?
Add Answer to:
11.5.3 Coherent states 2. Let us study states ()such that the expectation values of a and H hav...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 5. Coherent States (Answer only question 5 for part a, b, and c) A coherent state is an Eigenstat...

    5. Coherent States (Answer only question 5 for part a, b, and c) A coherent state is an Eigenstate of annihilation / lowering operator c) Baker- Campbell- Hausdorff Formula [Hint: Define the functions fa-eaA+8), ģ(A)-eä eABe-12 č. Note that these functions are equal at -0, and show that they satisfy the same differential equation: df/di (A+ B)f and dg/da (A+B)g Therefore, the functions are themselves equal for all λ.] A useful application of BCH formula is given in problem 5...

  • 1. (30pt) LC Circuit and Simple Harmonic Oscillator (From $23.12 RLC Series AC Circuits) Let us...

    1. (30pt) LC Circuit and Simple Harmonic Oscillator (From $23.12 RLC Series AC Circuits) Let us first consider a point mass m > 0 with a spring k> 0 (see Figure 23.52). This system is sometimes called a simple harmonic oscillator. The equation of motion (EMI) is given by ma= -kr (1) where the acceleration a is given by the second derivative of the coordinate r with respect to time t, namely dr(t) (2) dt de(t) (6) at) (3) dt...

  • A NON stationary state A particle of mass m is in an infinite square well potential of width L, a...

    A NON stationary state A particle of mass m is in an infinite square well potential of width L, as in McIntyre's section 5.4. Suppose we have an initial state vector lv(t -0) results from Mclntrye without re-deriving them, and you may use a computer for your math as long as you include your code in your solution A(3E1) 4iE2)). You may use E. (4 pts) Use a computer to plot this probability density at 4 times: t 0, t2...

  • Table 1. Concentrations of [Fe(Phen),1?, M, in water and UV- vis absorbance values recorded at 2...

    Table 1. Concentrations of [Fe(Phen),1?, M, in water and UV- vis absorbance values recorded at 2 -505 nm. Concentration of [Fe(Phen)/, M Absorbance 9.500 x 10 0.999 4.250 x 10 0.480 0.219 2.125 10% 1.063 x 10 0.104 0.000 0.003 Table 2. UV-vis absorbance values of [Fe(phen)]* held at 35 °C after mixing with H SO, and recorded at 5 minute intervals (in water at max = 505 nm). Time (minutes) Absorbance 0.997 0.935 0.877 0.823 0.772 0.724 0.680 0.638...

  • Use the following information To help you solve the following questions. Show all work for thumbs...

    Use the following information To help you solve the following questions. Show all work for thumbs up. 3.1 Rotations and Angular-Momentum Commutation Relations 159 We are particularly interested in an infinitesimal form of Ry: (3.1.4) where terms of order & and higher are ignored. Likewise, we have R0= ° :- R(E) = 1 (3.1.5) and (3.1.5b) - E01 which may be read from (3.1.4) by cyclic permutations of x, y, zthat is, x y , y → 2,2 → x....

  • An engineering company is designing and testing a car suspension system. The system has a convent...

    An engineering company is designing and testing a car suspension system. The system has a conventional suspension design, consisting of a shock-absorber and spring at each wheel. The shock-absorber provides a damping effect that is proportional to the vertical speed (i.e. up and down motion) of the wheel, and the spring's resistance is proportional to the vertical displacement of the wheel. The design team analyses the suspension system in two separate parts: Part 1 - dynamics of the spring-damper system;...

  • Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...

    Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...

  • Chapter overview 1. Reasons for international trade Resources reasons Economic reasons Other reasons 2. Difference between...

    Chapter overview 1. Reasons for international trade Resources reasons Economic reasons Other reasons 2. Difference between international trade and domestic trade More complex context More difficult and risky Higher management skills required 3. Basic concept s relating to international trade Visible trade & invisible trade Favorable trade & unfavorable trade General trade system & special trade system Volume of international trade & quantum of international trade Commodity composition of international trade Geographical composition of international trade Degree / ratio of...

  • I need Summary of this Paper i dont need long summary i need What methodology they used , what is the purpose of this p...

    I need Summary of this Paper i dont need long summary i need What methodology they used , what is the purpose of this paper and some conclusions and contributes of this paper. I need this for my Finishing Project so i need this ASAP please ( IN 1-2-3 HOURS PLEASE !!!) Budgetary Policy and Economic Growth Errol D'Souza The share of capital expenditures in government expenditures has been slipping and the tax reforms have not yet improved the income...

  • Risk management in Information Security today Everyday information security professionals are bombarded with marketing messages around...

    Risk management in Information Security today Everyday information security professionals are bombarded with marketing messages around risk and threat management, fostering an environment in which objectives seem clear: manage risk, manage threat, stop attacks, identify attackers. These objectives aren't wrong, but they are fundamentally misleading.In this session we'll examine the state of the information security industry in order to understand how the current climate fails to address the true needs of the business. We'll use those lessons as a foundation...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT