Question: a. Prove that the time evolution of the density operator ? (in the Schrodinger picture) is given by b. Suppose we have a pure ensemble

a. Prove that the time evolution of the density operator ? (in the Schrodinger picture) is given by

b. Suppose we have a pure ensemble at t = 0. Prove that it cannot evolve into a mixed ensemble as long as the time evolution is governed by the Schrodinger equation.

P(t) = (1, 1,)p(to)U*(1,1,).

Step by Step Solution

★★★★★

3.38 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Take 348 at ti... 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 (202).docx

120 KBs Word File

Students Have Also Explored These Related Modern Physics Questions!

Prove that the time for one revolution of a charged particle moving perpendicular to a uniform magnetic field is independent of its speed. (This is the principle on which the cyclotron operates.) In...

Suppose at time t = 0, we are given four zero-coupon bond prices {B1, B2, B3, B4} that mature at times t = 1, 2, 3, 4. This forms the term structure of interest rates. We also have one-period forward...

(a) In SystemVerilog, what is the difference between: (i) The ternary operator ? and if...then...else statements? [2 marks] (ii) always_ff and always_comb? [2 marks] (iii) Blocking, non-blocking and...

Miller-Rabin test to check whether a number N is composite. This will involve computing a N1 mod N for some value of a. [10 marks] Carry out the steps for N = 65 and a = 1, 2, 8 and 12. on what each...

Supply Chain Management Introduction Outline What is supply chain management? Significance of supply chain management. Push vs. Pull processes utdallas.edu/~metin 1 A Generic Supply Chain Sources:...

The new line character is utilized solely as the last person in each message. On association with the server, a client can possibly (I) question the situation with a client by sending the client's...

This journal should reflect upon what we learned in chapter 5 below, on Immanuel Kant in the Sandel book. As you write your journal in the direction that you like, please follow the following...

Good Evening, Need help in completing tasks 1-3 (first attachment) Introduction I. Types of Errors There are two types of errors that we encounter as we perform experimental measurements. Systematic...

4. Historically, the Poincar RecurTence TheoreT engendered much discussion (and no ll amout of onfusion) about the status aud nature of the Second La of Therody. Person- ally, I think this was...

Which of the four financial statements is more important to a banker? Why? You've been working on Aubrey Brown's financial statements. If the company wanted to borrow money from the bank, which...

The most stable conformer of N-methylpiperidine is shown on p. 108. a. Draw the other chair conformer b. Which takes up more space, the lone-pair electrons or the methyl group? NCH3 N-methylpiperidine

( 1 point ) Evaluate the following limit: lim x 5 x e 1 x - 5 x Enter - inf if your answer is - , enter inf if your answer is , and enter DNE if the limit does not exist. Limit =

The following data represent the number of licensed drivers in various age groups and the number of fatal accidents within the age group by gender. (a) Find the least-squares regression line for...

Titanium dioxide, which is the most common white pigment in paint, can be produced from the titanium mineral, rutile, by chlorination to TiCl4, followed by oxidation to TiO2. To purify the insoluble...

In 2013, you buy shoes for $2 a pair and socks for $1 a pair, and your income is $30, with which you buy 12 pairs of shoes and 6 pairs of socks. In 2014, you buy shoes for $1 a pair and socks for $2...

Calcium-carbonate precipitate can be produced by the reaction of an aqueous solution of sodium carbonate and calcium oxide. The by-product is aqueous sodium hydroxide. Following decantation, the...

The following data represent the number of days absent, x, and the ï¬nal grade, y, for a sample of college students in a general education course at a large state university. (a) Find the...

Consider an exothermic reaction occurring in a batch reactor, as shown in Figure 6.10. The reaction mechanism is a first-order reaction, and the Arrhenius reactionrate law applies, i.e. The system is...

Draw schematic diagrams for the electrons in the subshells of (a) Sodium (Na) and (b) Argon (Ar) atoms in the ground state.

Identify the atoms of each of the following ground state electron configurations: (a) 1s2 2s2; (b) 1s2 2s2 2p3; (c) 1s2 2s2 2p6; (d) 1s2 2s2 2p6 3s2 3p4.

Write the ground state electron configurations for each of the following atoms: (a) Boron (b), (b) Calcium (Ca), (c) Zinc (Zn), and (d) tin (Sn).

3. (30 points) Consider the following WiFi topology, with five transmitters (A, B, D, E, and F) and two access points (C and G). As shown, A and B are associating with C, while D, E, and F are...

You are considering a new product launch. The project will cost $857,000, have a four-year life, and have no salvage value; depreciation is straight-line to zero. Sales are projected at 180 units per...

Gerenuk Company currently produces a key part at a total cost of $120,000. Annual variable costs are $35,000. Of the annual fixed costs, $12,000 relate specifically to this part. The remaining fixed...