Show that for an ideal Bose gas [ langle uangleleftlanglefrac{1}{u}ightangle=frac{4}{pi} frac{g_{1}(z) g_{2}(z)}{left{g_{3 / 2}(z)ight}^{2}} ] (u) being
Question:
Show that for an ideal Bose gas
\[
\langle uangle\left\langle\frac{1}{u}ightangle=\frac{4}{\pi} \frac{g_{1}(z) g_{2}(z)}{\left\{g_{3 / 2}(z)ight\}^{2}}
\]
\(u\) being the speed of a particle. Examine and interpret the limiting cases \(z ightarrow 0\) and \(z ightarrow 1\); compare with Problem 6.6.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (1 review)
We start by calculating the expectation values of the quantities varepsilon1 2 and varepsilon1 2 lef...View the full answer
Answered By
Rinki Devi
Professional, Experienced, and Expert tutor who will provide speedy and to-the-point solutions.
Hi there! Are you looking for a committed, reliable, and enthusiastic tutor? Well, teaching and learning are more of a second nature to me, having been raised by parents who are both teachers. I have done plenty of studying and lots of learning on many exciting and challenging topics. All these experiences have influenced my decision to take on the teaching role in various capacities. As a tutor, I am looking forward to getting to understand your needs and helping you achieve your academic goals. I'm highly flexible and contactable. I am available to work on short notice since I only prefer to work with very small and select groups of students.
I have been teaching students for 5 years now in different subjects and it's truly been one of the most rewarding experiences of my life. I have also done one-to-one tutoring with 100+ students and helped them achieve great subject knowledge.
5.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Sciences questions
-
Given the following network, with the indicated flow capacities along each branch, determine the maximum flow from source node 1 to destination node 7 and the flow along eachbranch: 12 4 10 0 15 12 5...
-
The velocity of sound in a fluid is given by the formula \[ w=\sqrt{ }(\partial P / \partial ho)_{s} \] where \(ho\) is the mass density of the fluid. Show that for an ideal Bose gas \[ w^{2}=\frac{5...
-
"internet radios" for streaming audio, and personal video recorders and players. Describe design and evaluation processes that could be used by a start-up company to improve the usability of such...
-
Most websites have images. There are many different features and functionalities that can be used to work with images via the use of JavaScript. These include preloading, rollovers, and cycling...
-
Adjusting entries: A) Are needed for all balance sheet accounts. B) Must be made on a daily basis to record supplies used during that day. C) Are needed because errors have been made in previous...
-
Construct an E-R diagram for a hospital with a set of patients and a set of medical doctors. Associate with each patient a log of the various tests and examinations conducted.
-
Harold Fail owned a plot of land in Georgia known as Ebenezer Landing, where he operated a public boat ramp and parking lot. In 1999, Fail and Steve Bodiford entered into an oral agreement...
-
The condensed product- line income statement for Dish N Dat Company for the month of March is as follows: Fixed costs are 15% of the cost of goods sold and 40% of the selling and administrative...
-
3. (5 Marks) An engineering project requires $25,000 as first cost and has a planning horizon of six years. Operating costs are $2,300 per year, and expected annual revenue is $9,200 (both real...
-
Consider an ideal Bose gas in a uniform gravitational field of acceleration \(g\). Show that the phenomenon of Bose-Einstein condensation in this gas sets in at a temperature \(T_{c}\) given by \[...
-
Evaluate the quantities \(\left(\partial^{2} P / \partial T^{2}ight)_{u},\left(\partial^{2} \mu / \partial T^{2}ight)_{u}\), and \(\left(\partial^{2} \mu / \partial T^{2}ight)_{P}\) for an ideal Bose...
-
Lee Dennegar and Mark Knutson lived in Dennegars house in Raritan, New Jersey. Dennegar paid the mortgage and other household expenses. With Dennegars consent, Knutson managed their households...
-
Communication apprehension refers to the fear or anxiety people experience at the thought of being evaluated by others. When was the last time you (or watched someone else) experience(d) anxiety in...
-
Provided about tax preparation options. How would you classify the market structure of the tax preparation industry? What are the benefits to this type of market structure? What are some of the costs?
-
On January 1, Northern Inc. had 200,000 common shares authorized, 10,000 common shares issued, and 9,500 common shares outstanding. On May 1, Northern sold all of its treasury stock. After this...
-
Damerly Company (a Utah employer) wants to give a holiday bonus check of $275 to each employee. Since it wants the check amount to be $275, it will need to gross-up the amount of the bonus. Calculate...
-
36. Tarzan has mass of 75 kg. He swings on a 5m long vine. At the bottom of his swing he is moving at speed v. How does the vine tension (T) compare with his weight (mg) - provide a reason. a) T = mg...
-
A long solenoid with 60 turns of wire per centimetre carries a current of 0.15 A. The wire that makes up the solenoid is wrapped around a solid core of silicon steel (Km = 5200). (The wire of the...
-
Annual dividends of ATTA Corp grew from $0.96 in 2005 to $1.76 in 2017. What was the annual growth rate?
-
Using Eulers equations, show that a rigid body rotating without applied torque has a total angular momentum whose magnitude is constant.
-
A rigid body has an axis of symmetry, which we designate as axis 1. The principal moment of inertia about this axis is \(I_{1}\), while the principal moments of inertia about the remaining two...
-
Show that \(u ightarrow 1\) is a stable point for the gyroscope, and find the corresponding nutation. Show that there is a criticial angular momnetum \(p_{\psi}=2 \sqrt{M g l I}\).
-
In preparing to go to the bank for the necessary loan, the Mahons want to prepare projected financial statements showing that Santa Fe Trading Company can make a profit and pay back the loan. They...
-
The gain on sale of investment in equity securities is exempt from capital gain tax if, a. the sale is done inside stock exchange b. the sale is done over the counter c. the sale is done outside...
-
Sale of agricultural land to the govt as covered by the Comprehensive Agrarian Reform Law is exempt from capital gain tax , a. if the sale is resulting to gain b. if sale is resulting to a loss c....
Study smarter with the SolutionInn App