Question: 5. Compute the density matrix and the partition function for a system of N free particles in a box of volume V using the unsymmetrized

5. Compute the density matrix and the partition function for a

5. Compute the density matrix and the partition function for a system of N free particles in a box of volume V using the unsymmetrized "Boltzmannian" wave function in the position basis. Show that one obtains neither the Gibbs' correction factor (1/N!) nor a spatial correlation among the particles. (Hint: Adapt the arguments of Pathria Section 5.5 to the unsymmetrized case.)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Chemical Engineering Questions!

Study the density matrix and the partition function of a system of free particles, using the unsymmetrized wavefunction (5.4.3) instead of the symmetrized wavefunction (5.5.7). Show that, following...

SURE answers C.3 Consider a gas of photons confined to a two-dimensional cavity of typical size L. The allowed frequencies of the standing waves in the cavity are given by = c 2L q n2 x + n2 y ,...

ATTEMPT IS YOU ARE SURE OF YOUR QUESTIONS KINDLY A.1 A cup containing 0.5 kg of water at 50C is left to cool to the temperature of its surroundings: 15C. Is this a reversible process? [1] What is the...

Math 1172 Project #1 Applications of Integration Due: Tuesday, September 12 Name(s): - - - - - - - - - - - - - - - - - - - - Description - - - - - - - - - - - - - - - - - - - The definite integral is...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

Write 2 paragraphs about Macro risks and the term structure of interest rates article. No max word count, page count, or formatting requirements but has to be submit to my tutor's work as my own....

Can get the solution for these physics problems? The subject is thermodynamics. Recommended Text: Finn's Thermal Physics, third edition (CRC Press, 2017)...

Jones & Bartlett Learning, LLC. NOT FOR RESALE OR DISTRIBUTION CHAPTER Hot Spot Analysis 10 LEARNING OBJECTIVES C A R R Provide a working definition of a \"hot spot.\" , Be able to explain different...

In this question you will be asked to reflect on a project you have been involved in or observed, in which a design evolved, or could have evolved, through applying a theory of user behaviour. You...

Write a detailed paper on Elementary School Students Comprehension of Innovation Initiative Taken by Abu Dhabi Education Council (ADEC)

What are some of the techniques that can be used to determine the chemical composition of surface and near-surface material?

When looking at a market index, the Rate of Return is used for _ _ _ _ projections while the Mean Rate is used for _ _ _ _ _ _ . Straight - line Cash flow projections, Monte Carlo Monte Carlo,...

[3] Convert the following data model for tracking product sales into a relational database schema. You need to create the logical design only. Physical design (e.g. attribute formats) are not...

=+14. City Securities has just announced (who, whom) it will hire as CEO.

1. What two types of events are the typical triggers for financial crises?

=+10. Each manager plans to expand (his, their, his or her) sphere of control next year.