Question

Consider a two-particle system. Each particle can have energy 0 and Δ. Compute the partition function...

Consider a two-particle system. Each particle can have energy 0 and Δ. Compute the partition function for the following case:

a. When particles are distinguishable.

b. When particles are fermions.

c. When particles are Bosons.

Science   Advanced-Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider a system of 2 particles and 4 non-degenerate energy levels with energies 0, E0, 2E0,...
Consider a system of 2 particles and 4 non-degenerate energy levels with energies 0, E0, 2E0, 3E0, and 4E0. Taking into account the various ways the particles can fill those energy states, draw schemes of all the possible configurations with total energy E = 4E0 for the following cases: (a) The two particles are distinguishable. (b) The two particles are indistinguishable bosons. (c) The two particles are indistinguishable fermions.
Consider a system composed of two distinguishable free particles, each of which can have energy E...
Consider a system composed of two distinguishable free particles, each of which can have energy E = nε, for n = 0, 1, 2, .... List the microstates with energy E = 3ε.
Consider a system of distinguishable particles with five states with energies 0, ε, ε, ε, and...
Consider a system of distinguishable particles with five states with energies 0, ε, ε, ε, and 2ε (degeneracy of the states has to be determined from the given energy levels). Consider ε = 1 eV (see table for personalized parameters) and particles are in equilibrium at temperature T such that kT =0.5 eV: (i) Find the degeneracy of the energy levels and partition function of the system. (iii) What is the energy (in eV) of N = 100 (see table)...
Six identical but distinguishable particles share seven units of energy. Each particle can have energy only...
Six identical but distinguishable particles share seven units of energy. Each particle can have energy only in integral amounts. Create a table that lists all possible macrostates and for each macrostate compute its multiplicity. Using the values in your table compute the probability of randomly choosing a particle with energy E for all possible energies. What is the probability of randomly choosing a particle with energy E = 3 units? (A
1. Consider a system of 6 particles that can be distributed among Energy levels labelled 0...
1. Consider a system of 6 particles that can be distributed among Energy levels labelled 0 through 8. (a) Tabulate the average number of particles in each level for each of the three cases: Classical particles, Bosons and Fermions. (b) Represent the information in your table on a single graph [you must use different symbols or line types for the 3 cases. Excel/ Sigma Plot /Mathematica etc. are encouraged, but neat hand- made graphs are also acceptable]. [You may consult...
4. Write down the time-independent Schrӧdinger Equation for two non-interacting identical particles in the infinite square...
4. Write down the time-independent Schrӧdinger Equation for two non-interacting identical particles in the infinite square well. Assuming the spins of the two particles are parallel to each other, i.e., all spin-up, find the normalized wave function representing the ground state of the two-particle system and the energies for the two cases: (a) Two particles are identical bosons. (b) Two particles are identical fermions. and (c) Find the wave functions and energies for the first and second excited states for...
Consider a system of N distinguishable atoms, each of which can be in only one of...
Consider a system of N distinguishable atoms, each of which can be in only one of two states: the lowest energy state with energy 0, and an excited state with energy ɛ > 0. When there are n atoms in the excited state (and N-1 atoms in the lowest state), the total energy is U = nɛ. 1. Calculate the entropy S/k = ln(Ω(n)) and find the value of n for which it is maximum. 2. Find an expression for...
Imagine there exists a third type of particle which can share a single-particle state with one...
Imagine there exists a third type of particle which can share a single-particle state with one other particle of the same type but no more. There is a system in contact with a reservoir of the particles, which are allowed to move back and forth to the system. There is a single energy level available in the system. When a particle occupies this level, its energy is ε. What are the the possible states of the system, and what is...
(a) What is the gravitational potential energy of a two-particle system with masses 5.4 kg and...
(a) What is the gravitational potential energy of a two-particle system with masses 5.4 kg and 3.4 kg, if they are separated by 1.2 m? If you triple the separation between the particles, how much work is done (b) by the gravitational force between the particles and (c) by you?
1. Consider a three level system in which the energies are equally spaced (by energy ε);...
1. Consider a three level system in which the energies are equally spaced (by energy ε); each of the levels has certain (nonzero) degeneracy g . A. Write down the general expression for the average energy and the partition function of the system. B. Compute the occupations for ε = kT, when (i) all the states are singly degenerate and (ii) when the degeneracies are g0 = 1, g1 = 1, g2 = 3. Here gj represents the degeneracy of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT