Prediciting Bose Einstein statistics

In summary, Bose Einstein statistics is a type of statistical mechanics that describes the behavior of identical particles at low temperatures. It differs from classical statistics by considering the fact that particles with the same quantum state can occupy the same space. Some examples of systems that follow Bose Einstein statistics include superfluids, superconductors, and Bose-Einstein condensates. It is used in practical applications, particularly in the field of condensed matter physics, to understand and predict the behavior of materials at low temperatures. However, it can only be applied to systems with identical particles, and for non-identical particles, other statistical models should be used.
  • #1
spaghetti3451
1,344
33

Homework Statement



First, let's derive the predictions for He-4 atoms at very low temps given the MB distr.


Homework Equations




The Attempt at a Solution



Given the MB distr., if the ground state of the system is assumed to be at zero energy, then the ratio of occupation numbers between the ground and the first excites states is exp([tex]\epsilon1[/tex]/kT).

What do you guys think? Have I done all right so far?
 
Physics news on Phys.org
  • #2
The title should have been

PREDICTING BOSE EINSTEIN CONDENSATE FROM BE STATISTICS
 

Related to Prediciting Bose Einstein statistics

1. What is meant by Bose Einstein statistics?

Bose Einstein statistics is a type of statistical mechanics that describes the behavior of a large number of identical particles, such as atoms or molecules, at low temperatures. It was developed by Satyendra Nath Bose and Albert Einstein in the early 1920s and is based on the principles of quantum mechanics.

2. How is Bose Einstein statistics different from classical statistics?

Bose Einstein statistics takes into account the fact that particles with the same quantum state can occupy the same space, while classical statistics assumes that particles are distinguishable and cannot occupy the same space. This difference leads to different predictions for the behavior of particles at low temperatures.

3. What are some examples of systems that follow Bose Einstein statistics?

Some examples of systems that follow Bose Einstein statistics include superfluids, superconductors, and Bose-Einstein condensates, which are all states of matter that can only be observed at very low temperatures.

4. How is Bose Einstein statistics used in practical applications?

Bose Einstein statistics has many practical applications, particularly in the field of condensed matter physics. It is used to understand and predict the behavior of materials at very low temperatures, which has implications for technologies such as superconductors and lasers.

5. Can Bose Einstein statistics be applied to systems with non-identical particles?

No, Bose Einstein statistics is only applicable to systems with identical particles. For systems with non-identical particles, Fermi Dirac statistics or Maxwell Boltzmann statistics should be used instead, depending on the type of particles and their behavior.

Similar threads

  • Advanced Physics Homework Help
Replies
1
Views
1K
  • Advanced Physics Homework Help
Replies
2
Views
1K
  • Advanced Physics Homework Help
Replies
1
Views
1K
  • Advanced Physics Homework Help
Replies
2
Views
2K
Replies
1
Views
1K
  • Advanced Physics Homework Help
Replies
1
Views
2K
  • Advanced Physics Homework Help
Replies
5
Views
5K
Replies
2
Views
2K
Replies
2
Views
1K
  • Atomic and Condensed Matter
2
Replies
36
Views
7K
Back
Top