Question about Density of states

[Shan K]

How can we define density of state in continuous energy? As the term energy state comes from quantum mechanics which deals with discrete energies.
Thanks in advance

 

[atyy]

If one us dealing with lots of particles in large volumes, the energy levels are usually close to each other compared to your experimental resolution, and it's usually ok to approximate the discrete energy levels by a continuum.

 

[Shan K]

If one us dealing with lots of particles in large volumes, the energy levels are usually close to each other compared to your experimental resolution, and it's usually ok to approximate the discrete energy levels by a continuum.

So continuous energy level are the resultant of many highly packed discrete energy levels. So the concept of state remain there as the concept of continuous energy is been imposed by us for highly packed discrete energy level. Is this right?

Can you give me a derivation which can show that, the energy level tends to continuum as the number of particle increase for a fixed volume? As I know how the energy level tends to continuum as the volume increase.

 

[Demystifier]

As the term energy state comes from quantum mechanics which deals with discrete energies.

This is actually not true that quantum mechanics deals only with discrete energies. "Quantum mechanics" is in fact a misnomer, used only for historical reasons. Perhaps a better name would be "wave mechanics" (which is rarely used), or even better "uncertainty mechanics" (which is not used at all).

If that confuses you, then you can see also
https://www.physicsforums.com/blog.php?b=3873