- #1

mahdi

- 3

- 0

DOS(E)=2/N ∑ ∫(1/dE

_{j}(k)/dk).δ[Ej(k)-E]dE

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

In summary, the conversation is about the solution of the Dirac delta function in the density of state equation, where DOS(E)=2/N ∑ ∫(1/dEj(k)/dk).δ[Ej(k)-E]dE. The speaker asks for clarification on the equation and suggests using "tex formula tex" to edit it and make the problem clearer. The other person provides more explanation, stating that the delta function filters out the energy spectrum and 1/|dE/dk| gives the density of state at E from a specific band. They also mention a reference book for more information.

- #1

mahdi

- 3

- 0

DOS(E)=2/N ∑ ∫(1/dE

Physics news on Phys.org

- #2

bsmile

- 48

- 2

are you sure this expression makes sense? Maybe I miss something?

- #3

Douasing

- 41

- 0

mahdi said:

DOS(E)=2/N ∑ ∫(1/dE_{j}(k)/dk).δ[Ej(k)-E]dE

Hi,you can use " tex formula tex " to eidt your formula as follows

[tex]\frac{1}{2}Ax= b[/tex]

and state your problem clearer.

- #4

- #5

bsmile

- 48

- 2

- #6

mahdi

- 3

- 0

please do you have a reference of this solution ?

- #7

bsmile

- 48

- 2

should be DOS(E)= sum_j (1/|dEj/dk|). Take a look at Ashcroft and Mermin's solid state physics

The Dirac Delta function, denoted by δ, is a mathematical function that is defined as 0 for all values except 0, where it has an infinite value. It is used to represent a point-like source or sink of a quantity in physics and engineering.

The Dirac Delta DOS (Density of States) equation is a mathematical equation that describes the distribution of energy levels in a system. It is used to calculate the number of energy states per unit volume at a particular energy level, and is commonly used in quantum mechanics and condensed matter physics.

The Dirac Delta DOS equation is used in physics to describe the energy levels of a system, such as a solid material or a particle in a potential well. It is particularly useful in understanding the electronic structure of materials and the behavior of particles in a potential barrier.

The Dirac Delta function is significant in quantum mechanics because it allows for the representation of point-like particles, such as electrons, which have a position and momentum that cannot be precisely determined. It is also used in the formulation of the Schrödinger equation, which is a fundamental equation in quantum mechanics.

No, the Dirac Delta DOS equation is specifically applicable to systems with discrete energy levels, such as atoms and solids. It cannot be applied to systems with continuous energy levels, such as a free electron gas. In these cases, a different equation, such as the Gaussian DOS equation, must be used.

- Replies
- 9

- Views
- 3K

- Replies
- 0

- Views
- 640

- Replies
- 1

- Views
- 3K

- Replies
- 1

- Views
- 2K

- Replies
- 2

- Views
- 2K

- Replies
- 3

- Views
- 2K

- Replies
- 1

- Views
- 2K

- Replies
- 3

- Views
- 2K

- Replies
- 1

- Views
- 763

- Replies
- 10

- Views
- 4K

Share: