- #1
Waxterzz
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From the textbook of Omar:
Can someone explain me the summation of this? I simply don't get it?
Thanks in advance.
Can someone explain me the summation of this? I simply don't get it?
Thanks in advance.
mfb said:Which summation do you mean?
The second equation is the first one with the argument that the sum over j' looks like "something"+"something"+...+"something" (N times the same summand) = N*"something".
The Tight Binding Model is a mathematical model used in solid state physics to describe the electronic structure of a crystal. It takes into account the interactions between neighboring atoms and their electrons, and is based on the principles of quantum mechanics.
The Tight Binding Model uses a linear combination of atomic orbitals to describe the electronic wavefunction of the crystal. The model takes into account the overlapping of orbitals between neighboring atoms, and uses this information to determine the electronic energy levels of the crystal.
The Tight Binding Model assumes that the electronic wavefunction of a crystal can be described as a linear combination of atomic orbitals, and that the orbitals of neighboring atoms overlap. It also assumes that the electronic energy levels are affected only by the interactions between neighboring atoms.
The Tight Binding Model is a simplified model and does not take into account the complex interactions between all atoms in a crystal. It also does not consider the effects of temperature, pressure, and other external factors on the electronic structure of a crystal.
The Tight Binding Model is used in various areas of solid state physics, such as in the study of semiconductors, superconductors, and other materials with unique electronic properties. It is also used in the design of electronic devices, such as transistors and diodes.