Spin Hamiltonian Explained: Basics & Overview

[Rajini]

Does any willing to explain in detail from basics about what is this 'Spin Hamiltonian'.??
thanks

 

[f95toli]

I am not sure what you are asking. There are many types of spin-systems and quite a few different hamiltonians that can be used to model them.
However, the simplest Hamiltonian is just
H=\frac{1}{2}\hbar \omega \sigma_z
which is valid for a single spin 1/2 system with a level separation of \hbar \omega in a diagonal basis.
Is this the hamiltonian you are asking about?

 

[Gokul43201]

Rajini, at the very least you can write down the Hamiltonian, so there is no confusion about that. Is this the spin-spin (Heisenberg) Hamiltonian, or the interaction between a spin S and an applied field B, or something else?

 

[Rajini]

Yes..I work with Mössbauer spectroscopy...there one can fit the spectra using spin hamiltonians..this help to analyze the spectra (measurement taken with the application of external magnetic field or sometimes without magnetic field)...just to find whether how many spieces are present..whether Fe3+ or Fe2+ or both...i just need to know the theory behind it..yes there are several software to fit..its easy...but i need to know theory..some research papers or some books would be helpful...thanks

 

[olgranpappy]

* Mössbauer Spectroscopy and its Applications, T E Cranshaw, B W Dale, G O Longworth and C E Johnson, (Cambridge Univ. Press: Cambridge) 1985
* Mössbauer Spectroscopy, D P E Dickson and F J Berry, (Cambridge Univ. Press: Cambridge) 1986
* The Mössbauer Effect, H Frauenfelder, (Benjamin: New York) 1962
* Principles of Mössbauer Spectroscopy, T C Gibb, (Chapman and Hall: London) 1977
* Mössbauer Spectroscopy, N N Greenwood and T C Gibb, (Chapman and Hall: London) 1971
* Chemical Applications of Mössbauer Spectroscopy, V I Goldanskii and R H Herber ed., (Academic Press Inc: London) 1968
* Mössbauer Spectroscopy Applied to Inorganic Chemistry Vols. 1-3, G J Long, ed., (Plenum: New York) 1984-1989
* Mössbauer Spectroscopy Applied to Magnetism and Materials Science Vol. 1, G J Long and F Grandjean, eds., (Plenum: New York) 1993