Spin Hamiltonian Explained: Basics & Overview

In summary, the Hamiltonian for a single spin system with a level separation of \hbar \omega in a diagonal basis is \frac{1}{2}\hbar \omega \sigma_z.
  • #1
Rajini
621
4
Does any willing to explain in detail from basics about what is this 'Spin Hamiltonian'.??
thanks
 
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  • #2
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
[itex]H=\frac{1}{2}\hbar \omega \sigma_z[/itex]
which is valid for a single spin 1/2 system with a level separation of [itex]\hbar \omega[/itex] in a diagonal basis.
Is this the hamiltonian you are asking about?
 
  • #3
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?
 
  • #4
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
 
  • #5
* 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
 

FAQ: Spin Hamiltonian Explained: Basics & Overview

What is a spin Hamiltonian?

A spin Hamiltonian is a mathematical representation of the energy of a quantum spin system. It describes the interaction between the spin of a particle and its surrounding environment, such as magnetic fields or other particles.

How is a spin Hamiltonian used in physics?

A spin Hamiltonian is used to understand and predict the behavior of spin systems, which are important in many areas of physics, including quantum mechanics, solid state physics, and nuclear magnetic resonance. It can also be used to study the properties of materials and to develop new technologies.

What are the components of a spin Hamiltonian?

A spin Hamiltonian typically includes terms for the Zeeman effect, which describes the interaction between a spin and an external magnetic field, and the hyperfine interaction, which describes the interaction between a spin and the surrounding atomic nuclei. It may also include terms for spin-spin interactions and spin-orbit coupling.

How is a spin Hamiltonian derived?

A spin Hamiltonian is typically derived using a combination of experimental data and theoretical models. It may also be derived from more fundamental equations, such as the Schrödinger equation, which describes the behavior of quantum systems.

What are some applications of spin Hamiltonians?

Spin Hamiltonians have a wide range of applications, including in the fields of quantum computing, spintronics, and magnetic resonance imaging (MRI). They are also used in the study of magnetic materials, such as in the development of new magnetic storage devices.

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