Understanding Spin States and Density of States in Atom Systems

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SUMMARY

This discussion centers on the relationship between electron spins in atoms and their density of states (DoS). It establishes that in a spin 1/2 system, the DoS is calculated without considering spin and is then multiplied by 2 to account for the two spin states. The conversation also highlights that when an external magnetic field is applied, the symmetry of the system is lowered, which affects the DoS. Additionally, the impact of entangled spins on electronic structure and observable differences in scanning tunneling microscopy (STM) is explored.

PREREQUISITES
  • Understanding of spin 1/2 systems in quantum mechanics
  • Familiarity with density of states (DoS) calculations
  • Knowledge of entangled quantum states
  • Basic principles of scanning tunneling microscopy (STM)
NEXT STEPS
  • Research the effects of magnetic fields on density of states in quantum systems
  • Explore the concept of entangled spins and their implications in quantum mechanics
  • Study the electronic structure differences observable in STM due to spin interactions
  • Investigate advanced quantum mechanics textbooks focusing on spin and density of states
USEFUL FOR

Researchers, physicists, and students interested in quantum mechanics, particularly those studying electron spin interactions and their effects on electronic properties in atomic systems.

Beer-monster
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Hi doing some research for a project. Basically I'm looking for some info on the link between electon spins in atoms and their density of states.

Specifically I'm interested in how the density of states of a spin up particle differs from spin down, and how the DoS are thus effected by entangled spin measures.

I've not been able to find anything related in all the textbooks I've looked at, and currently I think my net is too wide for a literature search. Could any of you tell me of any relevant sources or the names of releated effects.

Thanks
 
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Spin affects are not part of the DOS, in a spin 1/2 system, you calculate the DOS without spin and multiply by 2 to account for the two spin states. If you have an applied magnetic field, you'll change the DOS so that spin has an effect, because you have lowered the symmetry of the system.
 
Sorry about the belated reply. Life has been playing gremlin.

DoS was probably a bad way of stating it. The problem is I imagine I have two molecules near enough to have entangled spins. Now I've heard their would be a difference in their electronic structure, such as their orbitals or something that I'm told would be visible as a contrast on an STM. The thing is I know nothing more than that and would like to know more.

Anyone have any idea what this might be or have I misunderstood what I've heard and am way off.
 

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