Does a Spin (1/2) Particle's Hamiltonian State Imply Its Spin Orientation?

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Homework Help Overview

The discussion revolves around the implications of a spin (1/2) particle's Hamiltonian state, specifically regarding its spin orientation and the probability of changing its spin state. The context involves quantum mechanics and the behavior of spin states under a Hamiltonian proportional to S(z).

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to understand whether the Hamiltonian state implies a specific spin state, particularly questioning if it indicates a spin-up state. Another participant raises a query about the expected energy transition value related to changes in spin states.

Discussion Status

The discussion is ongoing, with participants exploring the implications of the Hamiltonian on the spin state. There is a lack of explicit consensus, but questions regarding the nature of the spin states and energy transitions are being examined.

Contextual Notes

There is mention of a deleted post, which may have contained additional insights or questions. The original poster's assumptions about the spin state and the relationship to energy transitions are under scrutiny.

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Homework Statement



If I am told a spin (1/2) particle is originally in the state of a particular Hamiltonian (proportional to S(z)), does that imply the general state or spin-up? Because I am asked to find the probability that it will change its spin, which I can only make sense of assuming its talking about a specific spinor (in this case up).



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The Attempt at a Solution



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I received an email saying someone replied to this thread. Was the post deleted?
 
Void123 said:
I received an email saying someone replied to this thread. Was the post deleted?

Yes, the poster deleted his own post. Possibly because he realized that he did too much work on solving this schoolwork question. Perhaps he will come back and post more of a hint or a leading question...
 
Straightened it out. Am I supposed to get an energy transition value of h-bar, from spin-up to spin-down state? I imagine so since the eigenvalue of angular momentum is increased/decreased by h-bar. Right?
 

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