Recent content by Tainty

Jilang and Dinofou, thanks for both your responses and the material. Jilang, I am still not entirely convinced that precession will take place for the condition that I've specified. In the link that you provided, it says on slide 18 that the spin precession frequency is independent of...

I believe I have gained a much better understanding of the selection rules and how they are defined with and without an external field. I would like to thank all of you for your time in explaining these concepts. I have a relevant question regarding optical pumping that perhaps you might be...

I have some trouble understanding the concept of spin precession in an external field from a quantum mechanics viewpoint. Hopefully someone will be willing to enlighten me. Consider a single spin ½ particle. In the absence of an external field, the projection of the spin angular momentum on...

Hi vanhees71, thanks for pointing out my incorrect terminology. Perhaps propagation direction of the light as opposed to quantization axis of the light would be more appropriate.

DrClaude, thanks for your response. The m=0 state maps out a circle in the xy plane for the case where z is the quantization axis and the m=0 state with y as the quantization axis maps out a circle in the xz plane. Is this correct? My assumption is that regardless of choice of quantization...

Hi Vanhees71, thanks for your response. I've been taking some time to look into this a little more but I still can't reconcile certain things that you've said. Could you elaborate on this? Perhaps a schematic would better illustrate my point. If you refer to my attachment, consider linearly...

I would like to resume this discussion if possible. Based on my understanding and what has been mentioned above, the selection rules are largely dictated by the choice of the quantization axis. And in the absence of any external field, the choice of quantization axis is totally arbitrary due...

Sorry for the lack of clarity in my post. I have been referring mostly to online material as well as Rodney Loudon's "Quantum Theory of Light" which I have had trouble understanding mostly due to my own lack of knowledge in quantum optics. I have found this online response particularly helpful...

I am trying to better understand the concept of second order coherence G2(τ) (in particular G2(0)) and a few questions have arisen. Note that I am trying to get a physical idea of what is happening so I would appreciate it if your responses can keep the math to the minimum possible. :) How do...

In the 2nd equation, the first term (eigenstate) on the RHS satisfies ΔmJ=+1 but not ΔmI=+1 whereas the second term (eigenstate) on the RHS satisfies ΔmI=+1 but not ΔmJ=+1. In other words, the selection rules for both mJ and mI are not satisfied at the same time for each eigenstate. If this...

Ok, suppose we consider the example that DrClaude expanded upon.

Hi DrDu, I am just trying to test my understanding of this topic, which pertains to the broader field of spin polarization, through various thought experiments. These questions arise as I try to improve my fundamental understanding of the topic.

After further thought, I realize I have some difficulty reconciling a few issues, particularly with regards to a physical understanding of the entire picture. Firstly, I realize that in my initial query, I had omitted any mention of the mI quantum number. Does its selection rules echo that of...

That makes a lot of sense! Thanks folks. I will try to digest and understand this further.

Thank you very much for those replies. Both of you hit the nail on the head in terms what I have been confused about. I agree that if the transition is ΔmF allowed it should be automatically ΔmJ allowed based on superposition even though J and mJ are strictly no longer good quantum numbers...