Question on Russell-Saunders term Symbols

  • Thread starter Thread starter luiz1
  • Start date Start date
  • Tags Tags
    Symbols Term
luiz1
Messages
2
Reaction score
0
Hello Forum,
I'm reading a paper on the low-lying electronic states of Mn and can't quite figure out the notation. For example, we are told the [Ar]3d54s2 lowest energy configuration gives rise to a 'a 6S5/2' ground state. I understand that the 6S5/2 in terms of the (2S+1)L(J) Russell-Saunders term notation. My question is: what does the 'a' stand for? Similarly, we have excited states of 'y 6P' and 'z 6P'. Again, what do the 'y' and 'z' stand for?

Any help would be appreciated.

Regards,
L
 
Physics news on Phys.org
The ground electronic state is designated X. All excited electronic states that can be reached (electric-dipole-allowed transitions) from the ground state are labelled A, B, C, ..., in order of increasing energy. States that can't be reached (forbidden transitions) are labelled a, b, c, ..., again in order of energy.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
I am reading WHAT IS A QUANTUM FIELD THEORY?" A First Introduction for Mathematicians. The author states (2.4 Finite versus Continuous Models) that the use of continuity causes the infinities in QFT: 'Mathematicians are trained to think of physical space as R3. But our continuous model of physical space as R3 is of course an idealization, both at the scale of the very large and at the scale of the very small. This idealization has proved to be very powerful, but in the case of Quantum...
Thread 'Lesser Green's function'
The lesser Green's function is defined as: $$G^{<}(t,t')=i\langle C_{\nu}^{\dagger}(t')C_{\nu}(t)\rangle=i\bra{n}C_{\nu}^{\dagger}(t')C_{\nu}(t)\ket{n}$$ where ##\ket{n}## is the many particle ground state. $$G^{<}(t,t')=i\bra{n}e^{iHt'}C_{\nu}^{\dagger}(0)e^{-iHt'}e^{iHt}C_{\nu}(0)e^{-iHt}\ket{n}$$ First consider the case t <t' Define, $$\ket{\alpha}=e^{-iH(t'-t)}C_{\nu}(0)e^{-iHt}\ket{n}$$ $$\ket{\beta}=C_{\nu}(0)e^{-iHt'}\ket{n}$$ $$G^{<}(t,t')=i\bra{\beta}\ket{\alpha}$$ ##\ket{\alpha}##...
Back
Top