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QuantumClue
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The g-factor is related to the magnetic moment by our universal equation [tex]\mu= g \mu_B S/ \hbar[/tex] and the magnetic moment experiences torque which is related to energy as [tex]\Delta E = -\mu \cdot B[/tex]. In fact there are equations which describe the magnetic interaction energy [tex]\Delta E = g \mu_B M B[/tex].
The g-factor has an appearance of [tex]\frac{e}{2M}[/tex]. It differs only very small to what we expect from the notation of the Bohr Magneton. So the question arises whether the g-factor is intrinsically related to energy.
It is possible to satisfy for instance that:
[tex]\sum^{N}_{i=1} \vec{\mu}_i \propto \frac{eh}{2Mc}[/tex] 1.
Where [tex]\mu_B= \frac{eh}{2M}[/tex] is the Bohr magneton. Equation 1. is simply the sum of magnetic moments where it measures the gyromagnetic ratio of a particle induced in a magnetic field.
The energy is given by the Lande' g-factor as a magnetic interaction on the system. This can be given as
[tex]\Delta E = \frac{eh}{2Mc}(L+2S) \cdot B[/tex]
Since
[tex]\sum^{N}_{i=1} \vec{\mu}_i \propto \frac{eh}{2Mc}[/tex]
Then
[tex]\sum_{i=1}^{N} E_i = \sum_{i=1}^{N} (\frac{eh}{2Mc})_i (L+2S) \cdot B \propto \sum_{i=1}^{N} \mu_i (L+2S) \cdot B[/tex]
If the calculation is right, then one can easily assume that energy is related to the sum (of) some periodic functions of the appearence of a magnetic moment and the g-factor is proprtional the magnetic moment.
The g-factor has an appearance of [tex]\frac{e}{2M}[/tex]. It differs only very small to what we expect from the notation of the Bohr Magneton. So the question arises whether the g-factor is intrinsically related to energy.
It is possible to satisfy for instance that:
[tex]\sum^{N}_{i=1} \vec{\mu}_i \propto \frac{eh}{2Mc}[/tex] 1.
Where [tex]\mu_B= \frac{eh}{2M}[/tex] is the Bohr magneton. Equation 1. is simply the sum of magnetic moments where it measures the gyromagnetic ratio of a particle induced in a magnetic field.
The energy is given by the Lande' g-factor as a magnetic interaction on the system. This can be given as
[tex]\Delta E = \frac{eh}{2Mc}(L+2S) \cdot B[/tex]
Since
[tex]\sum^{N}_{i=1} \vec{\mu}_i \propto \frac{eh}{2Mc}[/tex]
Then
[tex]\sum_{i=1}^{N} E_i = \sum_{i=1}^{N} (\frac{eh}{2Mc})_i (L+2S) \cdot B \propto \sum_{i=1}^{N} \mu_i (L+2S) \cdot B[/tex]
If the calculation is right, then one can easily assume that energy is related to the sum (of) some periodic functions of the appearence of a magnetic moment and the g-factor is proprtional the magnetic moment.