Quantized Magnetic Flux in the Bohr–Sommerfeld Model

A S Tarnovskiĭ

Subhash N. Karbelkar

Ziya Saglam, Bahadır Boyacıoğlu, Servet Bayram +1 more

By using the Heisenberg uncertainty relation for a photon in a uniform magnetic field, we have shown that the quantum flux is associated with a photon ± hc e . Applying the Bohr–Sommerfeld quantization argument for a photon, we have also shown that the uncertainty relation for a photon is exactly the same as the uncertainty relation for an electron.

S. Abe, S. Naka

The Bohr-Sommerfeld quantization procedure for the Grassmann variables is discussed. Applications to the problem of a spin system in a constant magnetic field and to a Dirac particle in a scalar linear potential are presented.