Stern-Gerlach experiment with higher spins


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TEKİN B.

EUROPEAN JOURNAL OF PHYSICS, cilt.37, sa.3, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1088/0143-0807/37/3/035401
  • Dergi Adı: EUROPEAN JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Stern-Gerlach experiment, rotation matrices, higher spins
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We analyze idealized sequential Stern-Gerlach (SG) experiments with higher spin particles. This analysis serves at least two purposes: the widely discussed spin-1/2 case leads to some misunderstandings since the probabilities are always evenly distributed for the sequential orthogonal magnets, which does not generalize to higher spins. A detailed discussion of the higher spin case, as is done here, is highly useful. Secondly, the Wigner rotation matrices for generic spins become conceptually more transparent with this physical example. We also give compact formulas for the probabilities in terms of the angle between the sequential SG apparatus for generic spins. We work out the spin-1/2, spin-1 cases explicitly. Since there are some confusing issues regarding the actual experiment, we also compile a 'facts and fiction' section on the SG experiments.