Abstract
We consider Schwinger's method of angular momentum addition using the SU(2) algebra with both a fermionic and a bosonic oscillator. We show that the total spin states obtained are: one boson singlet state and an arbitrary number of spin-1/2 states, the later ones are energy degenerate. It means that we have in this case supersymmetric quantum mechanics and also the addition of angular momentum for massless particles. We review too the cases of two bosonic and two fermionic oscillators.
Highlights
ËÓ Ï Ò È Ö ÓÖØ Ó ÓÒ Ð Ò ÓØ Ð ØÐ o Ì × Ñ Ò× Ø Ø Ø Ý ÑÙ×Ø ÔÖÓÔÓÖØ ÓÒ ÐÏ È μ 1⁄4. Ô Ö ØÝ × Ò ÐÙ Ø Ð ØÝ Ø × ÓÒ ØÛÓ Ú ÐÙ × ̧ Ò oÌØØØÒ ÒØ Ö Ð ÓÖ Ð 1 ÒØ Ö Ð ×.
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Summary
ËÓ Ï Ò È Ö ÓÖØ Ó ÓÒ Ð Ò ÓØ Ð ØÐ o Ì × Ñ Ò× Ø Ø Ø Ý ÑÙ×Ø ÔÖÓÔÓÖØ ÓÒ ÐÏ È μ 1⁄4. Ô Ö ØÝ × Ò ÐÙ Ø Ð ØÝ Ø × ÓÒ ØÛÓ Ú ÐÙ × ̧ Ò oÌØØØÒ ÒØ Ö Ð ÓÖ Ð 1 ÒØ Ö Ð ×. 1⁄2 o ÁÒ Ø × × Ø Ò ÙÐ Ö ÑÓÑ ÒØÙÑ ÓÔ Ö ØÓÖ× Â Ð×Ó Ò ÒÚ ØÓÖ ÖÓØ ØÝÒÒÐoÌÖ × ÒÓ ÖÓÓÑ Ò Ô Ý× × × × Ø ÑÓÑ ÒØÙÑ ÓÖ ÒÓØ Ö Ø × Ñ Ý ÓÒ× Ö Ò μ ØÛÓ ÖÑ ÓÒ Ó× ÐÐ ØÓÖ×
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