A note on the eigenvalues of S.π for spin-1 in a constant magnetic field
| العنوان: | A note on the eigenvalues of S.π for spin-1 in a constant magnetic field |
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| المؤلفون: | B de Oliveira, J Jayaraman, M Antonius |
| المصدر: | Journal of Physics A: Mathematical and General. 18:3073-3078 |
| بيانات النشر: | IOP Publishing, 1985. |
| سنة النشر: | 1985 |
| مصطلحات موضوعية: | Matrix differential equation, Quantum mechanics, Spectrum of a matrix, Avoided crossing, Degrees of freedom (physics and chemistry), General Physics and Astronomy, Statistical and Nonlinear Physics, Hermitian matrix, Mathematical Physics, Eigenvalues and eigenvectors, Mathematics, Spin-½, Magnetic field |
| الوصف: | Exploiting the intimate connection of the problem of a charged spin-1 particle in a homogeneous magnetic field to that of a harmonic oscillator, it is demonstrated that the eigenvalues of the matrix operator S. pi for spin-1 and for a constant magnetic field are governed by a Hermitian matrix defined on the space of the particle number n and spin and are thus constrained to be real for any intensity of the external magnetic field H, thereby contradicting a recent affirmation of Weaver (1978) that for n=0, complex eigenvalues are present for sufficiently intense magnetic fields. The errors in Weaver's analysis which have led to complex eigenvalues as well as to an excessive number of eigenvalues compared with that demanded by the spin degrees of freedom are pointed out. |
| تدمد: | 1361-6447 0305-4470 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::612c7bbf1a4aa237e6fc6eacf08e0f2f https://doi.org/10.1088/0305-4470/18/15/030 |
| رقم الأكسشن: | edsair.doi...........612c7bbf1a4aa237e6fc6eacf08e0f2f |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 13616447 03054470 |
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