Isospin particle systems on quaternionic projective spaces / S. Bellucci [et al.]
Уровень набора: Physical Review D, Particles, Fields, Gravitation, and Cosmology, Scientific JournalЯзык: английский.Страна: .Резюме или реферат: We construct the isospin particle system on n-dimensional quaternionic projective spaces in the presence of the Belavin-Polyakov-Schwarz-Tyupkin instanton by the reduction from the free particle on (2n+1)-dimensional complex projective space. Then we add to this system a “quaternionic oscillator potential” and show that this oscillatorlike system is superintegrable. We show that, besides the analogs of quadratic constants of motion of the spherical (Higgs) and CPn oscillators, it possesses the third-order constants of motion, which are functionally independent from the quadratic ones..Примечания о наличии в документе библиографии/указателя: [References: 14 tit.].Аудитория: .Тематика: электронный ресурс | труды учёных ТПУ Ресурсы он-лайн:Щелкните здесь для доступа в онлайн | Щелкните здесь для доступа в онлайнНет реальных экземпляров для этой записи
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[References: 14 tit.]
We construct the isospin particle system on n-dimensional quaternionic projective spaces in the presence of the Belavin-Polyakov-Schwarz-Tyupkin instanton by the reduction from the free particle on (2n+1)-dimensional complex projective space. Then we add to this system a “quaternionic oscillator potential” and show that this oscillatorlike system is superintegrable. We show that, besides the analogs of quadratic constants of motion of the spherical (Higgs) and CPn oscillators, it possesses the third-order constants of motion, which are functionally independent from the quadratic ones.
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