Isospin particle systems on quaternionic projective spaces
Physical Review D—Particles, Fields, Gravitation, and Cosmology, 2013•APS
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 (2 n+ 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 CP n oscillators, it possesses the third-order constants of motion …
the presence of the Belavin-Polyakov-Schwarz-Tyupkin instanton by the reduction from the
free particle on (2 n+ 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 CP n oscillators, it possesses the third-order constants of motion …
We construct the isospin particle system on -dimensional quaternionic projective spaces in the presence of the Belavin-Polyakov-Schwarz-Tyupkin instanton by the reduction from the free particle on -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 oscillators, it possesses the third-order constants of motion, which are functionally independent from the quadratic ones.
American Physical Society以上显示的是最相近的搜索结果。 查看全部搜索结果