Электронный каталог

Статья

Abgaryan, V.
Zernike System Revisited: Imaginary Gauge and Higgs Oscillator / V.Abgaryan, A.Nersessian, V.Yeghikyan. – Text : electronic // Modern Physics Letters A. – 2026. – Vol. 41, No. 2-3. – P. 25502220. – URL: https://doi.org/10.1142/S0217732325502220.

We analyze the recently proposed classical/quantum mechanical interpretation of Zernike system and establish its equivalence to the Higgs oscillator on sphere or pseudosphere (Lobachevsky plane). We show that the non-reality of the classical Zernike Hamiltonian is an insignificant artifact of imaginary gauge and can be eliminated with a canonical transformation. The quantum counterpart of this canonical transformation is a similarity transformation mapping the system to the quantum Higgs oscillator with integration measure depending on α , β parameters. When α = 2 β , it results in the Hermitian Hamiltonian describing a free particle on (pseudo)sphere, while deviation from this point leads to a pseudo-Hermitian system.



ОИЯИ = ОИЯИ (JINR)2026