Harmonic Oscillator SUSY Partners and Evolution Loops

Symmetry Integrability and Geometry-Methods and Applications

article

David J. Fernández¹ 

[1] Departamento de Física

关键词: supersymmetric quantum mechanics;    quantum harmonic oscillator;    polynomial Heisenberg algebra;    geometric phase;   

DOI  :  10.3842/SIGMA.2012.041

来源: National Academy of Science of Ukraine

【 摘 要 】

Supersymmetric quantum mechanics is a powerful tool for generating exactly solvable potentials departing from a given initial one. If applied to the harmonic oscillator, a family of Hamiltonians ruled by polynomial Heisenberg algebras is obtained. In this paper it will be shown that the SUSY partner Hamiltonians of the harmonic oscillator can produce evolution loops. The corresponding geometric phases will be as well studied.

【 授权许可】

Unknown