%0 Journal Article %1 Bermudez2013290 %A Bermudez, David %A C., David J. Fernández %D 2013 %J Annals of Physics %K equation mechanics physics quantum schrodinger solution susy %N 1 %P 290 - 306 %R 10.1016/j.aop.2013.02.015 %T Factorization method and new potentials from the inverted oscillator %U http://www.sciencedirect.com/science/article/pii/S0003491613000560 %V 333 %X Abstract In this article we will apply the first- and second-order supersymmetric quantum mechanics to obtain new exactly-solvable real potentials departing from the inverted oscillator potential. This system has some special properties; in particular, only very specific second-order transformations produce non-singular real potentials. It will be shown that these transformations turn out to be the so-called complex ones. Moreover, we will study the factorization method applied to the inverted oscillator and the algebraic structure of the new Hamiltonians.

@article{Bermudez2013290, abstract = {Abstract In this article we will apply the first- and second-order supersymmetric quantum mechanics to obtain new exactly-solvable real potentials departing from the inverted oscillator potential. This system has some special properties; in particular, only very specific second-order transformations produce non-singular real potentials. It will be shown that these transformations turn out to be the so-called complex ones. Moreover, we will study the factorization method applied to the inverted oscillator and the algebraic structure of the new Hamiltonians. }, added-at = {2013-05-25T17:57:56.000+0200}, author = {Bermudez, David and C., David J. Fernández}, biburl = {https://www.bibsonomy.org/bibtex/2dcdb3f306eace9fb8c32a0cef2bcde41/drmatusek}, doi = {10.1016/j.aop.2013.02.015}, interhash = {357c214698cf4ccc222c3467c28b6d14}, intrahash = {dcdb3f306eace9fb8c32a0cef2bcde41}, issn = {0003-4916}, journal = {Annals of Physics }, keywords = {equation mechanics physics quantum schrodinger solution susy}, month = jun, number = 1, pages = {290 - 306}, timestamp = {2013-10-12T04:06:14.000+0200}, title = {Factorization method and new potentials from the inverted oscillator }, url = {http://www.sciencedirect.com/science/article/pii/S0003491613000560}, volume = 333, year = 2013 }