Crum's Theorem for `Discrete' Quantum Mechanics
Odake, Satoru ; Sasaki, Ryu
arXiv, 0902.2593 / Harvested from arXiv
Text on arXiv
In one-dimensional quantum mechanics, or the Sturm-Liouville theory, Crum's theorem describes the relationship between the original and the associated Hamiltonian systems, which are iso-spectral except for the lowest energy state. Its counterpart in `discrete' quantum mechanics is formulated algebraically, elucidating the basic structure of the discrete quantum mechanics, whose Schr\"odinger equation is a difference equation.
Publié le : 2009-02-15
Classification:  Mathematical Physics,  High Energy Physics - Theory,  Mathematics - Classical Analysis and ODEs,  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  Quantum Physics 
@article{0902.2593,
     author = {Odake, Satoru and Sasaki, Ryu},
     title = {Crum's Theorem for `Discrete' Quantum Mechanics},
     journal = {arXiv},
     volume = {2009},
     number = {0},
     year = {2009},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0902.2593}
}

Odake, Satoru; Sasaki, Ryu. Crum's Theorem for `Discrete' Quantum Mechanics. arXiv, Tome 2009 (2009) no. 0, . http://gdmltest.u-ga.fr/item/0902.2593/