Position dependent mass Scarf Hamiltonians generated via the Riccati equation. (21st May 2018)

• Record Type: Journal Article
• Authors: Cruz y Cruz, S; Santiago‐Cruz, C
• Other Names: Kravchenko Vladislav V. guestEditor.; Porter R. Michael guestEditor.; Torba Sergii M. guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 42:Number 15(2019)
• Page Start: 4909
• Page End: 4924
• Publication Date: 2018-05-21
• Subjects: Position‐dependent mass -- Scarf potentials -- Special quantum systems, such as solvable systems -- Supersymmetry and quantum mechanics; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.5068
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : The construction of position dependent mass Scarf Hamiltonians of the trigonometric as well as the hyperbolic types is addressed by means of the factorization method and the Riccati equation. These Hamiltonians are shown to be independent of the ordering parameter of the kinetic term. Additionally, new families of Hamiltonians with the Scarf spectrum are also determined by supersymmetry. Some examples for masses with and without singularities are considered to illustrate our results.