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- W2000886873 abstract "It is inferred from the articles on supersymmetric quantum mechanics that a few number of potentials with accurate solutions have been hitherto introduced for the Schrodinger equation. Most of those potentials possess a variable parameter and a constant parameter and some of them have two constant parameters and two variable parameters to achieve various wave functions and energy levels through the operator method. These potentials are derived from the functions called superpotentials. In this paper, first, we start with a general superpotential with two constant parameters and four variable parameters; however in the calculations, we are actually required to apply constraints resulting in three different types of superpotential having characteristics such as: 1) For specific values of parameters, they are transformed into some of previously known superpotentials that this result indicates their correctness. 2) Since such superpotentials generating previous superpotentials have not been heretofore proposed, they are novel. 3) Moreover, the claim that all the previously known superpotentials are subsets of Coulomb superpotential, three-dimensional oscillating superpotential, and transferred oscillating superpotential is new. 4) Each category of three superpotentials above creates potentials whose Klein-Gordon energies have equal distances, but the constraint applied for this purpose reduces the number of variable parameters." @default.
- W2000886873 created "2016-06-24" @default.
- W2000886873 creator A5069908937 @default.
- W2000886873 date "2012-01-01" @default.
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- W2000886873 title "Novel Superpotentials for Supersymmetric Quantum Mechanics: A New Mathematical Investigation and Study" @default.
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- W2000886873 doi "https://doi.org/10.4236/jmp.2012.34043" @default.
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