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Research Paper | Physical Science | India | Volume 11 Issue 8, August 2022 | Popularity: 4.7 / 10
Supersymmetric Approach to Solve Interpolated Position - Dependent Mass Hamiltonians
Tapas Kumar Jana
Abstract: Quantum dots, liquid crystals, compositionally graded crystals, and other condensed matter systems all use position dependent effective mass (PDEM) Hamiltonians to describe the dynamics of electrons. Because the PDEM quantum Hamiltonians are not Hermitian, we employ the effective mass kinetic energy operator in Von Ross?s two-parameter form, which is Hermitian by default and contains additional reasonable forms as special instances. It is shown that Hamiltonians of the form H(s)=(1-s)H_-+sH_+,0?s?1 where H_? are supersymmetric partner Hamiltonians corresponding to position dependent mass Schr?dinger equations are exactly solvable for a number of deformed shape invariant potentials.
Keywords: Interpolation, Position-Dependent mass, Shape Invariance
Edition: Volume 11 Issue 8, August 2022
Pages: 1214 - 1217
DOI: https://www.doi.org/10.21275/SR22817170424
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