Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability
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🪐 quant-ph
math-phmath.MP
keywords
coordinatespolarposition-dependent-massseparabilitycorrespondingdiscussedenergyequation
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The kinetic energy operator with position-dependent-mass in plane polar coordinates is obtained. The separability of the corresponding Schr\"odinger equation is discussed. A hypothetical toy model is reported and two exactly solvable examples are studied.
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