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Miraboutalebi, S.. (1395). Solutions of Morse potential with position-dependent mass by Laplace transform. , 10(4), 323-328. doi: 10.1007/s40094-016-0232-x
S. Miraboutalebi. "Solutions of Morse potential with position-dependent mass by Laplace transform". , 10, 4, 1395, 323-328. doi: 10.1007/s40094-016-0232-x
Miraboutalebi, S.. (1395). 'Solutions of Morse potential with position-dependent mass by Laplace transform', , 10(4), pp. 323-328. doi: 10.1007/s40094-016-0232-x
Miraboutalebi, S.. Solutions of Morse potential with position-dependent mass by Laplace transform. , 1395; 10(4): 323-328. doi: 10.1007/s40094-016-0232-x

Solutions of Morse potential with position-dependent mass by Laplace transform

Journal of Theoretical and Applied Physics
مقاله 9، دوره 10، شماره 4، اسفند 2016، صفحه 323-328  XML اصل مقاله (472.12 K)
شناسه دیجیتال (DOI): 10.1007/s40094-016-0232-x
نویسنده
S. Miraboutalebi email
Department of Physics, Islamic Azad University
چکیده
AbstractIn the framework of the position-dependent mass quantum mechanics, the three dimensional Schrödinger equation is studied by applying the Laplace transforms combining with the point canonical transforms. For the potential analogues to Morse potential and via the Pekeris approximation, we introduce the general solutions appropriate for any kind of position dependent mass profile which obeys a key condition. For a specific position-dependent mass profile, the bound state solutions are obtained through an analytical form. The constant mass solutions are also relived.
کلیدواژه‌ها
Morse potential؛ Pekeris approximation؛ Local mass distribution؛ Point canonical transformation؛ Laplace transformation؛ Bound state
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