Oscilador Harmônico Quântico 1D Confinado e sua Energia Variacional obtida com Auxílio da Supersimetria
DOI:
https://doi.org/10.5540/tema.2005.06.01.0073Abstract
O estado fundamental do oscilador harmônico quântico unidimensional confinado é determinado através do Método Variacional aliado ao formalismo da Mecânica Quântica Supersimétrica. São apresentados resultados numéricos para vários valores do raio de confinamento. Observa-se que o autovalor de energia para o problema não confinado é recuperado quando este raio se torna muito grande.References
[1] V.C. Aguilera-Navarro, J.F. Gomes, A.H. Zimerman e E. Ley Koo, On the radius of convergence of Rayleigh-Schr¨odinger perturbative solutions for quantum oscillators in circular and spherical boxes, J. Math. Phys.: Math. Gen. A, 16 (1983), 2943-2952.
G.R.P. Borges e E. Drigo Filho, Supersimetria em Mecânica Quântica II: Oscilador Harmonico e Potencial Coulombiano, Rev. Bras. Ens. Fis., 21 (1999), 233-237.
G.R.P. Borges e E. Drigo Filho, Supersymmetry, Variational Method and the Lennard-Jones (12,6) Potential, Int. J. Mod. Phys. A, 16 (2001), 4401-4407.
F. Cooper, A. Kare e U.P. Sukatme, “Supersymmetric Quantum Mechanics”, World Scientific, Singapure, 2001.
E. Drigo Filho, Supersimetria em Mecânica Quântica, Rev. Bras. Ens. Fis., 19 (1997), 152-158.
E. Drigo Filho e R.M. Ricotta, Partial Algebraization of the Non-Polynomial Potential, Mod. Phys. Lett. A, 6 (1991), 2137-2142.
E. Drigo Filho e R.M. Ricotta, Supersymmetric Quantum Mechanics and Partially Solvable Potential, Phys. At. Nucl., 61 (1998), 1722-1725.
E. Drigo Filho e R.M. Ricotta, Supersymmetry, Variational Method and Hulthen Potential, Mod. Phys. Lett. A, 10 (1995), 1613-1618.
E. Drigo Filho e R.M. Ricotta, Morse Potential Energy Spectra through the Variational Method and Supersymmetry, Phys. Lett. A, 269 (2000), 269-276.
E. Drigo Filho e R.M. Ricotta, Supersymmetric Variational Energies of 3d Confined Potentials, Phys. Lett. A, 320 (2003), 95-102.
E. Drigo Filho e R.M. Ricotta, Supersymmetric Variational Energies for the Confined Coulomb System, Phys. Lett. A, 299 (2002), 137-143.
L.E. Gendenshtein e I.V. Kive, Supersymmetry in Quantum Mechanics, Sov. Phys. Usp., 28 (1985), 553-590.
R.W. Haymaker e A.R.P. Rau, Supersymmetry in Quantum-Mechanics, Am. J. Phys., 54 (1986), 928-936.
J.L. Marin e S.A. Cruz, Enclosed Quantum-Systems - Use of the Direct Variational Method, J. Phys. B: At. Mol. Opt. Phys., 24 (1991), 2899-2907.
S.Y. Ren, Quantum confinement in semiconductor Ge quantum dots, Solid State Comm., 102 (1997), 479-484.
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