We obtain time dependent solutions for a Schrondiger equation in the presence of a nonlocal term by using the Green function approach. These solutions are compared with recent results obtained for the fractional Schrodinger equation as well as for the usual one. The nonlocal term incorporated in the Schrodinger equation may also be related to the spatial and time fractional derivative and introduces different regimes of spreading of the solution with the time evolution. (C) 2008 American Institute of Physics.
机构:
Univ Roma Tre, Dipartimento Matemat, I-00146 Rome, ItalyUniv Roma Tre, Dipartimento Matemat, I-00146 Rome, Italy
Gentile, Guido
Procesi, Michela
论文数: 0引用数: 0
h-index: 0
机构:
Univ Roma Tre, Dipartimento Matemat, I-00146 Rome, Italy
Univ Naples Federico 2, Dipartimento Matemat, I-80126 Naples, ItalyUniv Roma Tre, Dipartimento Matemat, I-00146 Rome, Italy
机构:
Yamaguchi Univ, Grad Sch Sci & Technol Innovat, Div Appl Math Sci, Ube, Yamaguchi, Japan
Yamaguchi Univ, Grad Sch Sci & Technol Innovat, Div Appl Math Sci, Ube, Yamaguchi 7558611, JapanYamaguchi Univ, Grad Sch Sci & Technol Innovat, Div Appl Math Sci, Ube, Yamaguchi, Japan
机构:
Univ La Rochelle, Lab MIA, EA 3165, Pole Sci & Technol, La Rochelle 17000, France
King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Fac Sci, Jeddah 21589, Saudi ArabiaUniv La Rochelle, Lab MIA, EA 3165, Pole Sci & Technol, La Rochelle 17000, France
Kirane, M.
Nabti, A.
论文数: 0引用数: 0
h-index: 0
机构:
Univ La Rochelle, Lab MIA, EA 3165, Pole Sci & Technol, La Rochelle 17000, FranceUniv La Rochelle, Lab MIA, EA 3165, Pole Sci & Technol, La Rochelle 17000, France
机构:
Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R ChinaShandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
Liu, De-Yin
Sun, Wen-Rong
论文数: 0引用数: 0
h-index: 0
机构:
Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R ChinaShandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China