dc.creator | Kondej S. | |
dc.creator | Vaz Jr. J. | |
dc.date | 2012 | |
dc.date | 2015-06-25T20:23:55Z | |
dc.date | 2015-11-26T15:19:08Z | |
dc.date | 2015-06-25T20:23:55Z | |
dc.date | 2015-11-26T15:19:08Z | |
dc.date.accessioned | 2018-03-28T22:28:41Z | |
dc.date.available | 2018-03-28T22:28:41Z | |
dc.identifier | | |
dc.identifier | Journal Of Mathematical Physics. , v. 53, n. 3, p. - , 2012. | |
dc.identifier | 222488 | |
dc.identifier | 10.1063/1.3691199 | |
dc.identifier | http://www.scopus.com/inward/record.url?eid=2-s2.0-84859337766&partnerID=40&md5=86d176fd890e7724ee5f5b992dfd7a23 | |
dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/90115 | |
dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/90115 | |
dc.identifier | 2-s2.0-84859337766 | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1259675 | |
dc.description | We consider a system governed by the fractional Schödinger operator with a delta potential supported by a circle in R 2. We find out the function counting the number of bound states, in particular, we give the necessary and sufficient conditions for the absence of bound state in our system. Furthermore, we reproduce the form of eigenfunctions and analyze the asymptotic behavior of eigenvalues for the strong coupling constant case. © 2012 American Institute of Physics. | |
dc.description | 53 | |
dc.description | 3 | |
dc.description | | |
dc.description | | |
dc.description | Albeverio, S., Gesztesy, F., Høegh-Krohn, R., Holden, H., (2004) Solvable Models in Quantum Mechanics, , 2nd ed. (with Appendix by P. Exner), (American Mathematical Society, Providence, RI) | |
dc.description | Bandrowski, B., Karczewska, A., Rozmej, P., Numerical solutions to integral equations equivalent to differential equations with fractional time derivative (2010) Int. J. Appl. Math Comput. Sci., 20 (2), pp. 261-269. , 10.2478/v10006-010-0019-1 | |
dc.description | Bandrowski, B., Rozmej, P., On fractional Schrödinger equation (2010) Comput. Methods Sci. Technol., 16 (2), pp. 191-194. , http://www.man.poznan.pl/cmst/2010/_V_16_2/14_Rozmej_G.pdf | |
dc.description | Braaksma, B.L.J., Asymptotic expansions and analytic continuations for a class of Barnes-integrals (1962) Compos. Math., 15, pp. 239-341. , http://archive.numdam.org/ARCHIVE/CM/CM_1962-1964__15_/CM_1962-1964__15__239_0/CM_1962-1964__15__239_0.pdf | |
dc.description | Capelas de Oliveira, E., Silva Costa, F., Vaz, J., The fractional Schödinger operator equation for delta potentials (2010) J. Math. Phys., 51, p. 123517. , 10.1063/1.3525976 | |
dc.description | Capelas de Oliveira, E., Vaz, J., Tunneling in fractional quantum mechanics (2011) J. Phys. A: Math. Theor., 44, p. 185303. , 10.1088/1751-8113/44/18/185303 | |
dc.description | Exner, P., Ichinose, T., Geometrically induced spectrum in curved leaky wires (2001) J. Phys. A, 34, pp. 1439-1450. , 10.1088/0305-4470/34/7/315 | |
dc.description | Exner, P., Kondej, S., Curvature-induced bound states for a δ interaction supported by a curve in (2002) Ann. Henri Poincaré, 3, pp. 967-981. , 10.1007/s00023-002-8644-3 | |
dc.description | Exner, P., Kondej, S., Bound states due to a strong delta interaction supported by a curved surface (2003) J. Phys. A, 36, pp. 443-457. , 10.1088/0305-4470/36/2/311 | |
dc.description | Exner, P., Tater, M., Spectra of soft ring graphs (2004) Waves Random Complex MediaMedia, 14, pp. S47-60. , 10.1088/0959-7174/14/1/010 | |
dc.description | Guo, X., Xu, M., Some physical applications of fractional Schrr̈odinger equation (2006) J. Math. Phys., 47, p. 082104. , 10.1063/1.2235026 | |
dc.description | Gradshteyn, I.S., Ryzhik, I.M., (2007) Table of Integrals, Series, and Products, , 7th ed., (Academic, New York) | |
dc.description | Jeng, M., Xu, S.-L.-Y., Hawkins, E., Schwarz, J.M., On the nonlocality of the fractional Schrödinger equation (2010) J. Math. Phys., 51, p. 062102. , 10.1063/1.3430552 | |
dc.description | Dong, J., Xu, M., Some solutions to the space fractional Schrödinger equation using momentum representation method (2007) J. Math. Phys., 48, p. 072105. , 10.1063/1.2749172 | |
dc.description | Kilbas, A.A., Srivastava, H.M., Trujillo, J.J., (2006) Theory and Applications of Fractional Differential Equations, , (Elsevier, Amsterdam) | |
dc.description | Laskin, N., Fractional quantum mechanics and Lévy path integrals (2000) Phys. Lett. A, 268, pp. 298-305. , 10.1016/S0375-9601(00)00201-2 | |
dc.description | Laskin, N., Fractional quantum mechanics (2000) Phys. Rev. E, 62, pp. 3135-3145. , 10.1103/PhysRevE.62.3135 | |
dc.description | Laskin, N., Fractal and quantum mechanics (2000) Chaos, 10, pp. 780-790. , 10.1063/1.1050284 | |
dc.description | Mathai, A.M., Saxena, R.K., Haubold, H.J., (2009) The H-Function, , (Springer, New York) | |
dc.description | Naber, M., Time fractional Schrödinger equation (2004) J. Math. Phys., 45, pp. 3339-3352. , 10.1063/1.1769611 | |
dc.description | Oberhetting, F., (1974) Tables of Mellin Transforms, , (Springer, New York) | |
dc.description | Reed, M., Simon, B., (1975) Methods of Modern Mathematical Physics. II. Fourier Analysis, , (Academic, New York) | |
dc.description | Posilicano, A., A Krein-like formula for singular perturbations of self-adjoint operators and applications (2001) J. Funct. Anal., 183, pp. 109-147. , 10.1006/jfan.2000.3730 | |
dc.description | Stollmann, P., Voigt, J., Perturbation of Dirichlet forms by measures (1996) Potential Anal., 5, pp. 109-138. , 10.1007/BF00396775 | |
dc.language | en | |
dc.publisher | | |
dc.relation | Journal of Mathematical Physics | |
dc.rights | aberto | |
dc.source | Scopus | |
dc.title | Fractional Schrödinger Operator With Delta Potential Localized On Circle | |
dc.type | Artículos de revistas | |