dc.creatorKondej S.
dc.creatorVaz Jr. J.
dc.date2012
dc.date2015-06-25T20:23:55Z
dc.date2015-11-26T15:19:08Z
dc.date2015-06-25T20:23:55Z
dc.date2015-11-26T15:19:08Z
dc.date.accessioned2018-03-28T22:28:41Z
dc.date.available2018-03-28T22:28:41Z
dc.identifier
dc.identifierJournal Of Mathematical Physics. , v. 53, n. 3, p. - , 2012.
dc.identifier222488
dc.identifier10.1063/1.3691199
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-84859337766&partnerID=40&md5=86d176fd890e7724ee5f5b992dfd7a23
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/90115
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/90115
dc.identifier2-s2.0-84859337766
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1259675
dc.descriptionWe 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.description53
dc.description3
dc.description
dc.description
dc.descriptionAlbeverio, 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.descriptionBandrowski, 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.descriptionBandrowski, 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.descriptionBraaksma, 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.descriptionCapelas 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.descriptionCapelas 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.descriptionExner, 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.descriptionExner, 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.descriptionExner, 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.descriptionExner, 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.descriptionGuo, X., Xu, M., Some physical applications of fractional Schrr̈odinger equation (2006) J. Math. Phys., 47, p. 082104. , 10.1063/1.2235026
dc.descriptionGradshteyn, I.S., Ryzhik, I.M., (2007) Table of Integrals, Series, and Products, , 7th ed., (Academic, New York)
dc.descriptionJeng, 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.descriptionDong, 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.descriptionKilbas, A.A., Srivastava, H.M., Trujillo, J.J., (2006) Theory and Applications of Fractional Differential Equations, , (Elsevier, Amsterdam)
dc.descriptionLaskin, N., Fractional quantum mechanics and Lévy path integrals (2000) Phys. Lett. A, 268, pp. 298-305. , 10.1016/S0375-9601(00)00201-2
dc.descriptionLaskin, N., Fractional quantum mechanics (2000) Phys. Rev. E, 62, pp. 3135-3145. , 10.1103/PhysRevE.62.3135
dc.descriptionLaskin, N., Fractal and quantum mechanics (2000) Chaos, 10, pp. 780-790. , 10.1063/1.1050284
dc.descriptionMathai, A.M., Saxena, R.K., Haubold, H.J., (2009) The H-Function, , (Springer, New York)
dc.descriptionNaber, M., Time fractional Schrödinger equation (2004) J. Math. Phys., 45, pp. 3339-3352. , 10.1063/1.1769611
dc.descriptionOberhetting, F., (1974) Tables of Mellin Transforms, , (Springer, New York)
dc.descriptionReed, M., Simon, B., (1975) Methods of Modern Mathematical Physics. II. Fourier Analysis, , (Academic, New York)
dc.descriptionPosilicano, 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.descriptionStollmann, P., Voigt, J., Perturbation of Dirichlet forms by measures (1996) Potential Anal., 5, pp. 109-138. , 10.1007/BF00396775
dc.languageen
dc.publisher
dc.relationJournal of Mathematical Physics
dc.rightsaberto
dc.sourceScopus
dc.titleFractional Schrödinger Operator With Delta Potential Localized On Circle
dc.typeArtículos de revistas


Este ítem pertenece a la siguiente institución