Fractional Calculus and the Schrödinger Equation
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Mainardi, F. | |
| dc.contributor.author | Mura, A. | |
| dc.contributor.author | Scalas, E. | |
| dc.date.accessioned | 2022-04-29T12:58:56Z | |
| dc.date.accessioned | 2025-09-18T12:09:02Z | |
| dc.date.available | 2022-04-29T12:58:56Z | |
| dc.date.available | 2025-09-18T12:09:02Z | |
| dc.date.issued | 2006 | |
| dc.description.abstract | In this paper, a derivation of the fractional Schrödinger equation is presented for the simple case of a pure diffusive process with dissipation. The Gaussian white noise is replaced by more general kinds of white noise and both the Markovian both the Markovian (β = 1) and non-Markovian case (0 < β < 1) are considered. Copyright © 2006 IFAC. | en_US |
| dc.description.sponsorship | Dipartimento di Scienze e Tecnologie Avanzate; Università del Piemonte Orientale | en_US |
| dc.identifier.citation | Scalas, Enrico...et al. (2006). "Fractional calculus and the Schrödinger equation", IFAC Proceedings Volumes (IFAC-PapersOnline), Vol. 2, No. PART 1, pp. 234-237. | en_US |
| dc.identifier.doi | 10.3182/20060719-3-pt-4902.00043 | |
| dc.identifier.isbn | 9783902661128 | |
| dc.identifier.issn | 1474-6670 | |
| dc.identifier.scopus | 2-s2.0-79961115664 | |
| dc.identifier.uri | https://doi.org/10.3182/20060719-3-pt-4902.00043 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11283 | |
| dc.language.iso | en | en_US |
| dc.publisher | IFAC Secretariat | en_US |
| dc.relation.ispartof | IFAC Proceedings Volumes (IFAC-PapersOnline) | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Diffusion Equation | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Quantum Mechanics | en_US |
| dc.subject | Schrödinger Equation | en_US |
| dc.title | Fractional Calculus and the Schrödinger Equation | en_US |
| dc.title | Fractional calculus and the Schrödinger equation | tr_TR |
| dc.type | Conference Object | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Scalas E., Università del Piemonte Orientale, Dipartimento di Scienze e Tecnologie Avanzate, 15100, Alessandria, via Bellini 25g, Italy, INFM Genova, 16146, Genova, via Dodecaneso 33, Italy; Baleanu D., Çankaya University, Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, 06530, Balgat, Ankara, Turkey, Institute of Space Sciences, MG-23, Magurele-Bucharest, R 76900, PO Box, Romania; Mainardi F., Università di Bologna, Dipartimento di Fisica, 40126 Bologna, via Irnerio 46, Italy; Mura A., Università di Bologna, Dipartimento di Fisica, 40126 Bologna, via Irnerio 46, Italy | en_US |
| gdc.description.endpage | 237 | en_US |
| gdc.description.issue | PART 1 | en_US |
| gdc.description.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 234 | en_US |
| gdc.description.volume | 2 | en_US |
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| gdc.virtual.author | Baleanu, Dumitru | |
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