Extension of perturbation theory to quantum systems with conformable derivative

Autor:	Eqab M. Rabei, Ahmed Al-Jamel, Dumitru Baleanu, Mohamed Al-Masaeed
Rok vydání:	2021
Předmět:	Physics Nuclear and High Energy Physics General Physics and Astronomy Order (ring theory) Astronomy and Astrophysics Extension (predicate logic) Conformable matrix Hamiltonian system chemistry.chemical_compound Classical mechanics chemistry Perturbation theory Quantum Derivative (chemistry)
Zdroj:	Modern Physics Letters A. 36
ISSN:	1793-6632 0217-7323
Popis:	In this paper, the perturbation theory is extended to be applicable for systems containing conformable derivative of fractional order [Formula: see text]. This is needed as an essential and powerful approximation method for describing systems with conformable differential equations that are difficult to solve analytically. The work here is derived and discussed for the conformable Hamiltonian systems that appears in the conformable quantum mechanics. The required [Formula: see text]-corrections for the energy eigenvalues and eigenfunctions are derived. To demonstrate this extension, three illustrative examples are given, and the standard values obtained by the traditional theory are recovered when [Formula: see text].
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::319a4182f70a81cedb6359ba8e091274 https://doi.org/10.1142/s021773232150228x Zobrazit plný text záznamu