On the calculation of bound-state energies supported by hyperbolic double well potentials

التفاصيل البيبلوغرافية
العنوان: On the calculation of bound-state energies supported by hyperbolic double well potentials
المؤلفون: Francisco Marcelo Fernández
سنة النشر: 2020
مصطلحات موضوعية: Quantum Physics, FOS: Physical sciences, Mathematics::Spectral Theory, Quantum Physics (quant-ph)
الوصف: We obtain eigenvalues and eigenfunctions of the Schr\"{o}dinger equation with a hyperbolic double-well potential. We consider exact polynomial solutions for some particular values of the potential-strength parameter and also numerical energies for arbitrary values of this model parameter. We test the numerical method by means of a suitable exact asymptotic expression for the eigenvalues and also calculate critical values of the strength parameter that are related to the number of bound states supported by the potential.
اللغة: English
URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b8b9113f0ed696bd81d5686b207d5415
http://arxiv.org/abs/2012.05113
Rights: OPEN
رقم الانضمام: edsair.doi.dedup.....b8b9113f0ed696bd81d5686b207d5415
قاعدة البيانات: OpenAIRE