Perturbatively deformed defects in Poschl-Teller-driven scenarios for quantum mechanics

Autor(es)

Bernardini, Alex E. ^[1] ; da Rocha, Roldao ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Sao Carlos, Dept Fis, POB 676, BR-13565905 Sao Carlos, SP - Brazil

^[2] Univ Fed ABC, CMCC, BR-09210580 Santo Andre, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Physics Letters A; v. 380, n. 29-30, p. 2279-2287, JUL 1 2016.
• Citações Web of Science: 6

Resumo

Poschl-Teller-driven solutions for quantum mechanical fluctuations are triggered off by single scalar field theories obtained through a systematic perturbative procedure for generating deformed defects. The analytical properties concerning the quantum fluctuations in one-dimension, zero-mode states, first- and second-excited states, and energy density profiles are all obtained from deformed topological and non topological structures supported by real scalar fields. Results are firstly derived from an integrated lambda phi(4) theory, with corresponding generalizations applied to starting lambda chi(4) and sine-Gordon theories. By focusing our calculations on structures supported by the lambda phi(4) theory, the outcome of our study suggests an exact quantitative correspondence to Poschl-Teller-driven systems. Embedded into the perturbative quantum mechanics framework, such a correspondence turns into a helpful tool for computing excited states and continuous mode solutions, as well as their associated energy spectrum, for quantum fluctuations of perturbatively deformed structures. Perturbative deformations create distinct physical scenarios in the context of exactly solvable quantum systems and may also work as an analytical support for describing novel braneworld universes embedded into a 5-dimensional gravity bulk. (C) 2016 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 15/10270-0 - Correspondência fluido / gravidade e aplicações
• Beneficiário: Roldão da Rocha
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 15/05903-4 - Emaranhamento de estruturas de bi-espinores no SU(2) x SU(2) e correlações quânticas adicionais exibidas por sistemas tipo-Dirac como grafeno e íons aprisionados
• Beneficiário: Alex Eduardo de Bernardini
• Modalidade de apoio: Auxílio à Pesquisa - Regular