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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Bernardini, Alex E. [1] ; da Rocha, Roldao [2]
Total Authors: 2
Affiliation:
[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
Total Affiliations: 2
Document type: Journal article
Source: Physics Letters A; v. 380, n. 29-30, p. 2279-2287, JUL 1 2016.
Web of Science Citations: 6
Abstract

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)

FAPESP's process: 15/10270-0 - Fluid / gravity correspondence and applications
Grantee:Roldão da Rocha Junior
Support type: Regular Research Grants
FAPESP's process: 15/05903-4 - SU(2) x SU(2) bi-spinor structure entanglement and additional quantum correlations exhibited by Dirac-like systems as graphene and trapped ions
Grantee:Alex Eduardo de Bernardini
Support type: Regular Research Grants