TY - JOUR
T1 - An exactly soluble model of a shallow double well
AU - Muñoz-Vega, R.
AU - López-Chávez, E.
AU - Salinas-Hernández, E.
AU - Flores-Godoy, J. J.
AU - Fernández-Anaya, G.
N1 - Funding Information:
The support of CONACYT (Mexico) is duly acknowledged by all authors. E.S.H. also acknowledges the support of COFFA-IPN and EDI-IPN . R.M.V. gratefully acknowledges the financial support of FICSAC (UIA) and the sabbatical leave program of UACM , as well as the warm hospitality of Departamento de Física y Matemáticas of UIA.
PY - 2014/6/13
Y1 - 2014/6/13
N2 - Shallow one-dimensional double-well potentials appear in atomic and molecular physics and other fields. Unlike the "deep" wells of macroscopic quantum coherent systems, shallow double wells need not present low-lying two-level systems. We argue that this feature, the absence of a low-lying two-level system in certain shallow double wells, may allow the finding of new test grounds for quantum mechanics in mesoscopic systems. We illustrate the above ideas with a family of shallow double wells obtained from reflectionless potentials through the Darboux-Bäcklund transform.
AB - Shallow one-dimensional double-well potentials appear in atomic and molecular physics and other fields. Unlike the "deep" wells of macroscopic quantum coherent systems, shallow double wells need not present low-lying two-level systems. We argue that this feature, the absence of a low-lying two-level system in certain shallow double wells, may allow the finding of new test grounds for quantum mechanics in mesoscopic systems. We illustrate the above ideas with a family of shallow double wells obtained from reflectionless potentials through the Darboux-Bäcklund transform.
KW - Double-well potentials
KW - Quantum macroscopic phenomena
KW - Quantum theory
KW - Tunneling
UR - http://www.scopus.com/inward/record.url?scp=84903776003&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2014.05.047
DO - 10.1016/j.physleta.2014.05.047
M3 - Artículo
SN - 0375-9601
VL - 378
SP - 2070
EP - 2073
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 30-31
ER -