An exactly soluble model of a shallow double well

Abstract

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 Bargman potentials through the Darboux-Bäcklund transform.

9 pages, 2 figures

References in corpus (1)

• Effect of scalings and translations on the supersymmetric quantum mechanical structure of soliton systems

Cited by in corpus (2)

• Oscillating potential well in complex plane and the adiabatic theorem
• On the validity of microscopic calculations of double-quantum-dot spin qubits based on Fock-Darwin states