TY  - JOUR
AU  - Bazeia, D.
AU  - Losano, L.
AU  - Olmo, G. J.
PY  - 2018
DA  - 2018//
TI  - Novel connection between lump-like structures and quantum mechanics
T2  - Eur. Phys. J. Plus
JO  - European Physical Journal Plus
SP  - 251 - 10pp
VL  - 133
IS  - 7
PB  - Springer Heidelberg
AB  - This work deals with lump-like structures in models described by a single real scalar field in two-dimensional spacetime. We start with a model that supports lump-like configurations and use the deformation procedure to construct scalar field theories that support both lumps and kinks, with the corresponding stability investigation giving rise to new physical systems. Very interestingly, we find models that support stable topological solutions, with the stability potential being able to support a tower of non-negative bound states, generating distinct families of potentials of current interest to quantum mechanics. We also describe models where the lump-like solutions give rise to stability potentials that have the shape of a double well.
SN  - 2190-5444
UR  - http://arxiv.org/abs/1806.00346
UR  - https://doi.org/10.1140/epjp/i2018-12082-2
DO  - 10.1140/epjp/i2018-12082-2
LA  - English
N1  - WOS:000439341000001
ID  - Bazeia_etal2018
ER  -