PT Journal
AU Bazeia, D
   Losano, L
   Olmo, GJ
TI Novel connection between lump-like structures and quantum mechanics
SO European Physical Journal Plus
JI Eur. Phys. J. Plus
PY 2018
BP 251 - 10pp
VL 133
IS 7
DI 10.1140/epjp/i2018-12082-2
LA English
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.
ER