TY - JOUR
T1 - A new approach to solving the Schrödinger equation using wavefunction potentials in two and three dimensions
AU - Villaflor, Valentina A.
AU - Muñoz-Mosqueira, V. Alejandro
AU - Hojman, Sergio A.
N1 - Publisher Copyright:
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024.
PY - 2024/5
Y1 - 2024/5
N2 - The Madelung–Bohm approach to Quantum Mechanics is used to extend the one-dimensional case to solve the Schrödinger equation by defining potentials for the wavefunctions in two and three dimensions. The relevance of these results to solving the phase retrieval problem (PRP) is stressed. In particular, the one-dimensional problem is solved completely and significant progress is made toward the solution of the PRP in two and three dimensions. Examples are presented.
AB - The Madelung–Bohm approach to Quantum Mechanics is used to extend the one-dimensional case to solve the Schrödinger equation by defining potentials for the wavefunctions in two and three dimensions. The relevance of these results to solving the phase retrieval problem (PRP) is stressed. In particular, the one-dimensional problem is solved completely and significant progress is made toward the solution of the PRP in two and three dimensions. Examples are presented.
UR - http://www.scopus.com/inward/record.url?scp=85192173836&partnerID=8YFLogxK
U2 - 10.1140/epjp/s13360-024-05196-x
DO - 10.1140/epjp/s13360-024-05196-x
M3 - Article
AN - SCOPUS:85192173836
SN - 2190-5444
VL - 139
JO - European Physical Journal Plus
JF - European Physical Journal Plus
IS - 5
M1 - 391
ER -