TITLE:
Modification of Constants in the Schrödinger Equation Giving Access to Neutrino Behavior
AUTHORS:
Amaury de Kertanguy
KEYWORDS:
Schrödinger Equation, Planck Constant, Particle Physics, Neutrino Physics
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.11,
November
25,
2024
ABSTRACT: The paper deals with a study of the Schrödinger equation with an original approach. Recalling the well-known relation:
p→iℏ
Δ
r
. It considers this equation for which the kinetic factor is
E
Kin
=
p
2
2M
=−
ℏ
2
2M
Δ
r
2
. Making the kinetic factor
E
Kin
=−
Δ
r
2
can be obtained if one defines a mass
M=
ℏ
2
2
, very small and close to the accepted mass of a neutrino
ν
e
. The Schrödinger equation reduces to:
−
Δ
r
2
ϕ(
r
)=Eϕ(
r
)
. The energy E is that given by Dirac (1927), (c being the light velocity), with his remark that two solutions exist
E=±
p
2
c
2
+
M
2
c
4
. The body of this paper shows all solutions obtained when solving the simplified Schrödinger equation.