Sujet : Re: If a quantity isn't real then what is being represented?
De : ram (at) *nospam* zedat.fu-berlin.de (Stefan Ram)
Groupes : sci.mathDate : 14. Aug 2023, 09:10:54
Autres entêtes
Organisation : Stefan Ram
Message-ID : <platelets-20230814090525@ram.dialup.fu-berlin.de>
References : 1 2
AMH <
amh2.71828@gmail.com> writes:
Can you elaborate on the question? Sounds like you are asking about whether=
complex quantities are physical.
Complex numbers can appear in a very natural way.
When a beam of coherent light of a certain frequency is split
(with a half-silvered mirror) and then reunited after each part
has travelled the same length (and was redirected using mirrors),
the interference is constructive, which can be observed.
Introducing a glass platelet of thickness d/2 into one of the two
beams will lead to the observation of a destructive interference,
which is interpreted by saying that the wave of that beam has been
multiplied with (-1) by the platelet. Interference with the other
beam which was not multiplied then leads to destructive interference.
When two platelets of thickness d/2 are introduced into the same
beam, the wave of that beam is being multiplied by (-1) twice.
(-1)*(-1) gives (+1). Multiplication with (+1) is the same as no
multiplication at all, so the interference is constructive again.
A platelet of thickness d thus corresponds to a multiplication
with (+1); a platelet of thickness d/2 corresponds to a
multiplication with (-1), and (-1)*(-1)=(+1).
A platelet of thickness d/2 has the same effect as two platelets
of thickness d/4. So what do platelets of thickness d/4 multiply
the wave with?