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PB
Einstein never really liked it, even until the day he died, did
he?
Heisenberg:I
saw Einstein in Princeton a few months before his death. We discussed
quantum theory through one whole afternoon, but we could
not agree on the interpretation. He agreed about the experimental
tests of quantum mechanics, but he disliked the interpretation.
DP
I felt that at some point there was a slight divergence between
your views and Bohr 's, although together you are credited with
the Copenhagen interpretation of quantum mechanics.
Heisenberg:That
is quite true, but the divergence concerned more the method by
which the interpretation was found than the interpretation itself.
My point
of view was that, from the mathematical scheme of quantum
mechanics, we had at least a partial interpretation, inasmuch
as we can say, for instance, that those eigenvalues which we
determine are the energy values of the discrete stationary states,
or those amplitudes which we determine are responsible for the
intensities of the emitted lines, and so on. I believed it must
be possible,
by just extending this partial interpretation, to get to a complete
interpretation. Following this way of thinking, I came to the
uncertainty relations.
Now, Bohr had
taken a different starting-point. He had started with the
dualism between waves and particles - the waves of Schrödinger
and the particles in quantum mechanics - and tried, from
this dualism, to introduce the term complementarity, which was
sufficiently abstract to meet the situation. At first we both felt
there
was a real discrepancy between the two interpretations, but later
we saw that they were identical. For three or four weeks there was
a real difference of opinion between Bohr and myself, but that turned
out to be irrelevant.
DP
Did this have its origin in your different philosophical approaches?
Heisenberg:
That may be. Bohr's mind was formed by pragmatism to some extent,
I would say. He had lived in England for a longer period and discussed
things with British physicists, so he had a pragmatic attitude
which all the Anglo-Saxon physicists had. My mind was formed
by studying philosophy, Plato and that sort of thing. This gives
a different attitude. Bohr was perhaps somewhat surprised that
one should finally have a very simple mathematical scheme which
could cover the whole field of quantum theory. He would probably
have expected that one would never get such a self-consistent
mathematical scheme, that one would always be bound
to use different concepts for different experiments, and that physics
would always remain in that somewhat vague state in which it
was at the beginning of the 1920s.
DP
In the interpretation you gave at that time, you seemed to imply
that there did exist an ideal path and that somehow the act of measuring
disturbed the path. This is not quite the same as the interpretation
that you hold now, is it?
Heisenberg:I
will say that for us, that is for Bohr and myself, the most important
step
was to see that our language is not sufficient to describe the situation.
A word such as path is quite understandable in the ordinary
realm of physics when we are dealing with stones, or grass, etc.,
but it is not really understandable when it has to do with electrons.
In a cloud chamber, for instance, what we see is not the path
of an electron, but, if we are quite honest, only a sequence of
water
droplets in the chamber. Of course we like to interpret this sequence
as a path of the electron, but this interpretation is only possible
with restricted use of such words as position and velocity.
So the decisive
step was to see that all those words we used in classical
physics - position, velocity, energy, temperature, etc. - have
only a limited range of applicability.
The point is
we are bound up with a language, we are hanging in the language.
If we want to do physics, we must describe our experiments
and the results to other physicists, so that they can be verified
or checked by others. At the same time, we know that the words
we use to describe the experiments have only a limited range of
applicability. That is a fundamental paradox which we have to confront.
We cannot avoid it; we have simply to cope with it, to find
what is the best thing we can do about it.
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