There is no quantum world. There is only an abstract physical description. It is wrong to think that the task of physics is to find out how nature is. Physics concerns what we can say about nature.
[1]
There is no definitive statement of the Copenhagen Interpretation
[2] since it consists of the views developed by a number of scientists and philosophers at the turn of the 20th Century. Thus, there are a number of ideas that have been associated with the Copenhagen interpretation.
Asher Peres remarked that very different, sometimes opposite, views are presented as
the Copenhagen interpretation by different authors.
[3]
Principles
- A system is completely described by a wave function ψ, which represents an observer's knowledge of the system. (Heisenberg)
- The description of nature is essentially probabilistic. The probability of an event is related to the square of the amplitude of the wave function. (Max Born)
- Heisenberg's uncertainty principle ensures that it is not possible to know the values of all of the properties of the system at the same time; those properties that are not known with precision must be described by probabilities.
- (Complementary Principle) Matter exhibits a wave-particle duality. An experiment can show the particle-like properties of matter, or wave-like properties, but not both at the same time.(Niels Bohr)
- Measuring devices are essentially classical devices, and measure classical properties such as position and momentum.
- The Correspondence Principle of Bohr and Heisenberg, saying that the quantum mechanical description of large systems should closely approximate to the classical description.
The meaning of the wave function
The Copenhagen Interpretation (sometimes abbreviated by CI in what follows) denies that the wave function is real, or is at least non-committal about its reality.
There are some who say that there are
objective variants of the Copenhagen Interpretation that allow for a "real" wave function, but it is questionable whether that view is really consistent with
positivism and some of Bohr's statements.
Niels Bohr emphasized that Science is concerned with the predictions of experiments, additional questions are not scientific but rather meta-physical. Bohr was heavily influenced by positivism. On the other hand, Bohr and Heisenberg were not in complete agreement, and took different views at different times. Heisenberg in particular was prompted to move towards
realism.
[4]
Even if the wave function is not regarded as real, there is still a divide between those who treat it as definitely and entirely subjective, and those who are non-committal or agnostic about the subject.
An example of the
agnostic view is given by von Weiszacker, who, while participating in a colloquium at Cambridge, denied that the CI asserted: "What cannot be observed does not exist". He suggested instead that the CI follows the principle: "What is observed certainly exists; about what is not observed we are still free to make suitable assumptions. We use that freedom to avoid paradoxes."
[5]
The
subjective view, that the wave function is merely a mathematical tool for calculating probabilities of specific experiment, is a similar approach to the
Ensemble interpretation.
The nature of collapse
All versions of the Copenhagen interpretation include at least a formal or methodological version of
wave function collapse,
[6] in which unobserved eigenvalues are removed from further consideration. (In other words, Copenhagenists have never rejected collapse, even in the early days of quantum physics, in the way that
many worlds adherents do.)
An adherent of the subjective view, that the wave function represents nothing but knowledge, would take an equally subjective view of "collapse", as nothing more than an observer becoming informed about something that was previously ambiguous. The existence of collapse as an
objective process, with obvious implications about the reality of the wave function, is more contentious.