Measurement in quantum mechanics: Difference between revisions

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The '''measurement problem''' in [[quantum mechanics]] concerns the interaction of a macroscopic measurement apparatus with an observed quantum mechanical system, and the so-called "collapse" of the wavefunction upon measurement from a superposition of possibilities to a defined state. A review can be found in Zurek,<ref name=Zurek>  
In [[quantum mechanics]], '''measurement''' concerns the interaction of a macroscopic measurement apparatus with an observed quantum mechanical system, and the so-called "collapse" of the wavefunction upon measurement from a superposition of possibilities to a defined state. A review can be found in Zurek,<ref name=Zurek>  


{{cite journal |title=Decoherence, einselection, and the quantum origins of the classical |author=W. Hubert Zurek |journal=Rev Mod Phys |volume=vol. 75 |date=July, 2003 |pages=pp. 715 ''ff''|url=http://hubcap.clemson.edu/~daw/D_PHYS455/RevModPhys.v75p715y03.pdf}}
{{cite journal |title=Decoherence, einselection, and the quantum origins of the classical |author=W. Hubert Zurek |journal=Rev Mod Phys |volume=vol. 75 |date=July, 2003 |pages=pp. 715 ''ff''|url=http://hubcap.clemson.edu/~daw/D_PHYS455/RevModPhys.v75p715y03.pdf}}
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The most famous illustration of this problem is [[Quantum_mechanics#The_.22Schr.C3.B6dinger.27s_Cat.22_question|Schrödinger's cat]], in which a random quantum event like a radioactive decay is set up to kill a cat in a box. In the microscopic description, the cat is described by a superposition of "alive" and "dead" possibilities, and we have the peculiar result that we are in a state of suspense until we open the box to see what has happened.<ref name=Schrödinger>
==Paradox==
The interpretation of measurement in quantum maechanics has led to a number of puzzles. The most famous illustration is [[Quantum_mechanics#The_.22Schr.C3.B6dinger.27s_Cat.22_question|Schrödinger's cat]], in which a random quantum event like a radioactive decay is set up to kill a cat in a box. In the microscopic description, the cat is described by a superposition of "alive" and "dead" possibilities, and we have the peculiar result that we are in a state of suspense until we open the box to see what has happened.<ref name=Schrödinger>


{{cite journal |title=The present situation in quantum mechanics; a translation of Schrödinger's "cat paradox paper" |author=Erwin Schrödinger (John D. Trimmer, translator) |journal=Proc American Phil Soc |volume=vol. 124 |pages=pp. 323-388 |url=http://www.tu-harburg.de/rzt/rzt/it/QM/cat.html#sect5 |date=Original published in German in ''Naturwissenschaften'' 1935}}
{{cite journal |title=The present situation in quantum mechanics; a translation of Schrödinger's "cat paradox paper" |author=Erwin Schrödinger (John D. Trimmer, translator) |journal=Proc American Phil Soc |volume=vol. 124 |pages=pp. 323-388 |url=http://www.tu-harburg.de/rzt/rzt/it/QM/cat.html#sect5 |date=Original published in German in ''Naturwissenschaften'' 1935}}

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In quantum mechanics, measurement concerns the interaction of a macroscopic measurement apparatus with an observed quantum mechanical system, and the so-called "collapse" of the wavefunction upon measurement from a superposition of possibilities to a defined state. A review can be found in Zurek,[1] and in Riggs.[2]

Paradox

The interpretation of measurement in quantum maechanics has led to a number of puzzles. The most famous illustration is Schrödinger's cat, in which a random quantum event like a radioactive decay is set up to kill a cat in a box. In the microscopic description, the cat is described by a superposition of "alive" and "dead" possibilities, and we have the peculiar result that we are in a state of suspense until we open the box to see what has happened.[3] Is this uncertainty about us (the observers), or the state of the cat?

Notes

  1. W. Hubert Zurek (July, 2003). "Decoherence, einselection, and the quantum origins of the classical". Rev Mod Phys vol. 75: pp. 715 ff.
  2. Peter J. Riggs (2009). “§2.3.1 The measurement problem”, Quantum Causality: Conceptual Issues in the Causal Theory of Quantum Mechanics. Springer, pp. 31 ff. ISBN 9048124026. 
  3. Erwin Schrödinger (John D. Trimmer, translator) (Original published in German in Naturwissenschaften 1935). "The present situation in quantum mechanics; a translation of Schrödinger's "cat paradox paper"". Proc American Phil Soc vol. 124: pp. 323-388.