DOI:10.1103/PhysRevA.60.1874 - Corpus ID: 27371899
Complementarity and the uncertainty relations
@article{Bjork1999ComplementarityAT, title={Complementarity and the uncertainty relations}, author={Gunnar G. Bjork and Jonas Soderholm and Alexei S. Trifonov and Tedros Tsegaye and Anders Karlsson}, journal={Physical Review A}, year={1999}, volume={60}, pages={1874-1882}, url={https://api.semanticscholar.org/CorpusID:27371899}}- G. BjorkJ. SoderholmA. Karlsson
- Published19 April 1999
- Physics
- Physical Review A
We formulate a general complementarity relation starting from any Hermitian operator with discrete nondegenerate eigenvalues. We then elucidate the relationship between quantum complementarity and the Heisenberg-Robertson uncertainty relation. We show that they are intimately connected. Finally we exemplify the general theory with some specific suggested experiments.
44 Citations
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Generalized uncertainty relations and coherent and squeezed states.
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5 References
Quantum mechanics
- E. Merzbacher
- 1961
Physics
Quantum mechanics (QM) is the modern physical theory of very small (microscopic) systems, typically atomic-sized or smaller. Along with Einstein's theory of relativity, QM represented a major…
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