An operator for simultaneous unsharp measurement of coordinate and momentum
Апстракт
Starting from a complete but not overcomplete set of coherent states defined on a lattice in the phase space, we construct the orthonormal basis using the procedure due to Lodwin, in which all states to be normalized enter the procedure on equal footing. We show that our normalized states may be interpreted as eigenstates of the operator of simultaneous unsharp measurement of coordinate and momentum. In a sense we followed the classical idea of von Neumann but without drawbacks which in his construction of such an operator were due to the use of the Gram-Schmidt orthonormalization procedure which is somewhat inappropriate for this purpose. We discuss the obtained results.
Извор:
Fortschritte der Physik = Progress of Physics, 2003, 51, 2-3, 92-95Напомена:
- 9th Central European Workshop on Quantum Optics, May 03-06, 2002, Szeged, Hungary
DOI: 10.1002/prop.200310008
ISSN: 0015-8208
WoS: 000181566900006
Scopus: 2-s2.0-0037232824
Колекције
Институција/група
VinčaTY - JOUR AU - Davidović, Dragomir M. AU - Arsenović, Dušan PY - 2003 UR - https://vinar.vin.bg.ac.rs/handle/123456789/6359 AB - Starting from a complete but not overcomplete set of coherent states defined on a lattice in the phase space, we construct the orthonormal basis using the procedure due to Lodwin, in which all states to be normalized enter the procedure on equal footing. We show that our normalized states may be interpreted as eigenstates of the operator of simultaneous unsharp measurement of coordinate and momentum. In a sense we followed the classical idea of von Neumann but without drawbacks which in his construction of such an operator were due to the use of the Gram-Schmidt orthonormalization procedure which is somewhat inappropriate for this purpose. We discuss the obtained results. T2 - Fortschritte der Physik = Progress of Physics T1 - An operator for simultaneous unsharp measurement of coordinate and momentum VL - 51 IS - 2-3 SP - 92 EP - 95 DO - 10.1002/prop.200310008 ER -
@article{ author = "Davidović, Dragomir M. and Arsenović, Dušan", year = "2003", abstract = "Starting from a complete but not overcomplete set of coherent states defined on a lattice in the phase space, we construct the orthonormal basis using the procedure due to Lodwin, in which all states to be normalized enter the procedure on equal footing. We show that our normalized states may be interpreted as eigenstates of the operator of simultaneous unsharp measurement of coordinate and momentum. In a sense we followed the classical idea of von Neumann but without drawbacks which in his construction of such an operator were due to the use of the Gram-Schmidt orthonormalization procedure which is somewhat inappropriate for this purpose. We discuss the obtained results.", journal = "Fortschritte der Physik = Progress of Physics", title = "An operator for simultaneous unsharp measurement of coordinate and momentum", volume = "51", number = "2-3", pages = "92-95", doi = "10.1002/prop.200310008" }
Davidović, D. M.,& Arsenović, D.. (2003). An operator for simultaneous unsharp measurement of coordinate and momentum. in Fortschritte der Physik = Progress of Physics, 51(2-3), 92-95. https://doi.org/10.1002/prop.200310008
Davidović DM, Arsenović D. An operator for simultaneous unsharp measurement of coordinate and momentum. in Fortschritte der Physik = Progress of Physics. 2003;51(2-3):92-95. doi:10.1002/prop.200310008 .
Davidović, Dragomir M., Arsenović, Dušan, "An operator for simultaneous unsharp measurement of coordinate and momentum" in Fortschritte der Physik = Progress of Physics, 51, no. 2-3 (2003):92-95, https://doi.org/10.1002/prop.200310008 . .