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POSSIBILITY OF MEASURING SIMULTANEOUSLY THE COORDINATES AND THE MOMENTUM OF A PARTICLE FOR A PAST EVENT.

J. Terletsky, Louis de Broglie

Published Jan 1, 1971• 0 citations
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Relation between the field quadratures and the characteristic function of a mirror

B. M. Rodríguez-Lara, H. M. Moya-Cessa

ANALIZAMOS LA POSIBILIDAD DE MEDIR EL ESTADO CUANTICO DE UN ESPEJO MOVIL USANDO SU INTERACCION CON UN CAMPO CUANTIZADO. MOSTRAMOS QUE MIDIENDO LAS CUADRATURAS DEL CAMPO PERMITE LA RECONSTRUCCION DE LA FUNCION CARACTERISTICA CORRESPONDIENTE AL ESPEJO MOVIL. Abstract WE ANALYZE THE POSSIBILITY OF MEASURING THE STATE OF A MOVABLE MIRROR BY USING ITS INTERACTION WITH A QUANTUM FIELD. WE SHOW THAT MEASURING THE FIELD QUADRATURES ALLOWS US TO RECONSTRUCT THE CHARACTERISTIC FUNCTION CORRESPONDING TO THE MIRROR STATE.

•Jan 1, 2004•2 citations
After a general introduction to Wigner Quantum Systems, we define the three-dimensional n-particle Wigner Quantum Oscillator, and its relation to the Lie superalgebra sl(1 vertical bar 3n). In this framework, coordinates, momentum and the angular momentum of the particles are defined and investigated. This investigation is done in state spaces, using representation theory of sl(1 vertical bar 3n). For the case n = 1, the main properties are listed, with an emphasis on the non-commutative coordinates of the particle and its unconventional consequences. For general n, we study energy spectra, angular momentum, and in particular the particle configuration and its interpretation. Throughout, a comparison with the canonical oscillator solution is given.
ANALIZAMOS LA POSIBILIDAD DE MEDIR EL ESTADO CUANTICO DE UN ESPEJO MOVIL USANDO SU INTERACCION CON UN CAMPO CUANTIZADO. MOSTRAMOS QUE MIDIENDO LAS CUADRATURAS DEL CAMPO PERMITE LA RECONSTRUCCION DE LA FUNCION CARACTERISTICA CORRESPONDIENTE AL ESPEJO MOVIL. Abstract WE ANALYZE THE POSSIBILITY OF MEASURING THE STATE OF A MOVABLE MIRROR BY USING ITS INTERACTION WITH A QUANTUM FIELD. WE SHOW THAT MEASURING THE FIELD QUADRATURES ALLOWS US TO RECONSTRUCT THE CHARACTERISTIC FUNCTION CORRESPONDING TO THE MIRROR STATE.