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Title: Quantum phase space for the one-dimensional hydrogen atom on the hyperbola
Author: Fernandez-Perez, A.
Klimov, Andrei B.
Saavedra, C.
Issue Date: 2011
Abstract: We study a quantum process reconstruction based on the use of mutually unbiased projectors (MUB projectors) as input states for a D-dimensional quantum system, with D being a power of a prime number. This approach connects the results of quantum-state tomography using mutually unbiased bases with the coefficients of a quantum process, expanded in terms of MUB projectors. We also study the performance of the reconstruction scheme against random errors when measuring probabilities at the MUB projectors. " 2011 American Physical Society.",,,,,,"10.1103/PhysRevA.83.052332",,,"","",,,,,,"5",,"Physical Review A - Atomic, Molecular, and Optical Physics",,,,"83",,"Scopus
WOS",,,,,,,,,,,,"Quantum process reconstruction based on mutually unbiased basis",,"Article" "45788","123456789/35008",,"Pogosyan, G.S., Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, 141980, Moscow Region, Russian Federation, Departamento de Matemáticas, CUCEI, Universidad de Guadalajara, Av. Corregidora 500, Guadalajara, Jalisco, Mexico; Vicent, L.E., Facultad de Ciencias, Universidad Autónoma del Estado de Morelos, Av. Universidad 1001, Cuernavaca, Morelos 62251, Mexico; Wolf, K.B., Centro de Ciencias Físicas, Universidad Nacional Autónoma de ?xico, Apartado Postal 48-3, Cuernavaca, Morelos 62251, Mexico",,"Pogosyan, G.S.
Vicent, L.E.
Wolf, K.B.",,"2005",,"We obtain the solution of the one-dimensional hydrogen atom on the hyperbola by transforming its Schrödinger equation into the modified Poschl-Teller equation. We write explicitly the wave functions both in configuration and momentum space, and check the contraction limit of the system to the flat space model. Finally, we find the closed form of the Wigner function for the states of this system. " 2005 American Institute of Physics.
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