108 citations · 443 across the 80 of their papers we have counts for
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Quantum harmonic oscillator with superoscillating initial datum
R. V. Buniy, F. Colombo, I. Sabadini +1
In this paper we study the evolution of superoscillating initial data for the quantum driven harmonic oscillator. Our main result shows that superoscillations are amplified by the…
The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum
Daniel Alpay, Fabrizio Colombo, David P. Kimsey
In this paper we prove the spectral theorem for quaternionic unbounded normal operators using the notion of -spectrum. The proof technique consists of first establishing a spect…
The quantum pigeonhole principle and the nature of quantum correlations
Y. Aharonov, F. Colombo, S. Popescu +3
The pigeonhole principle: "If you put three pigeons in two pigeonholes at least two of the pigeons end up in the same hole" is an obvious yet fundamental principle of Nature as it…
Generalized quaternionic Schur functions in the ball and half-space and Krein-Langer factorization
Daniel Alpay, Fabrizio Colombo, Irene Sabadini
In this paper we prove a new version of Krein-Langer factorization theorem in the slice hyperholomorphic setting which is more general than the one proved in [D. Alpay, F. Colombo,…
The C-property for slice regular functions and applications to the Bergman space
Fabrizio Colombo, J. Oscar Gonzales-Cervantes
This paper has a twofold purpose: on one hand we deepen the study of slice regular functions by studying their behavior with respect to the so-called C-property and anti-C-property…
The Fock space in the slice hyperholomorphic setting
Daniel Alpay, Fabrizio Colombo, Irene Sabadini +1
In this paper we introduce and study some basic properties of the Fock space (also known as Segal-Bargmann space) in the slice hyperholomorphic setting. We discuss both the case of…