13 citations · 42 across the 15 of their papers we have counts for
16 papers
The Characteristic Function of the Cube of a Gaussian Random Variable
Andreas Boukas
Using the spectral resolution of the multiplication operator on the Schwartz class of , we compute the characteristic function of the cube of a Gaussian…
Holomorphic Functional Calculus approach to the Characteristic Function of Quantum Observables
Andreas Boukas
We show how Cauchy's Integral Formula and the ideas of Dunford's Holomorphic Functional Calculus (for unbounded operators) can be used to compute the Vacuum Characteristic Function…
Spectral Theorem approach to the Characteristic Function of Quantum Observables II
Andreas Boukas
We compute the resolvent of the anti-commutator operator and of the quantum harmonic oscillator Hamiltonian operator . Using Stone's formula for findi…
The -dimensional quadratic Heisenberg algebra as a "non--commutative"
Luigi Accardi, Andreas Boukas, Yun-Gang Lu
We prove that the commutation relations among the generators of the quadratic Heisenberg algebra of dimension , look like a kind of \textit{non-commutative extensio…
Spectral Theorem approach to the Characteristic Function of Quantum Observables
Andreas Boukas, Philip Feinsilver
Using the spectral theorem we compute the Quantum Fourier Transform (or Vacuum Characteristic Function) of an observable defined as a self-adjoint…
von Neumann's Minimax Theorem for Continuous Quantum Games
Luigi Accardi, Andreas Boukas
The concept of a classical player, corresponding to a classical random variable, is extended to include quantum random variables in the form of self adjoint operators on infinite d…