243 citations · 330 across the 10 of their papers we have counts for
11 papers
Non-perturbative Solution to the Quantum Interaction Problem via Schwinger's Action Principle
C. A. M. de Melo, B. M. Pimentel, J. A. Ramirez
The most realistic situations in quantum mechanics involve the interaction between two or more systems. In the most of reliable models, the form and structure of the interactions g…
Spiking the random matrix hard edge
Jose A. Ramirez, Brian Rider
We characterize the limiting smallest eigenvalue distributions (or hard edge laws) for sample covariance type matrices drawn from a spiked population. In the case of a single spike…
Construction of dynamical invariants for the time-dependent harmonic oscillator with a time-dependent driven force
M. C. Bertin, B. M. Pimentel, J. A. Ramirez
We construct the linear and quadratic polynomial dynamical invariants for the classical and quantum time-dependent harmonic oscillator driven by a time-dependent force. To obtain t…
Hard edge tail asymptotics
Jose A. Ramirez, Brian Rider, Ofer Zeitouni
Let be the limiting smallest eigenvalue in the general (β, a)-Laguerre ensemble of random matrix theory. Here β>0, a >-1; for β=1,2,4 and integer a, this object governs the sin…
Non-Adiabatic Solution to the Time Dependent Quantum Harmonic Oscillator
C. A. M. de Melo, B. M. Pimentel, J. A. Ramirez
Using Schwinger Variational Principle we solve the problem of quantum harmonic oscillator with time dependent frequency. Here, we do not take the usual approach which implicitly as…
Bulk universality for Wigner hermitian matrices with subexponential decay
Laszlo Erdos, Jose Ramirez, Benjamin Schlein +3
We consider the ensemble of Wigner hermitian matrices that generalize the Gaussian unitary ensemble (GUE). The matrix element…