36 citations · 134 across the 15 of their papers we have counts for
15 papers
Matrix exponential solution of the Landau-Zener problem
Alberto G. Rojo
We present a derivation of the Landau-Zener solution through the explicit evaluation of the time ordered propagator. The result is exact and does not involve the solution of the di…
The rolling sphere and the quantum spin
Alberto G. Rojo, Anthony M. Bloch
We consider the problem of a sphere rolling of a curved surface and solve it by mapping it to the precession of a spin 1/2 in a magnetic field of variable magnitude and direction.…
The Parallelometer: a mechanical device to study curvature
Alberto G. Rojo, David Garfinkle, Salvador Gil
A simple mechanical device is introduced, the parallelometer, that can be used to measure curvatures of surfaces. The device can be used as a practical illustration of parallel tra…
A Cold Atomic Fermi Gas with a Spatially Modulated Interaction
Hao Fu, Alberto G. Rojo
We study an ultra-cold atomic Fermi Gas with the atom-atom interaction modulated periodically in space. A novel ground state with cooper pairs occupying non-zero center of mass mom…
A Tonks Giradeau Gas in the Presence of a Local Potential
Hao Fu, A. G. Rojo
The physics of a Tonks-Giradeau Gas in the presence of a local potential is studied. In order to evaluate the single particle density matrix (SPDM) of the many-body ground state, t…
Hamilton's principle: why is the integrated difference of kinetic and potential energy minimized?
Alberto G. Rojo
I present an intuitive answer to an often asked question: why is the integrated difference K-U between the kinetic and potential energy the quantity to be minimized in Hamilton's p…