18 citations · 47 across the 18 of their papers we have counts for
18 papers
Path integral representations for the spin-pinned quantum XXZ chain
Oscar Bolina, Pierluigi Contucci, Bruno Nachtergaele
Two discrete path integral formulations for the ground state of a spin-pinned quantum anisotropic XXZ Heisenberg chain are introduced. Their properties are discussed and two recurs…
Trotter formula and thermodynamic limits
Oscar Bolina
We discuss the interchangeability of the thermodynamic limit β\to \infty and the infinite limit of the Trotter number n \to \infty when Trotter formula e^{H_{0}+V} =\lim_{n \to \in…
Kinematics on oblique axes
Oscar Bolina
We solve a difficult problem involving velocity and acceleration components along oblique axes, and propose two problems of central force motion to be solved using oblique axes.
The gambler's ruin problem in path representation form
Oscar Bolina
We consider the classical one-dimensional random walk of a particle on the right-half real line. We assume that the particle is initially at position x=k, k > 0, and moves to the r…
Notes on Linear Algebra
Oscar Bolina
This paper has been withdrawn by the author.
A bubble theorem
Oscar Bolina, J. Rodrigo Parreira
Proof of a simple mathematical inequality using elements of surface tension theory and ideal gas law to the formation and coalescence of bubbles.