18 citations · 47 across the 18 of their papers we have counts for
7 papers · 1 filter
A continuum approximation for the excitations of the (1,1,...,1) interface in the quantum Heisenberg model
Oscar Bolina, Pierluigi Contucci, Bruno Nachtergaele +1
It is shown that, with an appropriate scaling, the energy of low-lying excitations of the (1,1,...,1) interface in the -dimensional quantum Heisenberg model are given by the spe…
Oscar's Physics Phaire: A Collection of Problems
Oscar Bolina
You will find here a number of (mostly) elementary physics problems dealing mainly with uniform motion kinematics. In preparing this collection I have tried to create original situ…
Finite-volume excitations of the 111 interface in the quantum XXZ model
Oscar Bolina, Pierluigi Contucci, Bruno Nachtergaele +1
We show that the ground states of the three-dimensional XXZ Heisenberg ferromagnet with a 111 interface have excitations localized in a subvolume of linear size R with energies bou…
Path Integral Representation for Interface States of the Anisotropic Heisenberg Model
Oscar Bolina, Pierluigi Contucci, Bruno Nachtergaele
We develop a geometric representation for the ground state of the spin-1/2 quantum XXZ ferromagnetic chain in terms of suitably weighted random walks in a two-dimensional lattice.…
Difficult Problems Having Easy Solutions
Oscar Bolina
We discuss how a class of difficult kinematic problems can play an important role in an introductory course in stimulating students' reasoning on more complex physical situations.…
Intrinsic Kinematics
Oscar Bolina
We show how some geometric elements of the path of a particle moving in a plane -- the osculating circle and its radius of curvature -- can be used to construct the parabolic traje…
Bounds on Correlation Functions of Quantum Rotators
Oscar Bolina, J. Rodrigo Parreira
We derive a McBryan-Spencer bound to the correlation function of a one-dimensional array of quantum rotators in the Villain approximation of the cosine interaction. We obtain the p…