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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.
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.
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…
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…