Collaborative Calculation and Data Science

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fricas-CR is an extension of FriCAS  that implements the calculus of differentiable functions over an involutive algebra of symbolic expressions — principally functions of complex variables.

Implementation of Wiseman many interacting worlds simulation for 1D, 1 Particle systems

Jupyter notebook Use_Sage_in_Jupyter_notebook_on_SageMathCloud.ipynb

From Poirier’s Bohmian Mechanics without Wavefunctions to Hall’s Many Interacting Worlds (1-D)

lines 72 and 75 have unnecessary horizontal scrollbars

Each moving point in the following diagram represents the position of two particles in a single world (four worlds are shown). As the point approaches the x=y line (shown in red), the particles approach each other and the classical potential is at a maximum. In three worlds the particles overcome the potential barrier and continue. But one world (the last to approach) is reflected back. Although initially the two particles in each world approach each other with the same velocity, the particles in the last world to approach the barrier have lost energy to their counterparts in other worlds due to the quantum mechanical (interworld) interaction. When viewed in the projection we see two particles rebound instead of passing each other.

Jupyter html version of Use_Sage_in_Jupyter_notebook_on_SageMathCloud.ipynb

Implementation of Wiseman Many-Interacting-Worlds simulation for 1D, 1 Particle systems

https://groups.google.com/forum/#!topic/sage-devel/GX-hYs0grdE

Improved version of the octave interface.

Discretization of the Quantum Dynamical Equations of Motion - One Dimension

expression manipulations that do not preserve function latex_name and print_latex_func

http://trac.sagemath.org/ticket/10295#comment:174

fix a few problems with the Sage octave interface

Modified version of fricas interface for Sage

version intended to be compiled inside FriCAS

Replacing the default pexpect module with the a newer version that supports unicode.

Bill Page