84 citations · 401 across the 20 of their papers we have counts for
14 papers · 1 filter
On Hydrodynamic Formulations of Quantum Mechanics and the Problem of Sparse Ontology
Aric Hackebill, Bill Poirier
Hydrodynamic reformulations of the Schrödinger equation suggest an interpretation of quantum mechanics in terms of a fluid flowing on configuration space. In the discrete hydrodyna…
Efficient Evaluation of Exponential and Gaussian Functions on a Quantum Computer
Bill Poirier
The exponential and Gaussian functions are among the most fundamental and important operations, appearing ubiquitously throughout all areas of science, engineering, and mathematics…
Full-Dimensional Schrödinger Wavefunction Calculations using Tensors and Quantum Computers: the Cartesian component-separated approach
Bill Poirier, Jonathan Jerke
Traditional methods in quantum chemistry rely on Hartree-Fock-based Slater-determinant (SD) representations, whose underlying zeroth-order picture assumes separability by particle.…
Viewing quantum mechanics through the prism of electromagnetism
Ankit Pandey, Bill Poirier, Luis Grave-de-Peralta
In this paper, we demonstrate novel relationships between quantum mechanics and the electromagnetic wave equation. In our approach, an invariant interference-dependent electromagne…
Exploring the propagation of relativistic quantum wavepackets in the trajectory-based formulation
Hung-Ming Tsai, Bill Poirier
In the context of nonrelativistic quantum mechanics, Gaussian wavepacket solutions of the time-dependent Schrödinger equation provide useful physical insight. This is not the case…
Trajectory-based Theory of Relativistic Quantum Particles
Bill Poirier
Recently, a self-contained trajectory-based formulation of non-relativistic quantum mechanics was developed [Ann. Phys. 315, 505 (2005); Chem. Phys. 370, 4 (2010); J. Chem. Phys. 1…