3 citations · 7 across the 8 of their papers we have counts for
8 papers
Diffusion Theory of Hyperbolic Groups
P. G. Morrison
This paper outlines a method where a brachistochrone is developed for the hyperbolic plane. This technique is then used to calculate the Fubini-Study metric and consequent Laplacia…
Matrix Wigner Function and SU(1,1)
P. G. Morrison
This paper contains a brief sketch of some methods that can be used to obtain the Wigner function for a number of systems. We give an overview of the technique as it is applied to…
Time Optimal Qubit Computer
Peter Morrison
We present a number of new physical systems that may be addressed using methods of time dependent transformation. A recap of results available for two-state systems is given, with…
Asian Option Pricing via Laguerre Quadrature: A Diffusion Kernel Approach
P. G. Morrison
This paper will demonstrate some new techniques for developing the theory of Asian (arithmetic average) options pricing. We discuss the basic derivation of the diffusion equations,…
Quantum Brachistochrone for the Majorana Particle
P. G. Morrison
This paper covers some new results from the theory of time optimal quantum control, with particular application to relativistic particles including Majorana fermions. We give a bri…
Time Evolution Operators for Periodic SU(3)
P. G. Morrison
We present an outline of a technique to associate certain methods from time optimal quantum control with various transforms on SU(3). Unitary operators are taken from certain time…