4 citations · 6 across the 7 of their papers we have counts for
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Internal Turing Machines
Ken Loo
Using nonstandard analysis, we will extend the classical Turing machines into the internal Turing machines. The internal Turing machines have the capability to work with infinite (…
Quantum Algorithm Uncertainty Principles
Ken Loo
Previously, Bennet and Feynman asked if Heisenberg's uncertainty principle puts a limitation on a quantum computer (Quantum Mechanical Computers, Richard P. Feynman, Foundations of…
A rigorous real time Feynman Path Integral and Propagator
Ken Loo
We will derive a rigorous real time propagator for the Non-relativistic Quantum Mechanic transition probability amplitude and for the Non-relativistic wave function. The prop…
Rigorous Real-Time Feynman Path Integral for Vector Potentials
Ken Loo
we will show the existence and uniqueness of a real-time, time-sliced Feynman path integral for quantum systems with vector potential. Our formulation of the path integral will be…
Nonstandard Feynman path integral for the harmonic oscillator
Ken Loo
we will provide a rigorous computation for the harmonic oscillator Feynman path integral. The computation will be done without having prior knowledge of the classical path. We will…
A Rigorous Real Time Feynman Path Integral
Ken Loo
Using improper Riemann integrals, we will formulate a rigorous version of the real-time, time-sliced Feynman path integral for the transition probability amplitude. We will d…