Physics – Quantum Physics
Scientific paper
2000-02-06
Physics
Quantum Physics
7 pages
Scientific paper
It is natural to consider a quantum system in the continuum limit of space-time configuration. Incorporating also, Einstein's special relativity, leads to the quantum theory of fields. Non-relativistic quantum mechanics and classical mechanics are special cases. By studying vacuum expectation values (Wightman functions W(n; z) where z denotes the set of n complex variables) of products of quantum field operators in a separable Hilbert space, one is led to computation of holomorphy domains for these functions over the space of several complex variables, C^n. Quantum fields were reconstructed from these functions by Wightman. Computer automation has been accomplished as deterministic exact analog computation (computation over "cells" in the continuum of C^n) for obtaining primitive extended tube domains of holomorphy. This is done in a one dimensional space plus one dimensional time model. By considering boundary related semi-algebraic sets, some analytic extensions of these domains are obtained by non-deterministic methods. The novel methods of computation raise interesting issues of computability and complexity. Moreover, the computation is independent of any particular form of Lagrangian or dynamics, and is uniform in n, qualifying for a universal quantum machine over C^infinity.
No associations
LandOfFree
Quantum Field Symbolic Analog Computation: Relativity Model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quantum Field Symbolic Analog Computation: Relativity Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Field Symbolic Analog Computation: Relativity Model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-173206