数理解析研究所講究録
ON A TOY FOCK SPACE GENERATED BY PERMUTATIONS
Naofumi Muraki
Abstract
An example of independence, conditional expectation and martingales in quantum probability theory is constructed on the permutational Fock space which is a kind of discrete "Fock space" generated by an the permutations from the natural numbers.Besides a discrete time analogue of quantum Ito's formula for the permutational Fock space is obtained.