91 citations · 107 across the 4 of their papers we have counts for
4 papers
Beyond the Gaussian
Kazuyuki Fujii
In this paper we present a non-Gaussian integral based on a cubic polynomial, instead of a quadratic, and give a fundamental formula in terms of its discriminant. It gives a mathem…
Matrix Elements of Generalized Coherent Operators
Kazuyuki Fujii
Explicit forms are given of matrix elements of generalized coherent operators based on Lie algebras su(1,1) and su(2). We also give a kind of factorization formula of the associate…
Introduction to Grassmann Manifolds and Quantum Computation
Kazuyuki Fujii
Geometrical aspects of quantum computing are reviewed elementarily for non-experts and/or graduate students who are interested in both Geometry and Quantum Computation. In the firs…
Renormalization-group Method for Reduction of Evolution Equations; invariant manifolds and envelopes
S. -I. Ei, K. Fujii, T. Kunihiro
The renormalization group (RG) method as a powerful tool for reduction of evolution equations is formulated in terms of the notion of invariant manifolds. We start with derivation…