9 citations · 37 across the 20 of their papers we have counts for
20 papers
A minimalist approach to conceptualization of time in quantum theory
H. Kitada, J. Jeknic-Dugic, M. Arsenijevic +1
Ever since Schrodinger, Time in quantum theory is postulated Newtonian for every reference frame. With the help of certain known mathematical results, we show that the concept of t…
Wave Operators and Similarity for Long Range -body Schrödinger Operators
Hitoshi Kitada
We consider asymptotic behavior of for -body Schrödinger operator with long- and short-range pair potentials $V_{ij}(x)=V_{ij}^…
An implication of Gödel's incompleteness theorem
Hitoshi Kitada
A proof of Gödel's incompleteness theorem is given. With this new proof a transfinite extension of Gödel's theorem is considered. It is shown that if one assumes the set theory ZFC…
Fundamental solution global in time for a class of Schrödinger equations with time-dependent potentials
Hitoshi Kitada
Fundamental solution for a Schrödinger equation with a time-dependent potential of long-range type is constructed. The solution is given as a Fourier integral operator with a symbo…
Quantum Mechanics
Hitoshi Kitada
I consider in this book a formulation of Quantum Mechanics. Usually QM is formulated based on the notion of time and space, both of which are thought a priori given quantities or n…
Does Church-Kleene ordinal exist?
Hitoshi Kitada
A question is proposed if a nonrecursive ordinal, the so-called Church-Kleene ordinal really exists.