10.9k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- The University of TokyoJP1.2k papers
- Kyoto UniversityJP1.1k papers
- Nagoya UniversityJP1.1k papers
- Tokyo Institute of TechnologyJP1k papers
- The University of OsakaJP1k papers
- The University of MelbourneAU1k papers
- The University of SydneyAU1k papers
- University of Science and Technology of ChinaCN1k papers
- Waseda UniversityJP1k papers
- University of LjubljanaSI1k papers
- High Energy Accelerator Research OrganizationJP1k papers
- Chinese Academy of SciencesCN982 papers
6 papers · 2 filters
Removal of UV cutoff for the Nelson model with variable coefficients
C. Gérard, F. Hiroshima, A. Panati +1
We consider the Nelson model with variable coefficients. Nelson models with variable coefficients arise when one replaces in the usual Nelson model the flat Minkowski metric by a s…
Exactly Solvable Quantum Mechanics and Infinite Families of Multi-indexed Orthogonal Polynomials
Satoru Odake, Ryu Sasaki
Infinite families of multi-indexed orthogonal polynomials are discovered as the solutions of exactly solvable one-dimensional quantum mechanical systems. The simplest examples, the…
The No-Binding Regime of the Pauli-Fierz Model
Fumio Hiroshima, Herbert Spohn, Akito Suzuki
The Pauli-Fierz model in nonrelativistic quantum electrodynamics is considered. The external potential is sufficiently shallow and the dipole approximation is assumed. I…
Discrete Quantum Mechanics
Satoru Odake, Ryu Sasaki
A comprehensive review of the discrete quantum mechanics with the pure imaginary shifts and the real shifts is presented in parallel with the corresponding results in the ordinary…
The Exceptional (X_{\ell}) (q)-Racah Polynomials
Satoru Odake, Ryu Sasaki
The exceptional Racah and q-Racah polynomials are constructed. Together with the exceptional Laguerre, Jacobi, Wilson and Askey-Wilson polynomials discovered by the present authors…
Dual Christoffel transformations
Satoru Odake, Ryu Sasaki
Crum's theorem and its modification a la Krein-Adler are formulated for the discrete quantum mechanics with real shifts, whose eigenfunctions consist of orthogonal polynomials of a…