Shinshu University

output

19932026

most citedObservation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC

10.9k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

Showing 2016 · math-phShow all

6 papers · 2 filters

math-ph2016★ 4 cited

Symmetric Morse potential is exactly solvable

Ryu Sasaki

Morse potential $V_{M} (x) = g^{2} exp (2 x) - g (2 h + 1) exp (x)$ is defined on the full line, $- \infty < x < \infty$ and it defines an exactly solvable 1-d quantum mechanical system with finitely…

math-ph2016★ 3 cited

Confining non-analytic exponential potential $V (x) = g^{2} exp (2∣ x ∣)$ and its exact Bessel-function solvability

Ryu Sasaki

In a previous paper we have shown that Schrödinger equation with the non-analytic attractive exponential potential $V (x) = - g^{2} exp (- ∣ x ∣)$ is exactly solvable. It has finitely many…

math-ph2016

Spectrum of the semi-relativistic Pauli-Fierz model II

Takeru Hidaka, Fumio Hiroshima, Itaru Sasaki

We consider the semi-relativistic Pauli-Fierz Hamiltonian $H_{m} = ∣ p - A (x) ∣ + H_{f, m} + V (x), m \geq 0,$ and prove the existence of the ground state of…

math-ph2016★ 13 cited

Recurrence Relations of the Multi-Indexed Orthogonal Polynomials IV : closure relations and creation/annihilation operators

Satoru Odake

We consider the exactly solvable quantum mechanical systems whose eigenfunctions are described by the multi-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson and Askey-Wil…

math-ph2016★ 21 cited

One-dimensional Schrödinger equation with non-analytic potential $V (x) = - g^{2} exp (- ∣ x ∣)$ and its exact Bessel-function solvability

Ryu Sasaki, Miloslav Znojil

Exact solvability (ES) of one-dimensional quantum potentials $V (x)$ is a vague concept. We propose that beyond its most conventional range the ES status should be attributed also t…

math-ph2016

Unitary equivalent classes of one-dimensional quantum walks

Hiromichi Ohno

This study investigates unitary equivalent classes of one-dimensional quantum walks. We prove that one-dimensional quantum walks are unitary equivalent to quantum walks of Ambainis…