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28 papers · 1 filter
Continuous extension of the discrete shift translations on one-dimensional quantum lattice systems
Hajime Moriya, Heide Narnhofer
We study the continuous extension of discrete shift translations on one-dimensional quantum lattice systems.
Lattice sums of -Bessel functions, theta functions, linear codes and heat equations
Takehiro Hasegawa, Hayato Saigo, Seiken Saito +1
We extend a certain type of identities on sums of -Bessel functions on lattices, previously given by G. Chinta, J. Jorgenson, A. Karlsson and M. Neuhauser. Moreover we prove tha…
Nonexistence of spontaneous symmetry breakdown of time-translation symmetry on general quantum systems: Any macroscopic order parameter moves not!
Hajime Moriya
This review informs that the impossibility of genuine quantum time crystals has been known in the C*-algebraic quantum statistical mechanics since 1970s. The KMS condition implies…
Note on a Product Formula Related to Quantum Zeno Dynamics
Pavel Exner, Takashi Ichinose
Given a nonnegative self-adjoint operator acting on a separable Hilbert space and an orthogonal projection such that is densely defined, we…
A Novel Discrete Theory of a Screw Dislocation in the BCC Crystal Lattice
Shigeki Matsutani
In this paper, we proposed a novel method using the elementary number theory to investigate the discrete nature of the screw dislocations in crystal lattices, simple cubic (SC) lat…
Combinatorial expressions for the tau functions of -Painlevé V and III equations
Yuya Matsuhira, Hajime Nagoya
We derive series representations for the tau functions of the -Painlevé V, , , and equations, as degenerations of the tau functi…