研究業績

Publications

  1. Tadahiro Miyao, Itaru Sasaki, Stability of discrete ground state, Hokkaido Mathematical Journal, 34, No.3 (2005).
  2. Itaru Sasaki, Ground state energy of the polaron in the relativistic quantum electrodynamics, Journal of Mathematical Physics, 46, 102307 (2005).
  3. Itaru Sasaki, Ground state of the massless Nelson model in a non-Fock representation, Journal of Mathematical Physics, 46, 102107 (2005).
  4. Asao Arai, Kunimitsu Hayashi, Itaru Sasaki, Spectral properties of a Dirac operator in the chiral quark soliton model, Journal of Mathematical Physics, 46, 052306 (2005).
  5. Itaru Sasaki, Schroedinger operators with rapidly oscillating potentials, Integral Equations and Operator Theory, 58, 563-571 (2007)
  6. Fumio Hiroshima and Itaru Sasaki, Enhanced binding of an $N$-particle system interacting with a scalar bose field I, Mathematische Zeitschrift, 259, No. 3, 1432-1823 (2008).
  7. Thomas Chen and Itaru Sasaki, Boltzmann Limit and Quasifreeness for a Homogeneous Fermi Gas in a Weakly Disordered Random Medium, Journal of Statistical Physics, 132, No. 2, 329-353 (2008).
  8. Fumio Hiroshima, Sotaro Kuribayashi and Itaru Sasaki, Self-adjoint extensions of momentum operators: application of weak Weyl relations, Journal of Math-for-Industry, Vol. 2(2010A-3), 21-25.
  9. Fumio Hiroshima and Itaru Sasaki, On the ionization energy of semi-relativistic Pauli-Fierz model for a single particle, RIMS Kokyuroku Bessatsu B21, 25-34, 2010-12.
  10. Yoshiki Otobe and Itaru Sasaki, Measure theoretical approach to recurrent properties for quantum dynamics, Journal of Physics A: Mathematical and Theoretical, No. 44,pp. 465209(1)-465209(10), (2011).
  11. Fumio Hiroshima, Itaru Sasaki, Tomoyuki Shirai and Akito Suzuki, Note on the spectrum of discrete Schrodinger operators, Journal of Math-for-Industry, Vol. 4(2012B-4), pp. 105-108.
  12. Fumio Hiroshima and Itaru Sasaki, Multiplicity of the lowest eigenvalue of non-commutative harmonic oscillators, Kyushu Journal of Mathematics, Vol. 67, No. 2, 355-366, (2013)
  13. Fumio Hiroshima and Itaru Sasaki, Spectral analysis of non-commutative harmonic oscillators: The lowest eigenvalue and no crossing, J. Math. Anal. Appl., 415, 595-609, (2014)
  14. Itaru Sasaki, Spectral Analysis of the Dirac Polaron, Publ. RIMS, Vol. 50, Issue 2, pp.307-339, (2014)
  15. Fumio Hiroshima, Itaru Sasaki, Enhanced Binding of an N-particle System Interacting with a Scalar Field II. Relativistic Version, Publications of the Research Institute for Mathematical Sciences,51(4):655-690 2015
  16. Itaru Sasaki and Akito Suzuki, Essential spectrum of the discrete Laplacian on a perturbed periodic graph, Journal of Mathematical Analysis and Applications, 446(2):1863–1881 2017(Feb. 15)
  17. Masao Hirokawa, Jacob S Møller and Itaru Sasaki, A mathematical analysis of dressed photon in ground state of generalized quantum Rabi model using pair theory, Journal of Physics A: Mathematical and Theoretical, 50, (2017), 1840003(20pp)
  18. József Lőrinczi and Itaru Sasaki, Embedded eigenvalues and Neumann-Wigner potentials for relativistic Schrödinger operators, Journal of Functional Analysis, 273, Issue 4, 15 August 2017, Pages 1548-1575
  19. Daiju Funakawa, Yasumichi Matsuzawa, Itaru Sasaki, Akito Suzuki, Noriaki Teranishi, Time operators for quantum walks, Letters in Mathematical Physics, June, (2020)
  20. Takeru Hidaka, Fumio Hiroshima, Itaru Sasaki, Spectrum of the semi-relativistic Pauli-Fierz model II, accepted for publication in Journal of Spectral Theory, (2020)