List of Publications of Hitoshi Kitada

  1. A stationary approach to long-range scattering, Osaka J. Math., 13(1976), 311-333.
  2. On the completeness of modified wave operators, Proc. Japan Acad., 52(1976), 409-412.
  3. Scattering theory for Schrödinger operators with long-range potentials I, abstract theory, J. Math. Soc. Japan, 29(1977), 665-691.
  4. Scattering theory for Schrödinger operators with long-range potentials II, spectral and scattering theory, J. Math. Soc. Japan, 30(1978), 603-632.
  5. Asymptotic behavior of some oscillatory integrals, J. Math. Soc. Japan, 31(1979), 127-140.
  6. Correction to "Asymptotic behavior of some oscillatory integrals", J. Math. Soc. Japan, 32(1980), 781-782.
  7. On a construction of the fundamental solution for Schrödinger equations, J. Fac. Sci., The Univ. Tokyo, 27(1980), 193-226.
  8. A family of Fourier integral operators and the fundamental solution for a Schrödinger equation, (with H. Kumano-go), Osaka J. Math., 18(1981), 291-360.
  9. A scattering theory for time-dependent long-range potentials, (with K. Yajima), Duke Math. J., 49(1982), 341-376.
  10. Scattering theory for Schrödinger equations with time-dependent potentials of long-range type, J. Fac. Sci., The Univ. Tokyo, 29(1982), 353-369.
  11. A calculus of Fourier integral operators and the global fundamental solution for a Schrödinger equation, Osaka J. Math., 19(1982), 863-900.
  12. Remarks on our paper "A scattering theory for time-dependent long-range potentials", (with K. Yajima), Duke Math. J., 50(1983), 1005-1016.
  13. Bound states and scattering states for time periodic Hamiltonians, (with K. Yajima), Ann. Inst. H. Poincare, XXXIX(1983), 145-157.
  14. Time-decay of the high energy part of the solution for a Schrödinger equation, J. Fac. Sci., The Univ. Tokyo, 31(1984), 109-146.
  15. Asymptotic behavior of the scattering amplitude at high energies, (with H. Isozaki), in "Differential Equations," ed. by I. W. Knowles & R. T. Lewis, North-Holland (1984), pp.329-334.
  16. Micro-local resolvent estimates for 2-body Schrödinger operators, (with H. Isozaki), J. Funct. Anal., 57(1984), 270-300.
  17. Modified wave operators with time-independent modifiers, (with H. Isozaki), J. Fac. Sci., The Univ. Tokyo, 32(1985), 77-104.
  18. A remark on the micro-local resolvent estimates for two-body Schrödinger operators, (with H. Isozaki), Publ. RIMS, Kyoto Univ., 21(1985), 889-910.
  19. Scattering matrices for two-body Schrödinger operators, (with H. Isozaki), Sci. Papers of the Coll. Arts & Sci., The Univ. Tokyo, 35(1985), 81-107.
  20. A relation between the modified wave operators W_J^{+-} and W_D^{+-}, Sci. Papers of the Coll. Arts & Sci., The Univ. Tokyo, 36(1986), 91-105.
  21. Fourier integral operators with weighted symbols and micro-local resolvent estimates, J. Math. Soc. Japan, 39(1987), 455-476.
  22. Scattering theory in quantum mechanics, Sugaku (Mathematics), 39, 1987, 159-167 (In Japanese).
  23. Fundamental solutions and eigenfunction expansions for Schrödinger operators, I. Fundamental solutions, Math. Z., 198(1988), 181-190.
  24. Fundamental solutions and eigenfunction expansions for Schrödinger operators, II. Eigenfunction expansions, (with A. Jensen), Math. Z., 199(1988), 1-13.
  25. Fundamental solutions and eigenfunction expansions for Schrödinger operators, III. Complex potentials, Sci. Papers Coll. Arts & Sci., The Univ. of Tokyo, 39(1989), 109-123.
  26. Asymptotic completeness of N-body wave operators, I. Short-range quantum systems, Rev. in Math. Phys. 3(1991), 101-124.
  27. Asymptotic completeness of N-body wave operators, II. A new proof for the short-range case and the asymptotic clustering for long-range systems, in "Functional Analysis and Related Topics, 1991," ed. H. Komatsu, Lect. Note in Math. 1540, Springer-Verlag, 1993, pp.149-189.
  28. Quantum theory of scattering -- From Kato school to Enss, Sigal, Suri-Kagaku (Mathematical Sciences), No. 347, May 1992 (In Japanese).
  29. Theory of local times, Il Nuovo Cimento, 109 B (1994), No. 3, 281-302.
  30. Theory of local times II. Another formulation and examples (http://xxx.lanl.gov/abs/gr-qc/9403007) (1994).
  31. Local time and the unification of physics Part I. Local time, (with L. Fletcher), Apeiron, 3 (1996), No. 2, 38-45.
  32. What are Mathematical Sciences, Suri-Kagaku (Mathematical Sciences), No. 398, August 1996 (In Japanese), pp. 63--74.
  33. Quantum mechanics and relativity --- Their unification by local time --- in "Spectral and Scattering Theory," ed. A. G. Ramm, Plenum Press, New York, 1998, pp.39-66. (gr-qc/9612043)
  34. Comments on the Problem of Time --- A response to "A Possible Solution to the Problem of Time in Quantum Cosmology" by Stuart Kauffman and Lee Smolin, (with L. Fletcher) (gr-qc/9708055) (1997).
  35. A possible solution for the non-existence of time, (gr-qc/9910081) (1999).
  36. Quantum mechanical time contradicts the uncertainty principle, (gr-qc/9911060) (1999).
  37. Scattering Spaces and a Decomposition of Continuous Spectral Subspace of N-body Quantum Systems, (http://xxx.lanl.gov/abs/math.SP/9912244) (2000).
  38. Three dimensional time and energy operators and an uncertainty relation, (quant-ph/0007028) (2000).
  39. Quantum Mechanical Clock and Classical Relativistic Clock, (gr-qc/0102057) (2001).
  40. Local Time and the Unification of Physics Part II. Local System, (gr-qc/0110066) (2001).
  41. Locality and the Universe, International Conference on "time," "KitadaTime," Interaction and Communication - Trinity, Canada, August 28 - 31, 2002 at Ceta-Research, Trinity, Newfoundland, Canada, keynote speech, (http://kims.ms.u-tokyo.ac.jp/bin/time_XI.pdf) (2002).
  42. Time is just an auxiliary parameter, (http://kims.ms.u-tokyo.ac.jp/bin/time_XII.pdf) (2002).
  43. Rhythm Based Time and the conventional time, (http://kims.ms.u-tokyo.ac.jp/bin/time_XIII.pdf) (2002).
  44. Inconsistent Universe -- Physics as a meta-science --, (http://arXiv.org/abs/physics/0212092) (2002).
  45. Is mathematics consistent?, (http://arXiv.org/abs/math.GM/0306007) (2003).
  46. Does Church-Kleene ordinal $\omega_1^{CK}$ exist?, (http://arXiv.org/abs/math.GM/0307090) (2003).
  47. Quantum Mechanics, Lectures in Mathematical Sciences, vol. 23, The University of Tokyo, 2005, ISSN 0919-8180, ISBN 1-000-01896-2. (http://arxiv.org/abs/quant-ph/0410061, qm.pdf)
  48. Introduction to Mathematics for Scientists (理学を志す人のための数学入門), (with T. Ono), Gendai-Suugaku-Sha (現代数学社), February 14, 2006, ISBN 4-7687-0358-5.
  49. Fundamental solution global in time for a class of Schrödinger equations with time-dependent potentials, Communications in Mathematical Analysis 1 (2006), 137-147 (http://arxiv.org/abs/math.AP/0607101).
  50. A Story of Fourier Analysis (フーリエ解析の話), Gendai-Suugaku-Sha (現代数学社), November 1, 2007, ISBN 978-4-7687-0377-9. (正誤表)
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