Research field (4)：
Mathematical physics and basic theory
, Basic analysis
, Applied mathematics and statistics
, Basic mathematics
Research keywords (4)：
mathematical physics
, open quantum system
, quantum dynamical system
, Statistical Mechanics Random Point Field Quantum Field Theory
Research theme for competitive and other funds (26)：
2017 - 2023 量子光学に関連した数理物理学的問題
2012 - 2016 An approach to Bose-Einstein condensation in terms of operator valued random variables
2011 - 2013 Applications of Renormalization Group Methods in Mathematical Sciences
2008 - 2011 Research of quantum statistical mechanics in terms of random fields
2008 - 2010 Mathematical Study of Renormalization Groups and applications to Dynamical System
2000 - 2010 Statistical Physics of continuum systems
2005 - 2007 量子力学から導かれる点過程に関する研究
2004 - 2006 Further Development of Trotter Product Formulas with Problems on Path Integrals
2003 - 2005 Mathematical analysis for nonlinear partial differential equations with singular solutions
2001 - 2003 Further Development of Trotter-Kato Product Formula in Operator Norm and Related Problems on Path Integral
2001 - 2002 Density theorem in number theory and limit theorem in probability theory - LLN, CLT etc.
1999 - 2000 Mathematical Analysis of partial differential equations related to a variational problem via the discrete Morse Semiflows
1999 - 2000 The Kac Transfer Operator, the Lie-Trotter Product Formula and Related Problems
1997 - 1998 Mathematical Analysis of free boundary problems related to a variational problem
1997 - 1998 The norm estimate of the difference between the Kac transfer operator and the Schrodinger semigroup
Tamura Hiroshi. A model of a cavity and a beam of harmonic atoms (Mathematical aspects of quantum fields and related topics). RIMS Kokyuroku. 2014. 1921. 11-11
A Calculable Model for a Cavity and an Atomic Beam (Applications of Renormalization Group Methods in Mathematical Sciences). 2014. 1904. 175-188
Tamura Hiroshi, Ito Keiichi R. Random Point Fields for Para-Particles of order 3(Applications of Renormalization Group Methods in Mathematical Sciences). RIMS Kokyuroku. 2006. 1482. 72-85
Ito K.R., Hiroshima F., Tamura H. Fourier Transformation of 2D $O(N)$ Spin Model and Anderson Localization(Applications of Renormalization Group Methods in Mathematical Sciences). RIMS Kokyuroku. 2006. 1482. 205-224
