Any kinds of comments or suggestions are WELCOME.
If you need printed matters or PDF, please mail to ogurisu[AT]staff.kanazawa-u.ac.jp.
Some papers are resisterd to *Kanazawa University Repository for Academic Resources* [KURA (Open Access)]. You can freely access to them.

**[18]**A Note on the Spectral Mapping Theorem of Quantum Walk Models*Interdisciplinary Information Sciences, DOI:10.4036/iis.2017.A.13(open access)*, 2017,**23**, p.105-114.- with Kaname Matsue, Etsuo Segawa.
**[17]**On the number of discrete eigenvalues of a discrete Schr"odinger operator with a finitely supported potential*Letters in Mathematical Physics, DOI:10.1007/s11005-016-0876-0, [KURA (Open Access)]*, 2016,**106**, p.1465-1478.- with Yusuke Hayashi, Yusuke Higuchi, Yuji Nomura.
**[16]**Quantum walks on simplicial complexes*Quantum Information Processing, doi:10.1007/s11128-016-1247-6, [KURA (Open Access)]*, 2016,**15**, p.1865-1896.- with Kaname Matsue, Etsuo Segawa.
**[15]**On the spectrum of a discrete Laplacian on Z with finitely supported potential*Linear and Multilinear Algebra, doi:10.1080/03081087.2010.536981*, 2011,**59**, p.917-927.- with Yusuke Higuchi, Matsumoto Tomonori.
**[14]**On the Number of Negative Eigenvalues of a Multi-dimensional Schroedinger Operator with Point Interactions*Methods of Functional Analysis and Topology*, 2010,**16**, p.383-392.**[13]**On the Number of Negative Eigenvalues of a Schroedinger Operator with δ Interactions*Methods of Functional Analysis and Topology*, 2010,**16**, p.42-50.**[12]**On the Number of Negative Eigenvalues of a Schroedinger Operator with Point Interactions*Letters in Mathematical Physics*, 2008,**85**, (2-3), p.129-133.**[11]**Practical Band Estimation for Periodic Superlattices by Using Semi-Infinite Periodic model*Proceedings of 7th International Symposium on Communication and Information Technologies 2007 (ISCIT 2007)*, 2007, p.932-935.- with Kunihiko Asakura, Hirofumi Sanada, Masakiyo Suzuki.
**[10]**Real-Passband Estimation for Modulated Superlattices Based on Circuit Theory*Proceedings of International Symposium on Intelligent Signal Processing and Communication Systems (ISPACS 2006)*, 2006, p.415-418.- with Kunihiko Asakura, Hirofumi Sanada, Masakiyo Suzuki.
**[9]**Ground state of a spin-1/2 charged particle in a two-dimensional magnetic field*Journal of Mathematical Physics*, 2001,**42**, (8), p.3334-3343.- with Masao Hirokawa.
**[8]**Anomalous Pauli electron states for magnetic fields with tails*Letters in Mathematical Physics*, 1999,**50**, (2), p.103-114.- with Pavel Exner, Masao Hirokawa.
**[7]**Anticommutativity and spin 1/2 Schroedinger operators with magnetic fields*Journal of Operator Theory*, 1997,**37**, (1), p.183-194.**[6]**Existence of degenerate zero-energy ground states of the Dirac Hamiltonian for a spin 1/2 neutral particle with an anomalous magnetic moment in an arbitrary dimensional electrostatic field*Journal of Mathematical Analysis and Applications*, 1996,**203**, (1), p.211-223.**[5]**Essential spectrum of the Dirac Hamiltonian for a spin 1/2 neutral particle with an anomalous magnetic moment in an asymptotically constant magnetic field*Journal of Mathematical Physics*, 1996,**37**, (3), p.1234-1243.**[4]**Unitary equivalence between a spin 1/2 charged particle in a two-dimensional magnetic field and a spin 1/2 neutral particle with an anomalous magnetic moment in a two-dimensional electric field*Letters in Mathematical Physics*, 1994,**30**, p.173-177.**[3]**Ground state of a spin 1/2 charged particle in an even dimensional magnetic field*Letters in Mathematical Physics*, 1993,**29**, p.249-257.I found Mikael Persson's paper, entitled Zero modes for the magnetic Pauli operator in even-dimensional Euclidean space. He pointed out my

**crucial**mistake contained in my article (See, P.9-10) and gave new proof.His this paper published in

*Letters in Mathematical Physics***85**, 2008, p111-129; http://www.springerlink.com/content/kp50632206327m51/**[2]**Existence and Structure of the Infinitely Many Zero-Energy Ground States of Wess-Zumino type Model in Supersymmetric Quantum Mechanics*Journal of Mathematical Physics*, 1993,**34**, (5), p.1773-1790.- This is my dissertation for the degree of Doctor of Science.
**[1]**Meromorphic N=2 Wess-Zumino supersymmetric quantum mechanics*Journal of Mathematical Physics*, 1991,**32**, (9), p.2427-2453.- with Asao Arai.
- This paper contains my results of the dissertation of the degree of Master of Science.

**[28]**Proceedings: A note on the spectral mapping theorem of quantum walk models*http://arxiv.org/abs/1604.00581*, 2016.- with Kaname Matsue, Etsuo Segawa.
**[27]**On Quantum Walk from a view point of Spectral Scattering Theory- 4th-Yokohama Workshop on Quantum alks at Yokohama National University, October 21, 2016.
**[26]**Eigenpair of Quantum walk- MSJ Autumn Meeting 2016, at Kansai University, September 15, 2016.
- with Kaname Matsue (Speaker), Etsuo Segawa
**[25]**Quantum walks on simplicial complexes- Workshop of Quantum Simulation and Quantum Walks 2015, at Yokohama National University, November 16-18, 2015.
- with Kaname Matsue (Speaker), Etsuo Segawa
**[24]**Construction of Quantum Walk on simpletical complex- RIMS Mathematical Aspects of Quantum Fields and Related Topics, October 7, 2015.
- with Kaname Matsue, Etsuo Segawa (Speaker)
**[23]**Simpletical Quantum walk : Construction and problems- MSJ Autumn Meeting 2015, at Kyoto Sangyo University, September 13, 2015.
- with Kaname Matsue (Speaker), Etsuo Segawa
**[22]**On the embeded eigenvalues of discrete Schroedinger operator- 2015 Summer symposium of operator theroy at Fukui, September 4, 2015.
- with Yuji Nomura (Speaker), Yusuke Higuchi
**[21]**Quantum walk - Its dynamics and geomtrical struture- RIMS, July 9, 2015.
- with Kaname Matsue (Speaker), Etsuo Segawa
**[20]**Talk on "On the resonances and phases of discrete Schroedinger equationss- at Tohoku University Japan, September 17, 2014.
- with Hadi Muhshi
**[19]**Talk on "On the number of negative eigenvalues of point-interactions and of a kind of its discrete version- Spectral and Scattering thoery of Schroedinger equations on manifolds, lattices, and graphs at RIMS, Japan, September 11-12, 2014.
- with Tomonori Matsumoto, Yusuke Higuchi, Yuji Nomura, Yusuke Hayashi
**[18]**Talk on "On the local optimality of graphs- Sapporo Mathematical Physics Sympositum at Hokkaido University, Japan, September 1, 2014.
- with Ulima Azalia
**[17]**Talk on "On the number of negative eigenvalues of point-interactions"- Matsuyama Spectrum and scattering Sympositum at Ehime University, Japan, January 12, 2013.
**[16]**A study of a discrete analogue of finite point-interactions"- Discrete Mathematics Seminor 2012 in Oyama, Japan, August 8, 2012.
**[15]**Proceedings: On the eigenvalues of discrete Laplacian with finitely supported potential III (in Japanese)*Proceedings of OyouSugaku Goudou Kenkyukai at Seta Campus of Ryukoku University*, 2010.- with Yusuke Higuchi, Yuji Nomura.
**[14]**Proceedings: On the eigenvalues of discrete Laplacian with finitely supported potential II (in Japanese)*Proceedings of OyouSugaku Goudou Kenkyukai at Seta Campus of Ryukoku University*, 2009.- with Yusuke Higuchi, Matsumoto Tomonori.
**[13]**Proceedings: On the eigenvalues of discrete Laplacian with finitely supported potential (in Japanese)*Proceedings of OyouSugaku Goudou Kenkyukai at Seta Campus of Ryukoku University*, 2008.- with Yusuke Higuchi, Matsumoto Tomonori.
**[12]**Proceedings: Extraction of Quasi-Passbands Information for Modulated Superlattices by Using Image Impedances (in Japanese)*Proceedings of the IEICE General Conference*, 2008,**A-1-34**.- with Kunihiko Asakura, Hirofumi Sanada, Masakiyo Suzuki.
**[11]**Proceedings: A Study on Quasi-Passband for Modulated Superlattices by Applying Circuit Theory (in Japanese)*Technical Report of IEICE*, 2008,**107**, (475), p.49-54.- with Kunihiko Asakura, Hirofumi Sanada, Masakiyo Suzuki.
**[10]**Proceedings: Practical Band Estimation for Periodic Superlattices by Using Image Parameters (in Japanese)*Proceedings of the Society Conference of IEICE*, 2007,**A-1-10**, p.10-10.- with Kunihiko Asakura, Hirofumi Sanada, Masakiyo Suzuki.
**[9]**Proceedings: Energy transition properties for Modulated Superlattices with delta potentials (in Japanese)*IEEJ*, 2006, p.294.- with Kunihiko Asakura, Hirofumi Sanada, Masakiyo Suzuki.
**[8]**Talk on "Structure of mini-band induced by semiconductor superlattice - From the points of operator theoretical and circuit theoretical views"- IEICE, Kitami University, Japan, December 26, 2005.
- with Kunihiko Asakura
**[7]**Proceedings: Band Structure Estimation for Layer Width Modulated Superlattices by Applying Circuit Theory*Technical Report of IEICE*, 2005,**105**, (275), p.73-77.- with Kunihiko Asakura, Hirofumi Sanada, Masakiyo Suzuki.
**[6]**Proceedings: Supersymmetric analysis of discrete magnetic Schroedinger operators*Proceedings of Applications of RG Methods in Mathematical Sciences at RIMS, Kyoto Univ.*, 2003.**[5]**Preprint: Supersymmetric analysis of discrete magnetic Schroedinger operators**CAUTION**: the examples in Section V are wrong. Sorry.**[4]**Proceedings: Supersymmetric analysis of the spectral theory on infinite graphs (for a seminor in Lake Kawaguchi)*Proceedings of Seminors on infinite graphs and their spectrum at Lake Kawaguchi*, 2002, p.57-75.**[3]**Preprint: Supersymmetric analysis of the spectral theory on infinite graphs**[2]**Proceedings: Induced Gauge Structure in the Confining Potential Approach, and Its Application*Proceedings of the International School-Seminar, Structure of particles and nuclei and their interactions*, 1997.- with Kanji Fujii, Satoshi Uchiyama, Tetsuo Yabuki.
**[1]**Master-Thesis: The ground states of the N=2 Wess-Zumino supersymmetric quantum mechanics with a meromorphic superpotential- This paper is my dissertation of the degree of Master of Science and the results have been published as [2] in this list.

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OGURISU Osamu

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