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List of my articles [Ja]

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.


Articles (Peer reviewed)

[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.

Preprints, Proceedings, etc

[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
mail address: ogurisu[AT]staff.kanazawa-u.ac.jp (Replace [AT] with @).