Edit Profile (opens in new tab) Koca, Mehmet Co-Author Distance Author ID: koca.mehmet Published as: Koca, Mehmet Documents Indexed: 56 Publications since 1989, including 17 Additional arXiv Preprints Co-Authors: 19 Co-Authors with 50 Joint Publications 51 Co-Co-Authors all top 5 Co-Authors 5 single-authored 31 Koç, Ramazan 28 Koca, Nazife Ozdes 9 Ajmi, Mudhahir Al 6 Al-Barwani, Muataz 6 Al-Siyabi, Abeer 5 Tütüncüler, Hayriye 2 Al-Qanobi, Amal Juma Hamood 2 Körcük, Eser 1 Al-Farsi, Shadia 1 Al-Maqbali, Amira 1 Al-Mukhaini, Aida 1 Al-Reasi, Rehab 1 Al-Sawafic, Muna 1 Al-Shu’eili, Muna 1 Karsch, Frithjof 1 Koç C, Ramazan 1 Mussardo, Giuseppe 1 Olğar, Eser 1 Ozdes, Nazife 1 Shidhani, Saleh Al- all top 5 Serials 11 Journal of Physics A: Mathematical and General 5 Journal of Mathematical Physics 5 International Journal of Geometric Methods in Modern Physics 3 Linear Algebra and its Applications 3 Acta Crystallographica. Section A 2 International Journal of Modern Physics A 2 Journal of Physics A: Mathematical and Theoretical 1 Modern Physics Letters A 1 Bulgarian Journal of Physics 1 Annals of Physics 1 Symmetry: Culture and Science 1 Progress of Theoretical Physics 1 Symmetry all top 5 Fields 22 Convex and discrete geometry (52-XX) 21 Group theory and generalizations (20-XX) 14 Quantum theory (81-XX) 11 Nonassociative rings and algebras (17-XX) 11 Topological groups, Lie groups (22-XX) 7 Geometry (51-XX) 7 Statistical mechanics, structure of matter (82-XX) 3 Number theory (11-XX) 3 Algebraic geometry (14-XX) 1 General algebraic systems (08-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 191 times in 95 Documents Cited by ▼ Year ▼ A systematic study on the exact solution of the position dependent mass Schrödinger equation. Zbl 1048.81019 Koç, Ramazan; Koca, Mehmet 34 2003 A new class of quasi-exactly solvable potentials with a position-dependent mass. Zbl 1066.81629 Koć, Ramazan; Koca, Mehmet; Körcük, Eser 18 2002 Maximal subgroups of the Coxeter group \(W(H_4)\) and quaternions. Zbl 1087.20036 Koca, Mehmet; Koç, Ramazan; Al-Barwani, Muataz; Al-Farsi, Shadia 13 2006 Noncrystallographic Coxeter group \(H_4\) in \(E_8\). Zbl 1007.20039 Koca, Mehmet; Koç, Ramazan; Al-Barwani, Muataz 12 2001 Quaternionic root systems and subgroups of the Aut\((F_{4})\). Zbl 1111.17004 Koca, Mehmet; Al-Barwani, Muataz; Koç C, Ramazan 10 2006 Quaternionic roots of \(\text{SO}(8),\text{SO}(9)\), \(F_4\) and the related Weyl groups. Zbl 1062.81076 Koca, Mehmet; Koç, Ramazan; Al-Barwani, Muataz 10 2003 Polyhedra obtained from Coxeter groups and quaternions. Zbl 1152.52302 Koca, Mehmet; Al-Ajmi, Mudhahir; Koç, Ramazan 9 2007 Catalan solids derived from three-dimensional-root systems and quaternions. Zbl 1310.51019 Koca, Mehmet; Ozdes Koca, Nazife; Koç, Ramazan 8 2010 Group theoretical analysis of 600-cell and 120-cell 4D polytopes with quaternions. Zbl 1116.52005 Koca, Mehmet; Al-Ajmi, Mudhahir; Koç, Ramazan 7 2007 Quasi exact solution of the Rabi Hamiltonian. Zbl 1045.81588 Koç, Ramazan; Koca, Mehmet; Tütüncüler, Hayriye 7 2002 E\({}_ 8\) lattice with icosians and \(Z_ 5\) symmetry. Zbl 0722.22012 Koca, Mehmet 7 1989 Automorphism groups of pure integral octonions. Zbl 0835.22006 Koca, Mehmet; Koç, Ramazan 5 1994 Algebraic treatments of the problems of the spin-1/2 particles in the one- and two-dimensional geometry: a systematic study. Zbl 1074.81072 Koç, Ramazan; Tütüncüler, Hayriye; Koca, Mehmet; Olğar, Eser 5 2005 4D-polytopes and their dual polytopes of the Coxeter group \(W(A_4)\) represented by quaternions. Zbl 1257.52006 Koca, Mehmet; Koca, Nazife Ozdes; Al-Ajmi, Mudhahir 5 2012 Quaternionic representation of snub 24-cell and its dual polytope derived from \(E_8\) root system. Zbl 1230.20049 Koca, Mehmet; Al-Ajmi, Mudhahir; Koca, Nazife Ozdes 4 2011 Quaternionic representation of the Coxeter group \(W(H_4)\) and the polyhedra. Zbl 1109.20305 Koca, Mehmet; Al-Ajmi, Mudhahir; Koç, Ramazan 4 2006 Breaking \(\text{SO}(3)\) into its closed subgroups by Higgs mechanism. Zbl 0928.20038 Koca, Mehmet; Koç, Ramazan; Al-Barwani, Muataz 4 1997 Explicit breaking of \(\text{SO}(3)\) with Higgs fields in the representations \(\ell= 2\) and \(\ell= 3\). Zbl 1050.81031 Koca, Mehmet; Koç, Ramazan; Tütüncüler, Hayriye 4 2003 Division algebras with integral elements. Zbl 0686.22005 Koca, Mehmet; Ozdes, Nazife 3 1989 Twelvefold symmetric quasicrystallography from the lattices \(F_4\), \(B_6\) and \(E_6\). Zbl 1341.52036 Koca, Nazife O.; Koca, Mehmet; Koc, Ramazan 3 2014 Affine Coxeter group \(W_a(A_4)\), quaternions, and decagonal quasicrystals. Zbl 1293.11080 Koca, Mehmet; Koca, Nazife Ozdes; Koc, Ramazan 3 2014 Snub 24-cell derived from the Coxeter-Weyl group \(W(D_4)\). Zbl 1267.51015 Koca, Mehmet; Koca, Nazife Ozdes; Al-Barwani, Muataz 3 2012 Quasi-exact-solution of the generalized \(E\otimes \varepsilon\) Jahn-Teller Hamiltonian. Zbl 1098.82525 Koç, Ramazan; Tütüncüler, Hayriye; Koca, Mehmet; Körcük, Eser 2 2003 Spectrum of the relativistic particles in various potentials. Zbl 1119.81322 Koç, Ramazan; Koca, Mehmet 2 2005 Symmetries of the octonionic system of \(E_ 8\). Zbl 0752.22005 Koca, Mehmet 2 1992 Coxeter groups, quaternions, symmetries of polyhedra and 4D polytopes. Zbl 1339.82015 Koca, Mehmet; Koca, N. Özdeş 2 2013 Icosians versus octonions as descriptions of the \(E_ 8\) lattice. Zbl 0682.22017 Koca, Mehmet 1 1989 The Chevalley group \(G_2(2)\) of order 12096 and the octonionic root system of \(E_7\). Zbl 1162.17015 Koca, Mehmet; Koç, Ramazan; Koca, Nazife Ö. 1 2007 Grand antiprism and quaternions. Zbl 1179.82126 Koca, Mehmet; Ajmi, Mudhahir Al; Koca, Nazife Ozdes 1 2009 G\({}_ 2(2)\) as the automorphism group of the octonionic root system of \(E_ 7\). Zbl 0713.22011 Karsch, F.; Koca, M. 1 1990 Mass formulae in Toda field theories. Zbl 0741.58057 Koca, Mehmet; Mussardo, Giuseppe 1 1991 Group-theoretical analysis of aperiodic tilings from projections of higher-dimensional lattices \(B_n\). Zbl 1337.52015 Koca, Mehmet; Koca, Nazife Ozdes; Koc, Ramazan 1 2015 Group-theoretical analysis of aperiodic tilings from projections of higher-dimensional lattices \(B_n\). Zbl 1337.52015 Koca, Mehmet; Koca, Nazife Ozdes; Koc, Ramazan 1 2015 Twelvefold symmetric quasicrystallography from the lattices \(F_4\), \(B_6\) and \(E_6\). Zbl 1341.52036 Koca, Nazife O.; Koca, Mehmet; Koc, Ramazan 3 2014 Affine Coxeter group \(W_a(A_4)\), quaternions, and decagonal quasicrystals. Zbl 1293.11080 Koca, Mehmet; Koca, Nazife Ozdes; Koc, Ramazan 3 2014 Coxeter groups, quaternions, symmetries of polyhedra and 4D polytopes. Zbl 1339.82015 Koca, Mehmet; Koca, N. Özdeş 2 2013 4D-polytopes and their dual polytopes of the Coxeter group \(W(A_4)\) represented by quaternions. Zbl 1257.52006 Koca, Mehmet; Koca, Nazife Ozdes; Al-Ajmi, Mudhahir 5 2012 Snub 24-cell derived from the Coxeter-Weyl group \(W(D_4)\). Zbl 1267.51015 Koca, Mehmet; Koca, Nazife Ozdes; Al-Barwani, Muataz 3 2012 Quaternionic representation of snub 24-cell and its dual polytope derived from \(E_8\) root system. Zbl 1230.20049 Koca, Mehmet; Al-Ajmi, Mudhahir; Koca, Nazife Ozdes 4 2011 Catalan solids derived from three-dimensional-root systems and quaternions. Zbl 1310.51019 Koca, Mehmet; Ozdes Koca, Nazife; Koç, Ramazan 8 2010 Grand antiprism and quaternions. Zbl 1179.82126 Koca, Mehmet; Ajmi, Mudhahir Al; Koca, Nazife Ozdes 1 2009 Polyhedra obtained from Coxeter groups and quaternions. Zbl 1152.52302 Koca, Mehmet; Al-Ajmi, Mudhahir; Koç, Ramazan 9 2007 Group theoretical analysis of 600-cell and 120-cell 4D polytopes with quaternions. Zbl 1116.52005 Koca, Mehmet; Al-Ajmi, Mudhahir; Koç, Ramazan 7 2007 The Chevalley group \(G_2(2)\) of order 12096 and the octonionic root system of \(E_7\). Zbl 1162.17015 Koca, Mehmet; Koç, Ramazan; Koca, Nazife Ö. 1 2007 Maximal subgroups of the Coxeter group \(W(H_4)\) and quaternions. Zbl 1087.20036 Koca, Mehmet; Koç, Ramazan; Al-Barwani, Muataz; Al-Farsi, Shadia 13 2006 Quaternionic root systems and subgroups of the Aut\((F_{4})\). Zbl 1111.17004 Koca, Mehmet; Al-Barwani, Muataz; Koç C, Ramazan 10 2006 Quaternionic representation of the Coxeter group \(W(H_4)\) and the polyhedra. Zbl 1109.20305 Koca, Mehmet; Al-Ajmi, Mudhahir; Koç, Ramazan 4 2006 Algebraic treatments of the problems of the spin-1/2 particles in the one- and two-dimensional geometry: a systematic study. Zbl 1074.81072 Koç, Ramazan; Tütüncüler, Hayriye; Koca, Mehmet; Olğar, Eser 5 2005 Spectrum of the relativistic particles in various potentials. Zbl 1119.81322 Koç, Ramazan; Koca, Mehmet 2 2005 A systematic study on the exact solution of the position dependent mass Schrödinger equation. Zbl 1048.81019 Koç, Ramazan; Koca, Mehmet 34 2003 Quaternionic roots of \(\text{SO}(8),\text{SO}(9)\), \(F_4\) and the related Weyl groups. Zbl 1062.81076 Koca, Mehmet; Koç, Ramazan; Al-Barwani, Muataz 10 2003 Explicit breaking of \(\text{SO}(3)\) with Higgs fields in the representations \(\ell= 2\) and \(\ell= 3\). Zbl 1050.81031 Koca, Mehmet; Koç, Ramazan; Tütüncüler, Hayriye 4 2003 Quasi-exact-solution of the generalized \(E\otimes \varepsilon\) Jahn-Teller Hamiltonian. Zbl 1098.82525 Koç, Ramazan; Tütüncüler, Hayriye; Koca, Mehmet; Körcük, Eser 2 2003 A new class of quasi-exactly solvable potentials with a position-dependent mass. Zbl 1066.81629 Koć, Ramazan; Koca, Mehmet; Körcük, Eser 18 2002 Quasi exact solution of the Rabi Hamiltonian. Zbl 1045.81588 Koç, Ramazan; Koca, Mehmet; Tütüncüler, Hayriye 7 2002 Noncrystallographic Coxeter group \(H_4\) in \(E_8\). Zbl 1007.20039 Koca, Mehmet; Koç, Ramazan; Al-Barwani, Muataz 12 2001 Breaking \(\text{SO}(3)\) into its closed subgroups by Higgs mechanism. Zbl 0928.20038 Koca, Mehmet; Koç, Ramazan; Al-Barwani, Muataz 4 1997 Automorphism groups of pure integral octonions. Zbl 0835.22006 Koca, Mehmet; Koç, Ramazan 5 1994 Symmetries of the octonionic system of \(E_ 8\). Zbl 0752.22005 Koca, Mehmet 2 1992 Mass formulae in Toda field theories. Zbl 0741.58057 Koca, Mehmet; Mussardo, Giuseppe 1 1991 G\({}_ 2(2)\) as the automorphism group of the octonionic root system of \(E_ 7\). Zbl 0713.22011 Karsch, F.; Koca, M. 1 1990 E\({}_ 8\) lattice with icosians and \(Z_ 5\) symmetry. Zbl 0722.22012 Koca, Mehmet 7 1989 Division algebras with integral elements. Zbl 0686.22005 Koca, Mehmet; Ozdes, Nazife 3 1989 Icosians versus octonions as descriptions of the \(E_ 8\) lattice. Zbl 0682.22017 Koca, Mehmet 1 1989 all cited Publications top 5 cited Publications all top 5 Cited by 154 Authors 12 Koca, Mehmet 8 Koca, Nazife Ozdes 7 Dechant, Pierre-Philippe 7 Koç, Ramazan 5 Rañada, Manuel F. 5 Sever, Ramazan 4 Cariñena, José F. 4 Santander, Mariano 3 Ajmi, Mudhahir Al 3 Bentaiba, Mustapha 3 Ikhdair, Sameer M. 3 Lee, Jae-Hyouk 3 Yahiaoui, Sid-Ahmed 2 Al-Barwani, Muataz 2 Batchelor, Murray T. 2 Jia, Chunsheng 2 Luan, Yongzhi 2 Nikitin, Anatoly Glebovich 2 Tezcan, Cevdet 2 Tütüncüler, Hayriye 1 Adanmitonde, A. J. 1 Adulpravitchai, Adisorn 1 Aktaş, Metin 1 Al-Siyabi, Abeer 1 Alhaidari, Abdulaziz D. 1 Avossevou, Gabriel Y. H. 1 Azeredo, Abel D. 1 Bahar, Mustafa Kemal 1 Berestovskiĭ, Valeriĭ Nikolaevich 1 Bisht, P. S. 1 Boehm, Céline 1 Bracken, Paul Francis 1 Bucurgat, Mahmut 1 Cari, Cari 1 Castro, Sofia B. S. D. 1 Chang, Woonyoung 1 Chen, Gang 1 Chen, Zidong 1 Cherroud, Othmane 1 Choi, JiHyun 1 Choreño, E. 1 Christodoulides, Demetrios N. 1 Chung, Kwokwai 1 Davis, Simon Brian 1 Debnath, Swapna 1 Dehdashti, Shahram 1 Dossa, Anselme F. 1 Dunning, Clare 1 Eguibar, Francisco Soto- 1 Ermiş, Temel 1 Evans, David E. 1 Faniandari, Suci 1 Feingold, Alex Jay 1 Fring, Andreas 1 Gang, Chen 1 Gdawiec, Krzysztof 1 Gelisgen, Ozcan 1 Grabowiecka, Zofia 1 Granados, Victor D. 1 Guan, Kai-Long 1 Günaydin, Murat 1 Gusso, Andre 1 Harjana, Harjana 1 Ioffe, Mikhail V. 1 Jahangiri, L. 1 Jiang, Ling 1 Jiang, Wuyou 1 Kalafat, Mustafa 1 Kallosh, Renata Èrnestovna 1 Kephart, Thomas W. 1 Kim, Myeung Su 1 Kim, Yeonjun 1 Kirchbach, Mariana 1 Kleinschmidt, Axel 1 Koç C, Ramazan 1 Koca, Caner 1 Korff, Christian 1 Kuru, Şengül 1 Labouriau, Isabel S. 1 Lee, Chaohong 1 Lee, Sung Hwan 1 Lee, Youngjun 1 Lévai, Géza 1 Li, Zi-Min 1 Linde, Andrei D. 1 Liu, Jianyi 1 Luhn, Christoph 1 Lux, Klaus Martin 1 Maciejewski, Andrzej J. 1 Mahdifar, Ali 1 Maji, Smarajit 1 Merle, Alexander 1 Meyur, Sanjib 1 Midya, Bikashkali 1 Moayyeri, H. 1 Moody, Robert Vaughan 1 Morita, Jun 1 Moroz, Alexander 1 Moya-Cessa, Héctor Manuel 1 Nam, Seungbum ...and 54 more Authors all top 5 Cited in 30 Serials 23 Journal of Mathematical Physics 10 International Journal of Theoretical Physics 10 Physics Letters. A 6 Journal of High Energy Physics 6 International Journal of Geometric Methods in Modern Physics 5 Advances in Applied Clifford Algebras 4 Journal of Physics A: Mathematical and Theoretical 3 Acta Crystallographica. Section A 3 Symmetry 2 Communications in Algebra 2 Applied Mathematics and Computation 2 Annals of Physics 2 Advances in High Energy Physics 1 International Journal of Modern Physics A 1 Nuclear Physics. B 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 Reviews in Mathematical Physics 1 Czechoslovak Mathematical Journal 1 Geometriae Dedicata 1 Journal of Algebra 1 Journal of the Korean Mathematical Society 1 L’Enseignement Mathématique. 2e Série 1 Journal of Mathematical Chemistry 1 Matematicheskie Trudy 1 Czechoslovak Journal of Physics 1 Journal of Algebra and its Applications 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Asian-European Journal of Mathematics 1 Palestine Journal of Mathematics all top 5 Cited in 31 Fields 61 Quantum theory (81-XX) 22 Group theory and generalizations (20-XX) 14 Convex and discrete geometry (52-XX) 11 Nonassociative rings and algebras (17-XX) 10 Geometry (51-XX) 9 Partial differential equations (35-XX) 7 Special functions (33-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Topological groups, Lie groups (22-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Differential geometry (53-XX) 5 Mechanics of particles and systems (70-XX) 4 Number theory (11-XX) 4 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Relativity and gravitational theory (83-XX) 2 Algebraic geometry (14-XX) 2 Functions of a complex variable (30-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year