Selected List of Publications
 

• J. Keller, Wave equation of symmetries corresponding to elementary particle symmetries, Int. J. of Theoretical. Physics 21 (10/11) p. 829--836 (1982); Spacetime dual geometry theory of elementary particles and their interaction fields, ibid, 23 (9) p. 817--37 (1984); A generalization of the Dirac equation admitting isospin and color symmetries, ibid, 25 (8) p. 779--806 (1986); Spinors and multivectors as a unified tool for spacetime geometry and for elementary particle physics, ibid, 30 (2) p. 137--184 (1991);
• J. Keller and S. Rodríguez-Romo, ibid, Multivector representation of Lie groups, 30 (2) p. 185--196 (1991).
• J. Keller and S. Rodríguez-Romo, A multivectorial Dirac equation, J. Math. Phys. 31 (10) p. 2501--2510 (1990); Multivector generalization of the Cartan map, ibid,32 (6) p. 1591--1598 (1991);
•  J. Keller and A. Rodríguez, Geometric Superalgebra and the Dirac Equation, J. of Mathematical Physics 33 (1), 161-170, (1992).
• J. A. Flores, J. Keller, Differential Equations for the Square Root of the Electronic Density in Symmetry Constrained Density Functional Theory, Phys. Rev. A 45 (9) 6259-6262 (1992).
• J. Keller, Dirac Equations with Electroweak and Color Symmetry, in: Differential Geometric Methods in Theoretical Physics, 1, 355-361, (1992), S. Catto & A. Rocha, eds., World Scientific, Singapore.
• J. Keller, Algebras: Old and New and Their Use, Advances in Applied Clifford Algebras, 2 (1), 3-6 (1992).
• J. Keller, M.A. Leiba, G. Tavizon, J. Fernández, J.M. Aceves, Sintesís y Caracterización de Fullerenos: C60 y C70, Proceedings: II Taller Iberoamericano sobre Tamices, Oaxaca, Mex., 25-27 noviembre, 1992.
• J. Keller, Tautology of Quantum Mechanics and Spacetime, Vistas in Astronomy, 37, 283-286, (1993); and in: Proceedings of the Symposium on Quantum Physics and the Universe, Tokyo, Japón, August 19-22, (1992).
• P. de la Mora, J. Keller, C. de Teresa, Axial Oxygen Movement as a Possible Mechanism of Superconductor in Yba2Cu3O7, Proceedings of 2nd CINVESTAV Superconductivity Symposium , "Manifestations of the Electron-Phonon Interaction" Tequisquiapan, Mexico, 2-9 November 1992 Ed Rafael Baquero, World Scientific, (1993).
• J. Keller, Unified Mathematical Approach to Spinors and Multivectors , Geometric Superalgebra in: Int. J. of Modern Physics A, 3A, 511-514 (1993).
• J. Keller, Dual Space and Clifford Algebras, Advances in Applied Clifford Algebras, 3 (1), 1-6 (1993).
• F. Reuse, and J. Keller, Construction of a Faithful Vector Representation of the Newtonian Description of Space-Time and the Galilei Group, Advances in Applied Clifford Algebras, 3 (1), 55-74 (1993).
• J. Keller, Dirac Form of Maxwell Equation Zn-Graded Algebras, In: Spinors, Twistors, Clifford Algebras and Quantum Deformations, 189-196, Z. Oziewicz, B. Jancewicz, A. Borowiec (eds), 1993, Kluwer Academic Publishers, the Netherlands.
• J. Keller, Quaternionic, Complex, Duplex and Real Clifford Algebras,  Advances in Applied Clifford Algebras, 4 (1), 1-12 (1994).
• J. Keller, Clifford Algebra and the Construction of a Theory of Elementary Particle Fields, Advances in Applied Clifford Algebras (Proc. Suppl.), 4 (S1), 379-393 (1994). .
• J. Keller, Twistors as Geometric Objects in Spacetime, Clifford Algebras and Spinor Structures, P. Lounesto, R. Ablamowicz, eds., Kluwer Academic Publishers, 133-135, (1994).
• P. de la Mora and J. Keller, Coupling of the Ionic Motions with the Electronic Structure in the YBa2Cu3O7 High Tc Superconductor, Physica C, 235-240, 2375-2376, North Holland (1994).
• J. Keller, Factorization of the Laplacian and Families of Elementary Particles, in: Symmetry Methods in Physics, Vol. I, Eds. A.N. Sissakian, G.S. Pogosyan, S.I. Vinitsky, pp. 236- 241, Dubna (1994).
• V. K. Kharchenko, J. Keller y S. Rodríguez Romo, Prime rings with Pl ring of constants, Israel Journal of Mathematics. 96, (B) 357-377, (1996).
• Yu-Fen Liu, and J. Keller, A Symmetry of Massless Fieds, Journal of Mathematical Physics, 37 (9), 4320-4332 (1996).
• J. Keller, A. Rodríguez and R. M. Yamaleev, An Algebraic Linear Relativistic Equation Over Twistor Fields with Confined States, Advances in Applied Clifford Algebras, 6 (2), 275-300, (1996).
• V. E. Tchijov, J. Keller, S. Rodríguez-Romo and S. Nechaev, Fractal Structures in Colored DLA Model, Rev. Soc. Quim. Mex., 41 (1), 45-47 (1997).
• J. Keller, Spinors as a basis of geometric superalgebra, Advances in Applied Clifford Algebras, 1 (1) p. 31--50 (1991); The geometric content of the electron theory: Fock and Iwanenko 1929, ibid, 2 (2) p. 195--196 (1992); Clifford algebra and the construction of a theory of elementary particle fields, ibid, 4 (S1) p. 379--393 (1994); Spinors, Twistors, Screw, Mexors and the massive spinning electron "The Theory of the Electron", ibid, 7 (S) p. 439--455 (1997).
• J. Keller, On the electron theory, “The Theory of the Electron”, Advances in Applied Clifford Algebras, 7 (S) 3-26, (1997).
• V.E. Tchijov, J. Keller and S. Rodríguez Romo, Fractals in two-dimensional model of colered diffusion-limited aggregation, Revista Mexicana de Física, 43 (3), 348-360 (1997).
• V. E. Tchijov, J. Keller, S . Rodriguez Romo, and O. Nagomov, Kinetics of Phase Transitions Induced by Shock-Wave Loading in Ice, Journal of Physical Chemistry B, 101, (32), 6215-6218 (1997).
• J. Keller, and R. M. Yamaleev, Equations of Motion for Spinning Massive Particles over Twistor Fields, Advances in Applied Clifford Algebras, 7 (2), 141-166, (1997).
• E. Agacino Valdes, P. de la Mora, M. Castro and J. Keller, Theoretical Calculation of Carbon Clusters, International Journal of Quantum Chemistry, 65, 867-875 (1997)
• V. Kharchenko, J. Keller and S. Rodríguez Romo, Quantum Invariants of Glq (2,C) in C(1,3), Anales de la International Algebraic Conference dedicated to the memory P. K. Faddeev, St Petersburg, Russia 24-30 June, (1997).
• J. Keller, Twistors and Clifford Algebras, in: Clifford Algebras and their Applications in Mathematical Physics, V. Dietrich, K. Habetha and G. Jank (eds.), Kluwer Academic Publishers. 161-173, (1998).
• J. Keller, R. M. Yamaleev and A. Rodríguez, Algebraic and Differential Equations for Spinning Particles on the Sphere, Advances in Applied Clifford Algebras, 8 (2), 235-254 (1998).
• F. A. Gareev, J. Keller and R. M. Yamaleev, On Quantization of the Decay Products Momenta in the Elementary Particle Resonances, Advances in Applied Clifford Algebras, 8 (2), 255-270 (1998).
• R. M. Yamaleev, A. Rodríguez and J. Keller, Parton-like Particle bound States as Solutions of a linearized Relativistic Equation, Advances in Applied Clifford Algebras, 8 (2), 433-441 (1998).
• V. K. Kharchenko, J. Keller and S. Rodríguez-Romo, Actions of Glq (2,C) on C(1,3) and its four dimensional representations, Communications in Algebra, 27 (4), 1843-1878, (1999).
• J. Keller, The geometric content of the electron theory (part I), Advances in Applied Clifford Algebras, 3 (2) p. 147--200 (1993); The geometric content of the electron theory (part II), ibid, 9 (2) p. 201-278 (1999).
• J. Keller, Factorization of the Laplacian and families of elementary particles, In Symmetry Methods in Physics, edited by A. N. Sissakian, G. S. Pogosyan,.and S. I. Vinitsky (JIRN, Dubna, 1994), p. 236--241; Complex spacetime formulation of a theory of elementary particles, Physics of Atomic Nuclei. 61 (12), (1999).
• J. Keller, On the formulation of the Hohenberg-Kohn Sham theory, Int. J. Quantum Chem. Symp. 20, 767 (1986); J. Keller and E. Ludeña, Density functional theory formalism, ibid, 21 p. 171 (1987); J. A. Flores and J. Keller, Differential equations for the square root of the electronic density in symmetry-constrained density-functional theory, Phys. Rev. A. 45 (9) p. 6259-6262 (1992); J. Keller, A. Keller, and J. A. Flores, La búsqueda de una ecuacion para la (raiz cuadrada de la) densidad electronica, Folia Chimica Theoretica Latina, XVIII, (4) p. 175-186 (1990).
• J. Keller, Physicochemical History of an Intermediate Planets, Proc. Conf. Geometrization of Physics IV, Kazan, Kazan Univ., Press, 142-159, 2000.
• J. Keller, The Geometric Content of the Electron Theory (Part II) Theory of the Electron From START, Advances in Applied Clifford Algebras, 9 (2), 309-395 1999.
• J. Keller, The Foundations of Density Functional Theory and Wave Quantum Mechanics, Rev. Soc. Quím. Méx, 44 (1), 22-28 2000.
• J. Keller, Space-Time-Action Relativity Theory, Proceedings of the Sixth International Wigner Symposium (1999), Istambul, Turkey, 295-316 (2002)
• J. Keller, Space-Time-Action Geometrical Unity as origin of a Structural Theory of Matter, Proc. Conf. Geometrization of Physics IV , Kazan, Kazan Univ., Press. 22-39, 2000.
• J. Keller, Physicochemical History of Intermediate Size Planets, Georesources, 2(2), 13-23, 1608-5035, 2000.
• E. Angeles, P. Martínez, J. Keller, R. Martínez, M. Rubio, G. Ramírez, R. Castillo, R. López-Castañares, E. Jiménez., Ethyl and methylphenylcarbamates as antihelmintic agents: theoretical study for predicting their biological activity by PM3, Journal of Molecular Structure (Theochem), 504 (2000) 141-170.
• J. Keller, Action Density Functional Theory, “Physics of Low Dimensional System” J. L. Morán-López Ed., Kluwer Academic Press, 445-452, (2001).
• M. Erbudak, A. Hensch, J. Keller, B. Rössner, A. R. Kortan, An empirical study of the Mn partial density of states in icosahedral , Al 70 Pd 20 Mn 10, Journal of Electron Spectroscopy and Related Phenomena 1 (2001).
• J. Keller, The Theory of the Electron A Theory of Matter from START, From the series: Fundamental Theories of Physics, 115, Dordrecht, Kluwer Academic Publishers, vol. 115 pp 257, febrero 14 de 2001., Hardbound, ISBN 0-7923-6819-3, February 2001, Paperback, ISBN 1-4020-0355-2, Nov. 2001. e-book, ISBN 0-307-47132-9, July 2002,
• J. Keller, General Relativity from START, Clifford Analysis and Related Topics, K. Gürlebeck X. Ji, W. Sprössig Eds., Advances in Applied Clifford Algebras 11 (S2), 183-204 (2001).
• J. Keller, General Relativity as a Symmetry of a Unified Space-Time-Action Geometrical Space, in: "Symmetry in Nonlinear Mathematical Physics", Vol. 43, Part 2, 557-568, 2002
• J. Keller and Peter Weinberger, A Formal Definition of Carriers , Advances in Applied Clifford Algebras Vol. 12 (1), 39-62, 2002.
• J. Keller, Space-Time-Action Relativity Theory, Proceedings of the Sixth International Wigner Symposium (1999), Bogazici University Press, Istambul Turkey, 295-316 (2002).
• J. Keller, A Theory of the Neutrino from START, Electromagnetic Phenomena, Volume 3, No. 1 (9), pp. 115, 2003.
• J. Keller, Unification of electrodynamics and Gravity form START, Annales de la Fondation Louis de Broglie, V. 27, N (3), page 359-410, 2002.
• V. E. Tchijov, J. Keller and Suemi Rodríguez-Romo, "Studies of Equations of State and Thermodynamics functions of High Pressure Il(2)O Polymorphs", Journal of Applied Physics.
• Rodríguez, J. Keller, R. M. Yamaleev, Estados ligados en la Ecuación de Dirac, Construída en un Formalismo Twistorial
• J. Keller, Physics as a 4-D to 5-D generalization of the Lorentz Geometry, Proceedings of the Geometría de Lorentz Conference, Murcia 2003, November 12-14, Publicaciones de la Real Sociedad Matemática Española, 8 (2004).    
• J. Keller, A Theory of the Neutrino from START, Electromagnetic Phenomena, 3, No. 1 (9), 115-133,(2003).
• J. Keller, A derivation of Quantum Mechanics from START, Proceedings of Institute of Mathematics of NAS of Ukraine, 50 (2), 811-820, (2004).
• J. Keller, Principia Geometrica Physicae, Proceedings of the 6th International Symposium "Frontiers of Fundamental and Computational Physics", Udine (Italy) 2004, (Kluwer Academic Publishers, Boston), 163-173, 2005.
• J. Keller, "A Comprehensive Theory of the Electron from START", in: What is the Electron?, Modern Structures, Theories, Hypotheses, V. Simulik, editor, (Montreal: Apeiron), 1-36, (2005).
• J. Keller, "Density Functional Theory from First Principles", In: Condensed Matter Theories Vol 19, Editors Belkacem M. and Dinh P. M., Nova Publisher 2005.
• J. Keller “Geometrical Principles of Physics”  International Conference of Numerical Analysis and Applied Mathematics ICNAAM, T.E. Simos, G. Psihoyios Ch. Tsitouras (Eds.),  Sep. 16-20, 2005. Wiley-VCH Verlag GmbH&Co. KGaA, Weinheim, Germany 926-927, (2005).
• J. Keller and A. Keller, “Geometric Approach in the Calculation of Ground State Electronic Structures”,  7 International Conference on Clifford Algebras and their Applications, Toulouse, France,  19-25 May, 2005, Pierre Anglès Ed. (Birkhäuser, Basel, in press).
• J. Keller, “From START to many-fermion: Principia Geometrica Physicae”, J. Keller , 7 International Conference on Clifford Algebras and their Applications, Toulouse, France  19-25 May, 2005, Pierre Anglès Ed. (Birkhäuser, Basel, in press).
• J. Keller and P. Weinberger “The use of Quadratic Forms in the Calculation of Ground State Electronic Structures”, Journal of Mathematical Physics, 47 (8)  2006.
• J. Keller, “Gravitational field energy approach to interaction from START”, ICNAAM-2006, Wiley-VCH Verlag GmbH & KGaA, Weinheim, T.E.Simos, G. Psihoyios, Ch. Tsitouras (Eds.) 606-611.
• J. Keller, “A comprehensive Theory of Gravitation from START”, Electromagnetic Phenomena Vol. 6, No. 2 (17), 2006 170-177.
• J. Keller “Algebras Generated by Scalar K-atic Forms and Their Linear Forms” Adv. Appl. Clifford Alg.  17  (2)  2007, 241-244.
• J. Keller "Algebras Generated by Geometric Scalar Forms and their Applications in Physics and Social Sciences",  International Conference of Numerical Analysis and Applied Mathematics, Corfu, Greece 16-20 September 2007