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
CMS
homepage