Publications
In Mathematical Physics: Complete List /
En Physique mathématique: Liste complète
-
A.F. Antippa (2011), "Finite Difference
Approach To Trigonometry" Journal of Difference Equations and Applications vol. 17, no. 9, pp. 1365-1400.
(Reference JDEA)
-
A.F. Antippa and D. M. Dubois, "Time-Symmetric Discretization of The
Harmonic Oscillator", in
Computing Anticipatory Systems : CASYS'09 - Nineth International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference
Proceedings
AIP CP 1303 pp. 121 - 125 (2010).
(Reference AIP)
-
A.F. Antippa and D. M. Dubois, "Discrete Harmonic Oscillator:
A Short Compendium of Formulas", in
Computing Anticipatory Systems : CASYS'09 - Nineth International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference
Proceedings
AIP CP 1303 pp. 111 - 120 (2010).
(Reference AIP)
-
A.F. Antippa and D. M. Dubois, "Discrete Harmonic Oscillator:
Evolution of Notation and Cumulative Erratum", in
Computing Anticipatory Systems : CASYS'09 - Nineth International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference
Proceedings
AIP CP 1303 pp. 126 - 130 (2010).
(Reference AIP)
-
A.F. Antippa and D. M. Dubois, "Synchronous Discrete Harmonic Oscillator", in
Computing Anticipatory Systems : CASYS'07 - Eighth International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings
AIP CP 1051 pp. 82 - 99 (2008).
(Reference AIP)
-
A.F. Antippa and D. M. Dubois, "Hyperincursive Discrete Harmonic Oscillator",
Journal of Mathematical Physics
vol. 49,
no. 3, 032701 (6 pages) (2008).
(Abstract)
(Reference JMP)
-
A.F. Antippa, "Recursive Formulation
of the Relativistic Law of Superposition of Multiple Collinear
Velocities" Journal of Difference Equations and
Applications, vol. 13, no. 7, pp. 563-575, (2007).
(Abstract)
(Reference JDEA)
-
A.F. Antippa and D. M. Dubois, "Incursive Discretization, System Bifurcation, and Energy Conservation",
Journal of Mathematical Physics
vol. 48,
no. 1, 012701 (9 pages) (2007).
(Abstract)
(Reference JMP)
-
A.F. Antippa and D. M. Dubois, "The Superposed Hyperincursive System of the Discrete Harmonic Oscillator", in
Computing Anticipatory Systems : CASYS'05 - Seventh International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings, AIP
CP 839, pp. 65 - 126 (2006).
(Abstract) (Reference AIP)
(Reference CASYS)
-
A.F. Antippa and D. M. Dubois, "The Dual Incursive System of the Discrete Harmonic Oscillator", in
Computing Anticipatory Systems : CASYS'05 - Seventh International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings, AIP
CP 839, pp. 11 - 64 (2006).
(Abstract) (Reference AIP)
(Reference CASYS)
-
G. Plante and
A.F. Antippa,
"Analytic Solution of the Schrödinger Equation for the
Coulomb-plus-Linear Potential: I. The Wave Functions",
Journal of Mathematical Physics
vol. 46, no. 6, 062108 (2005).
(Abstract)
(Reference JMP)
-
A.F. Antippa and D. M. Dubois, "Anticipation, Orbital Stability, and
Energy Conservation in Discrete
Harmonic Oscillators" in
Computing
Anticipatory Systems : CASYS'03 - Sixth International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings, AIP
CP 718, pp. 3 - 44 (2004).
(Abstract)
(Reference AIP)
(Reference CASYS)
-
A.F. Antippa, "Hypersymmetric
Functions and Pochhammers of 2x2 Nonautonomous Matrices", International Journal of Mathematics and Mathematical
Sciences, vol. 2004, no.
59, pp. 3151-3170 (2004).
(Abstract)
(Reference IJMMS)
-
A.F. Antippa, "Analytic
Evaluation of Factorial Polynomials For 2x2 Nonautonomous
Matrices" Journal of Difference Equations and
Applications, vol. 10, no. 4 , pp. 437-446 (2004).
(Abstract)
(Reference JDEA)
-
A.F. Antippa, "The Combinatorial
Structure of Trigonometry", International Journal of Mathematics and Mathematical
Sciences, vol. 2003, no.
8, pp. 475-500 (2003).
(Abstract) (Reference IJMMS)
-
A.F. Antippa and D. M. Dubois, "The Harmonic Oscillator via
The Discrete Path Approach", International Journal of Computing Anticipatory
Systems, vol. 11, pp. 141-153 (2002).
(Abstract)
(Order IJCAS)
-
A.F. Antippa, "Exact Closed Form
Solution For Two Coupled Inhomogeneous First Order Difference Equations
With Variable Coefficients", Journal of Difference Equations and Applications,
vol. 8, no. 3, pp. 255-276 (2002).
(Abstract)
(Reference JDEA)
-
A.F. Antippa, "On the Lie Algebra of
the Rotation Group",
European
Journal of Physics, vol. 18,
no. 4, pp. 253-255 (1997).
(Abstract) (Reference EJP)
-
A.F. Antippa, "On the Derivation of
the Rotation Operator",
Canadian Journal of Physics,
vol. 75, no. 8, pp. 581-589 (1997).
(Abstract) (Reference CJP)
-
A.F. Antippa and N.K. Toan,
"Topological Solution of Ordinary
and Partial Finite Difference Equations",
Journal of Mathematical
Physics, vol. 21, no. 10, pp. 2475-2480 (1980).
(Abstract) (Reference JMP)
-
A.F. Antippa and N.K. Toan,
"Topological Solution for Systems of
Simultaneous Linear Equations",
Journal of Mathematical
Physics, vol. 20, no. 12, pp. 2375-2379 (1979).
(Abstract) (Reference JMP)
-
A.F. Antippa and N.K. Toan, "The
Linear Potential Eigenenergy Equation I: the
Coefficients Kn(3l ') ",
Canadian Journal of Physics, vol. 57,
no. 3, pp.
417-427 (1979).
(Abstract) (Reference CJP)
-
A.F. Antippa and A.J. Phares, "The
Linear Potential: A Solution in Terms
of Combinatorics Functions",
Journal of Mathematical
Physics, vol. 19, no. 1, pp. 308-319 (1978).
(Abstract) (Reference JMP)
-
A.F. Antippa, "Discrete Path
Approach to Linear Recursion Relations",
Journal of Mathematical
Physics, vol. 18, no. 11, pp. 2214-2222 (1977).
(Abstract)
(Reference JMP)
-
A.F. Antippa and A.J. Phares,
"General Formalism Solving Linear Recursion
Relations",
Journal of Mathematical
Physics, vol. 18, no. 1, pp. 173-181 (1977).
(Abstract) (Reference JMP)