Selected Publications in Physics & Mathematics
Selected Articles in Greek ; also here
Scientific Publications
C. J. Papachristou, B. K. Harrison,
Isogroups of differential ideals of vector-valued differential forms: Application to partial differential equations
Acta Appl. Math. 11 (1988) 155
C. J. Papachristou, B. K. Harrison,
Some aspects of the isogroup of the self-dual Yang-Mills system
J. Math. Phys. 28 (1987) 1261
C. J. Papachristou, B. K. Harrison,
Nonlocal symmetries and Bäcklund transformations for the self-dual Yang-Mills system
J. Math. Phys. 29 (1988) 238
C. J. Papachristou, B. K. Harrison,
Bäcklund transformations and local conservation laws for self-dual Yang-Mills fields with arbitrary gauge group
Phys. Lett. A 127 (1988) 167
C. J. Papachristou, B. K. Harrison,
Local currents for the GL(N,C) self-dual Yang-Mills equation
Lett. Math. Phys. 17 (1989) 285
C. J. Papachristou,
Nonlocal currents for the self-dual Yang-Mills equation
Phys. Lett. A 138 (1989) 493
C. J. Papachristou,
Potential symmetries for self-dual gauge fields
Phys. Lett. A 145 (1990) 250
C. J. Papachristou,
Recursion operator and current algebras for the potential SL(N,C) self-dual Yang-Mills equation
Phys. Lett. A 154 (1991) 29
C. J. Papachristou,
Lax pair, hidden symmetries, and infinite sequences of conserved currents for self-dual Yang-Mills fields
J. Phys. A 24 (1991) L 1051
C. J. Papachristou, B. K. Harrison,
Lax pair, conserved currents, and hidden symmetry transformation for the Ernst equation
Phys. Lett. A 190 (1994) 407
E. G. Larson, C. J. Papachristou,
Hilbert spaces with non-orthonormal bases: Geometry and Quantum Mechanics
J. Utah Acad. Sci. 62 (1985) 78
C. J. Papachristou,
Symmetry and integrability of classical field equations
Nausivios Chora, Vol. 2 (2008) 341
https://arxiv.org/abs/0803.3688
C. J. Papachristou, B. K. Harrison,
A method for constructing a Lax pair for the Ernst equation
Electron. J. Theor. Phys. 6, No. 22 (2009) 29
C. J. Papachristou,
Symmetry, conserved charges, and Lax representations of nonlinear field equations: A unified approach
Electron. J. Theor. Phys. 7, No. 23 (2010) 1
C. J. Papachristou, B. K. Harrison,
Bäcklund-transformation-related recursion operators: Application to the self-dual Yang-Mills equation
J. Nonlin. Math. Phys., Vol. 17, No. 1 (2010) 35
https://link.springer.com/article/10.1142/S1402925110000581
C. J. Papachristou,
Symmetry and integrability of a reduced, 3-dimensional self-dual gauge field model
Electron. J. Theor. Phys. 9, No. 26 (2012) 119
C. J. Papachristou,
Foundations of Newtonian dynamics: An axiomatic approach for the thinking student
Nausivios Chora, Vol. 4 (2012) 153
https://nausivios.hna.gr/docs/2012C2.pdf
New version: https://arxiv.org/abs/1205.2326 ; see also here
C. J. Papachristou, A. N. Magoulas,
Electromotive force: A guide for the perplexed
Nausivios Chora, Vol. 5 (2014) C-3
https://nausivios.hna.gr/docs/2014C1.pdf
C. J. Papachristou, A. N. Magoulas,
Does the electromotive force (always) represent work?
Advanced Electromagnetics, Vol. 4, No. 1 (2015) 10-15
https://aemjournal.org/index.php/AEM/article/view/257 ; PDF
C. J. Papachristou,
The Maxwell equations as a Bäcklund transformation
Advanced Electromagnetics, Vol. 4, No. 1 (2015) 52-58
https://aemjournal.org/index.php/AEM/article/view/311 ; PDF
C. J. Papachristou, A. N. Magoulas,
Bäcklund transformations: Some old and new perspectives
Nausivios Chora, Vol. 6 (2016) C-3
https://nausivios.hna.gr/docs/2016C.pdf
C. J. Papachristou, A. N. Magoulas,
Some aspects of the electromotive force
META Publishing, No. 56 (2017)
https://metapublishing.org/index.php/MP/catalog/book/56 ; PDF
C. J. Papachristou,
Revisiting the charging-capacitor problem
Advanced Electromagnetics, Vol. 7, No. 2 (2018) 10-12
https://www.aemjournal.org/index.php/AEM/article/view/694 ; PDF
New results: https://metapublishing.org/index.php/MP/catalog/book/57 and arxiv.org/abs/1802.01652
Book chapter: novapublishers.com/shop/electromagnetic-theory-new-research-and-developments/
C. J. Papachristou, A. N. Magoulas,
On solving Maxwell’s equations for a charging capacitor
Nausivios Chora, Vol. 7 (2018) C-3
https://nausivios.hna.gr/docs/2018C1.pdf
C. J. Papachristou,
Infinitesimal symmetry transformations of matrix-valued differential equations: An algebraic approach
Nausivios Chora, Vol. 7 (2018) C-31
https://nausivios.hna.gr/docs/2018C3.pdf
New version: https://arxiv.org/abs/1804.06303
C. J. Papachristou,
Work of a time-dependent force
META Publishing, No. 63 (2019)
https://metapublishing.org/index.php/MP/catalog/book/63 ; PDF
C. J. Papachristou,
On non-monochromatic plane-wave solutions of Maxwell's equations
META Publishing, No. 70 (2020)
https://metapublishing.org/index.php/MP/catalog/book/70
New version: arxiv.org/abs/2003.06510
Book chapter: novapublishers.com/shop/electromagnetic-theory-new-research-and-developments/
C. J. Papachristou, A. N. Magoulas,
Independence of Maxwell's equations: A Bäcklund-transformation view
Nausivios Chora, Vol. 8 (2022) C-3
https://nausivios.hna.gr/docs/NCH_v8_2022_C1.pdf
C. J. Papachristou,
Approximate solutions of Maxwell’s equations for a charging capacitor
Nausivios Chora, Vol. 8 (2022) C-47
https://nausivios.hna.gr/docs/NCH_v8_2022_C3.pdf
Popular Science
C. J. Papachristou,
The hidden symmetry and Mr. Higgs!
Electromagnetic waves, gravitational waves and the prophets who predicted them
But, how can the atom be so stable, Dr. Maxwell?
Debunking the myth of a "flat Earth" (An elementary introduction to non-Euclidean geometry)
Humanities
C. J. Papachristou,