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Featured 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 

http://www.ejtp.biz/articles/ejtpv6i22p29.pdf ; see also here


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 

http://www.ejtp.biz/articles/ejtpv7i23p1.pdf ; see also here


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://www.tandfonline.com/doi/pdf/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 

https://web.archive.org/web/20120504053839id_/http://www.ejtp.com/articles/ejtpv9i26p119.pdf ; see also here


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


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/257PDF


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/311PDF


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/56PDF


C. J. Papachristou,

Some remarks on the charging capacitor problem

Advanced Electromagnetics, Vol. 7, No. 2 (2018) 10-12

https://www.aemjournal.org/index.php/AEM/article/view/694PDF

New results:  https://metapublishing.org/index.php/MP/catalog/book/57 ; also here


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


C. J. Papachristou,

Work of a time-dependent force

META Publishing, No. 63 (2019)

https://metapublishing.org/index.php/MP/catalog/book/63PDF


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 ; also here


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!

https://arxiv.org/abs/1401.1327

Electromagnetic waves, gravitational waves and the prophets who predicted them

https://arxiv.org/abs/1603.00871

But, how can the atom be so stable, Dr. Maxwell?

https://arxiv.org/abs/2105.08421 ; also here

Debunking the myth of a "flat Earth" (An elementary introduction to non-Euclidean geometry)

www.researchgate.net/publication/370983645_Debunking_the_myth_of_a_flat_Earth_An_elementary_introduction_to_non-Euclidean_geometry 


Educational Notes

C. J. Papachristou,

One-dimensional Newtonian systems

www.researchgate.net/publication/365321966_One-dimensional_Newtonian_systems 

Amplitude dependence of period in one-dimensional periodic motion

www.researchgate.net/publication/362965207_Amplitude_dependence_of_period_in_one-dimensional_periodic_motion 

A note on the principle of superposition in electrodynamics

www.researchgate.net/publication/365299968_A_note_on_the_principle_of_superposition_in_electrodynamics 

On active and passive transformations

www.researchgate.net/publication/363174599_On_active_and_passive_transformations 

Revisiting Archimedes' principle: Buoyancy and external pressure

www.researchgate.net/publication/376835058_Revisiting_Archimedes'_principle_Buoyancy_and_external_pressure 

The many faces of the exponential function

www.researchgate.net/publication/375121452_The_many_faces_of_the_exponential_function 


Humanities

C. J. Papachristou,

A conceptual approach to racism

https://www.tovima.gr/2014/03/07/international/a-conceptual-approach-to-racism/

Hitler and Stalin on the moral balance of History

https://www.researchgate.net/publication/317017578_Hitler_and_Stalin_on_the_moral_balance_of_History