J.L. Lopez-Bonilla papers (5)


Paper 1: Rotations in three and four dimensions via 2×2 complex matrices and quaternions

by I. Guerrero-Moreno, J. López-Bonilla, L. Rosales-Roldán, 7 pages.
Address: SEPI-ESIME-Zacatenco
Instituto Politécnico Nacional
Edif. Z-4, 3er Piso, Col. Lindavista CP07738 México DF
E-mail: jlopezb_at_ipn.mx

Abstract: We exhibit how the quaternions and their associated 2×2 complex matrices generate  3-rotations and Lorentz transformations.
Key words: Quaternions, 3-rotations, Pauli spin matrices, Lorentz transformations

Paper 2: Lorentz transformations via quaternions and complex 2×2 matrices

byB. E. Carvajal-Gámez, I. J. Guerrero-Moreno, J. López-Bonilla, 4 pages.
Address: SEPI-ESIME-Zacatenco
Instituto Politécnico Nacional
Edif. Z-4, 3er. Piso, Col. Lindavista, CP 07738 México DF
e-mail: jlopezb_at_ipn.mx
Abstract: We show that the matrix method to generate Lorentz transformations permits to obtain the corresponding quaternionic procedure.
Keywords: Lorentz matrix; unitary quaternions; complex 2×2 matrices
Paper 3: Quaternions, Maxwell Equations and Lorentz Transformations

by M. Acevedo M., J. López-Bonilla and M. Sánchez-Meraz,
Apeiron, Vol. 12, No. 4, October 2005, pp. 371-384 (2005).
Address: Sección de Estudios de Posgrado e Investigación
Escuela Superior de Ingenieria Mecánica y Eléctrica
Instituto Politécnico Nacional
Edif. Z-4, 3er Piso, Col. Lindavista, 07738 México DF
E-mails: jlopezb_at_ipn.mx

In this work: a) We show that the invariance of the Maxwell equations under duality rotations brings into scene to the complex vector (c \vec{B} +i\vec{E} ), whose components allow to construct a quaternionic equation for the electromagnetic field in vacuo. b) For any analytic function f of the complex variable z, it is possible to prove that is a Debye potential for itself, which permits to reformulate the corresponding
Cauchy-Riemann relations. Here we show that the Fueter conditions – when z is a quaternion – also accept a similar reformulation and a very compact quaternionic expression. c) We exhibit how the rotations in three and four dimensions can be described through a complex matrix relation or equivalently by a quaternionic formula.

Paper 4: N-machines, free energy and Lanczos potential

by J.H. CALTENCO, J. LOPEZ-BONILLA, R. PENA-RIVERO, 4 pages.

Address: Seccion de Estudios de Posgrado e Investigacion
Escuela Superior de Ingenieria Mecanica y Electrica
Instituto Politecnico Nacional
Edif. Z-4, 3er Piso, Col. Lindavista, CP 07738 Mexico, DF
E-mail: jlopezb_at_ipn.mx

Abstract: We propose that the Lanczos spintensor may give theoretical support to N-machines via the  Tewari’s space vortex theory.

Paper 5. Note: This paper information has been removed on 26 September 2009, following an explicit request by the author Jose Luis Lopez-Bonilla (joseluis.lopezbonilla_at_gmail.com).

Source: Emails from jlopezb_at_ipn.mx (08 August 2008).
Remark: Please contact the author (jlopezb_at_ipn.mx) for preprint copies.

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