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Perfil investigador
Esp
Dr. Manuel Fernández Guasti

Professor
Departament of Physics

Division of Basic Sciences and Engineering


Level 2
Member of the National System of Researchers
(SNII)

Physics-Mathematics and Earth Sciences



Iztapalapa Campus

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Sustainable Development Goals

• 7 Affordable and Clean Energy


Research interests

• Invariants
• Energy and momentum conservation
• Wave phenomena
• Coherent and ultrafast optics
• Scator algebra

Profile

Professor Manuel Fernández-Guasti is a physicist graduated from the first generation of the Universidad Autónoma Metropolitana (UAM), Iztapalapa Campus. He completed his doctorate in nonlinear optical phenomena at the Clarendon Laboratory; he was a member of the Christ Church College, Oxford, England. Upon his return to Mexico, he founded the Quantum Optics Laboratory in his alma mater where he currently works. He has been on sabbatical leave at Havana, Cuba (1993), Tonantzintla, Puebla (2002), Paris, France (2004), and UNAM, Mexico (2017).

He has promoted a balanced theoretical and experimental comprehensive training so that these two categories are diluted in a continuum. His interest has focused on some fundamental paradigms of physics: invariants and their relation to energy, ultra-brief optical phenomena, algebraic systems appropriate to describe time-space.

He has collaborated in the design and construction of lasers such as molecular Nitrogen, organic dyes, and Nd: YAG as well as holographic tables. He proposed the optical design of partially periodic instruments, work that led to a patent. He has promoted a close duality between fundamental and applied science. He is deeply interested and concerned that science serves primarily to contribute to a better world for humanity.



Information provided by the academic staff

Research interests

• Invariants
• Energy and momentum conservation
• Wave phenomena
• Coherent and ultrafast optics
• Scator algebra

Academic Work

On the following pages you can consult the research work:






Some examples of publications

Select the bibliographic reference to consult each publication:


Open Access References UN SDGs
Tapia-Valerdi, M.A., Ramos-Prieto, I., Soto-Eguibar, F. and 2 more (...) (2026).Quantum phase: A different approach. International Journal of Modern Physics B,40(2)
Fernandez-Guasti, M., Fujiwara, T., Pérez-Chavela, E. and 1 more (...) (2026).N-body choreographies on a p-limaçon curve. Journal of Differential Equations,454
OAFernandez-Guasti, M. (2025).Analytic four-body limaçon choreography. Celestial Mechanics and Dynamical Astronomy,137(1)
OAEscobar-Ruiz, A.M., Fernandez-Guasti, M. (2025).On the four-body limaçon choreography: maximal superintegrability and choreographic fragmentation. Celestial Mechanics and Dynamical Astronomy,137(4)
Fernández-Guasti, M., Feliciano-Zenón, J. (2025).Orthogonal HL states and extrema method for the polarization evaluation. Optics Communications,576
OAFernandez-Guasti, M. (2024).Time division interferometer setups. Journal of Optics (United Kingdom),26(10)
OAFeliciano-Zenón, J., Fernández-Guasti, M. (2024).Medicion directa de la polarización de la luz. Revista Mexicana de Fisica,70(3)
Fernández-Guasti, M. (2023).The cusphere. Journal of Mathematics and the Arts,17(3-4) 233-249
OAFernández-Guasti, M. (2023).Vector wave solutions in electrodynamics: the Heaviside-Larmor symmetry and tiered potential invariance. Physica Scripta,98(10)
Fernández-Guasti, M. (2023).Imaginary scators quadratic mapping in 1+2D dynamic space. Communications in Nonlinear Science and Numerical Simulation,125
Fernandez-Guasti, M. (2023).The Components Exponential Function in Scator Hypercomplex Space: Planetary Elliptical Motion and Three-Body Choreographies. Advances in Number Theory and Applied Analysis,195-230
OAFernandez-Guasti, M., García-Guerrero, C. (2022).Time and Space Resolved First Order Optical Interference Between Distinguishable Photon Paths. Frontiers in Physics,9
Fernández Guasti, M. (2022).Quantum uncertainty: ΔxΔp experimental evaluation and direct visualization. Physics Letters, Section A: General, Atomic and Solid State Physics,448
Guasti, M.F. (2022).Energy exchange in the dissipative time-dependent harmonic oscillator: Physical interpretation of the Ermakov invariant. Pramana - Journal of Physics,96(4)
OAFernandez-Guasti, M. (2021).Powers of elliptic scator numbers. Axioms,10(4)
OAFernandez-Guasti, M. (2021).Roots of elliptic scator numbers. Axioms,10(4)
Fernandez-Guasti, M. (2021).Tiered structure and symmetry of the electromagnetic equations. Journal of Modern Optics,68(20) 1134-1146
Fernandez-Guasti, M. (2020).Components exponential scator holomorphic function. Mathematical Methods in the Applied Sciences,43(3) 1017-1034
OARamos-Prieto, I., Urzúa, A.R., Fernández-Guasti, M. and 1 more (...) (2020).Ermakov-Lewis Invariant for Two Coupled Oscillators. Journal of Physics: Conference Series,1540(1)
OAFernandez-Guasti, M. (2020).Energy density and flow distribution in a vibrating string. SN Applied Sciences,2(8)
Fernández-Guasti, M. (2020).Composition of velocities and momentum transformations in a scator-deformed Lorentz metric. European Physical Journal Plus,135(7)

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Courses taught by the professor in recent trimesters

*Courses are conducted in spanish

Num.Trim.Course NameLevel
1
25O
Ecuaciones Diferenciales Parciales y Funciones EspecialesLicenciatura
2
25P
Electricidad y Magnetismo Elemental ILicenciatura
3
25I
Vibraciones y OndasLicenciatura
4
25I
Proyecto de Ingeniería Biomédica IILicenciatura
5
24O
Proyecto de Ingeniería Biomédica ILicenciatura
6
24O
Teoría Electromagnética ILicenciatura
7
24P
Electricidad y Magnetismo Elemental ILicenciatura
8
24I
Electricidad y Magnetismo Elemental ILicenciatura
9
23O
Electricidad y Magnetismo Elemental ILicenciatura
10
23P
Arte y CienciaLicenciatura
11
23P
Introducción a la Investigación IIIPosgrado
12
23I
Vibraciones y OndasLicenciatura
13
23I
Fotónica IPosgrado
14
23I
Introducción a la Investigación IIPosgrado
15
22O
Óptica IPosgrado
16
22O
Introducción a la Investigación IPosgrado
17
22P
Arte y CienciaLicenciatura
18
22I
Vibraciones y OndasLicenciatura
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Universidad Autónoma Metropolitana, 2025.