Department Publications

2020s

2021

116. Ion-laser-like interaction in optomechanical systems with Kerr nonlinearities

     I. Ramos-Prieto, R. Román-Ancheyta, J. Récamier, M. Berrondo, and H.M. Moya-Cessa

     Phys. Lett. A 408, 127490 (2021).
     
117. Quantum manipulation through finite fluctuations for a generalized parametric oscillator using a lie algebra representation

     Ty S Beus^†, Jean-Francois S Van Huele, and Manuel Berrondo

     Phys. Scr. 96 (7), 075103 (2021).
     

2020

114. Semiclassical interpretation of Wei–Norman factorization for SU(1, 1) and its related integral transforms

     Julio Guerrero and Manuel Berrondo

     J. Math. Phys. 61, 082107 (2020).
     
115. Lie algebraic approach to quantum driven optomechanics

     Alejandro Paredes-Juárez, Irán Ramos-Prieto, Manuel Berrondo, and José Récamier

     Phys. Scr. 95 (3), (2020).
     

2010s

2019

112. Radial and topological interactions generate dynamic emergence

     Mario Sandoval and Manuel Berrondo

     Physica D 401, 132166 (2019).
     

2018

111. Lie algebraic approach to a nonstationary atom-cavity system

     C. González-Gutiérrez, O. de los Santos-Sánchez, R. Román-Ancheyta, M. Berrondo, and J. Récamier

     J. Opt. Soc. Am. B 35 (8), 1979-1984 (2018).
     

2017

110. Vibrational Quantum Squeezing Induced by Inelastic Collisions

     Manuel Berrondo and Jose Récamier

     Adv. Quantum Chem. 74 (Supplement C), 129-147 (2017).
     
111. Vector fields in a tight laser focus: comparison of models

     Justin Peatross, Manuel Berrondo, Dallas Smith^†, and Michael Ware

     Opt. Express 26 (13), 13990-14007 (2017).
     

2016

108. Defining emergence: Learning from flock behavior

     Manuel Berrondo and Mario Sandoval

     Complexity 21 (S1), 69-78 (2016).
     

2015

107. Parametric oscillator in a Kerr medium: evolution of coherent states

     R. Román-Ancheyta, M. Berrondo, and J. Récamier

     J. Opt. Soc. Am. B 32 (8), 1651-1655 (2015).
     

2014

106. Automated aufbau of antibody structures from given sequences using macromoltek's SmrtMolAntibody

     Monica Berrondo, Susana Kaufmann, and Manuel Berrondo

     Proteins: Struct., Funct., Bioinf. 82 (8), 1636-1645 (2014).
     

2013

105. Collinear inelastic collisions of an atom and a diatomic molecule using operator methods

     T. Wendler^†, J. Récamier, and M. Berrondo

     Rev. Mex. Fis. 59 (4), 296-301 (2013).
     

2012

104. Unifying the inertia and Riemann curvature tensors through geometric algebra

     M. Berrondo, J. Greenwald^‡, and C. Verhaaren^†

     Am. J. Phys. 80 (10), 905-912 (2012).
     

2011

103. Kondo-Like Resonance in ZnO:Eu

     A. Blanca-Romero, M. Berrondo, and J. F. Rivas-Silva

     Int. J. Quantum Chem. 111 (14), 3831-3840 (2011).
     
104. Dipole induced transitions in an anharmonic oscillator: A dynamical mean field model

     M. Berrondo and J. Recamier

     Chem. Phys. Lett. 503 (1-3), 180-184 (2011).
     
105. Stern-Gerlach dynamics with quantum propagators

     Bailey C. Hsu^†, Manuel Berrondo, and Jean-François S. Van Huele

     Phys. Rev. A 83 (1), 012109 (2011).
     

2000s

2009

100. An Analytic Iterative Approach to Solving the Time-Independent Schrodinger Equation

     Chad Junkermeier^†, Mark Transtrum^‡, and Manuel Berrondo

     Int. J. Quantum Chem. 109 (5), 982-998 (2009).
     

2008

99. The Role of Consensus and Frustration in the Emergence of Flocking Behavior

    M. Berrondo and W. Krueger^‡

    J. Utah Acad. Sci. 85, 219-234 (2008).
    

2003

98. DFT study of 1-D Li6Gd(BO3)(3)

    J. F. Rivas-Silva, A. Flores-Riveros, and M. Berrondo

    Int. J. Quantum Chem. 94 (2), 105-112 (2003).
    

2002

97. S matrix poles and the second virial coefficient

    A. Amaya-Tapia, S. Y. Larsen, J. Baxter, M. Lassaut, and M. Berrondo

    Mol. Phys. 100 (16), 2605-2615 (2002).
    
98. Learning differential calculus without limits

    M. Berrondo

    Adv. Quantum Chem. 41, 107-120 (2002).
    

2000

95. Theoretical explanation of the quenching of luminescence in cerium-doped ytterbium oxyorthosilicate

    J. F. Rivas-Silva, S. Durand-Niconoff, T. M. Schmidt, and M. Berrondo

    Int. J. Quantum Chem. 79 (3), 198-203 (2000).
    
96. Electronic calculations on fluorides and oxides of Zr, Hf and Th

    J. F. Rivas-Silva, J. S. Durand-Niconoff, and M. Berrondo

    Comput. Mater. Sci. 18 (2), 193-198 (2000).
    
97. Ab initio calculations for absorption and emission energies of alkali halide crystals eloped with thallium

    J. F. Rivas-Silva, L. Rodriguez-Merino, M. Berrondo, and A. Flores-Riveros

    Int. J. Quantum Chem. 77 (4), 785-790 (2000).
    

1990s

1999

92. A finite theory for interacting electrons, positrons, and photons

    J. F. S. Van Huele and M Berrondo

    International Workshop on Lorentz Group, CPT and Neutrinos, pp. 299-304 (Zacatecas, Mexico, June 1999)
    

1998

91. Calculation of the band gap energy of ionic crystals

    A. Aguado, J. M. Lopez, T. A. Alonso, A. Ayuela, J. F. Rivas-Silva, and M. Berrondo

    Rev. Mex. Fis. 44 (6), 550-558 (1998).
    
92. Ab initio study of absorption and emission properties of BGO and BSO

    J. F. Rivas-Silva and M. Berrondo

    J. Phys. Chem. Solids 59 (9), 1627-1631 (1998).
    
93. Rotational predissociation resonances in anharmonic potentials

    J. Recamier and M. Berrondo

    Rev. Mex. Fis. 44 (4), 353-357 (1998).
    
94. Atom-in-the-lattice description of Ce3+ impurity centers in alkaline-earth fluorides

    J. F. Rivas-Silva, A. Flores-Riveros, A. Ayuela, and M. Berrondo

    Comput. Mater. Sci. 11 (3), 150-156 (1998).
    

1997

87. Resonances and antibound states in a Morse potential

    M. Berrondo and J. Recamier

    Int. J. Quantum Chem. 62 (3), 239-244 (1997).
    

1996

86. Emission lifetime calculation of thallium-doped alkali halides

    J. F. RivasSilva and M. Berrondo

    J. Phys. Chem. Solids 57 (11), 1705-1707 (1996).
    
87. Cluster models of ionic crystals: Band gaps

    M. Berrondo and J. F. Rivas-Silva

    Int. J. Quantum Chem. 57 (6), 1115-1119 (1996).
    

1995

84. Stokes shifts in TI-doped alkali-halides

    M. Berrondo and J. F. Rivas-Silva

    Int. J. Quantum Chem. 56 (S29), 253-256 (1995).
    
85. Cluster Simulations of Emission Properties of CsI:Tl and NaI:T1 Scintillators

    M. Berrondo, J. F. Rivas, and J. B. Czirr

    International Conference on Inorganic Scintillators and Their Applications, (August 1995, Delft, The Netherlands), Pieter Dorenbos, Carel W. E. van EijkInorganic Eds., pp. 144-147 (1995)
    
86. Dense Lead and Bismuth Scintillators

    M. J. Weber, A.C. West, C. Dujardin, B. Rupp, M. Berrondo, and J. F. Rivas

    International Conference on Inorganic Scintillators and Their Applications, (Aug. 28 - Sep. 1, Delft, the Netherlands, ed. by P. Dorenbos and C. W. E. van Eijk, p. 234 (1995)
    
87. Inorganic Hydrogenous Scintillators for Neutron Detection

    J. B. Czirr and M. Berrondo

    International Conference on Inorganic Scintillators and Their Applications, (Aug. 28 - Sep. 1, Delft, the Netherlands, ed. by P. Dorenbos and C. W. E. van Eijk, pp. 462-464 (1995)
    

1994

80. Cluster Models of Doped Ionic Crystal Scintillators. Quantum Calculations

    M. Berrondo, J. F. Rivas-Silva, and J. B. Czirr

    1994 Materials Research Society Spring Meeting - Symposium P – Scintillator and Phosphor Materials, (1994, Pittsburgh, PA). MRS Proc. 348, 373 (1994).
    
81. Cerium-Activated Lanthanum Beryllate as a Gamma Detector Material

    J. B. Czirr^‡ and M. Berrondo

    1994 Materials Research Society Spring Meeting - Symposium P – Scintillator and Phosphor Materials, (1994, Pittsburgh, PA). MRS Proc., 137 (1994).
    

1993

78. The pole expansion in normalized QED

    M. Berrondo and J. F. Van Huele

    Found. Phys. 23 (5), 711-719 (1993).

1992

77. Statistical Mechanics and Quantum Chemistry

    M. Berrondo

    in Computational Chemistry: Structure, Interactions and Reactivity, Part B, ed. by S. Fraga, Chap. 11, pp. 268-282 (Elsevier, Amsterdam,1992).
    

1991

76. Vibration-translation energy transfer in a collision between an atom and a Morse oscillator

    José Récameir and Manuel Berrondo

    Mol. Phys. 73 (4), 831-844 (1991).
77. Computer Simulation of D Atoms in a Pd Lattice

    M. Berrondo

    Anomalous Nuclear Effects in Deuterium/Solid Systems, (October 1990, Provo, UT). ed. by S. E. Jones, F. Scaramuzzi, and D. H. Worledge. AIP Conf. Proc. 228, 653-659 (1991).
    
78. Mecánica Estadística y Química Cuántica

    M. Berrondo

    in Nuevas Tendenecias en Quimica Teorica, Vol. 3, Chap. 1, ed. by S. Fraga (Consejo Superior de Investigaciones Cientificas, Madrid, Spain, 1991)
    
79. Construction of Coupled Equations for Normalized Electron and Photon Propagators

    J. F. Van Huele and M .Berrondo

    Workshop From Fundamental Fields to Nuclear Phenomena, (September 1990, Boulder, CO), ed. by J. A. McNeil and C. E. Price, p. 277 (World Scientific Publications, Singapore, 1991).
    

1990

72. Normalized schwinger-dyson equations in quantum electrodynamics

    M. Berrondo and J. F. Van Huele

    Found. Phys. Lett. 3 (5), 491-495 (1990).
73. Semi-empirical Approach to Extended Valence Bond Theory

    M. Berrondo and M. C. Zerner

    in Valence Bond Theory and Chemical Structure ed. by D. J. Klein & N. Trinajstic (Elsevier, Amsterdam, 1990)
    
74. Finite Formulation of Schwinger-Dyson Equations

    J. F. Van Huele and M. Berrondo

    in Proceedings of the NATO Advanced Institute on Quantum Electrodynamics and Quantum Optics ed. by A. O. Barut (Plenum Press, New York, 1990)
    

1980s

1989

69. Letter to the editor: Multistreak Expansions of Molecular Electrostatic Potentials

    M. Berrondo and E. G. Larson

    Int. J. Quantum Chem. 36 (S16), 343-344 (1989).
    
70. The effect of penetration on the multipole and multistreak expansions of molecular electrostatic potentials

    M. Berrondo, S. W. Eggleston^†, and E. G. Larson

    Int. J. Quantum Chem. 36 (6), 749-764 (1989).
    
71. Corrections to scaling for diffusion in disordered media

    O. F. de Alcantara Bonfim and M. Berrondo

    J. Phys. A 22 (21), 4673-4679 (1989).
    
72. Discontinuous magnetisation in mean-field theory

    M. Berrondo and S. Y. Larsen

    Eur. J. Phys. 10 (3), 205 (1989).
    
73. Anharmonic effects in the matrix-elements of an exponential potential

    J. Récamier and M. Berrondo

    Chem. Phys. Lett. 158 (1-2), 116-121 (1989).
    
74. Generalized statistical approach to the study of interatomic interactions

    R. Santamaría, M. Berrondo, O. Novaro, and E. S. Kryachko

    Int. J. Quantum Chem. 35 (2), 267-275 (1989).
75. VT energy transfer in molecular collisions: An algebraic approach

    José Récamier and Manuel Berrondo

    Int. J. Quantum Chem. 36 (S23), 27-29 (1989).
    

1988

62. Two-body density of states of hard spheres at high energies

    M. Berrondo and S. Y. Larsen

    Mol. Phys. 65 (2), 345-352 (1988).
    

1987

61. Matrix-elements for the morse potential using ladder operators

    M. Berrondo, A. Palma, and J. L. López-Bonilla

    Int. J. Quantum Chem. 31 (2), 243-249 (1987).

1986

60. Minimal theory of quantum electrodynamics

    M. Berrondo and R. Jáuregui

    Phys. Rev. D 33 (2), 455-463 (1986).
    
61. Vhqrii - an accurate, modular and fast diagonalization routine for vector processors

    Manuel Berrondo, Annik Vivier Bunge, and Carlos F. Bunge

    Comput. Chem. 10 (4), 269-279 (1986).
    
62. Dvdson - a subroutine to evaluate selected sets of eigenvalues and eigenvectors of large symmetrical-matrices

    Gerardo Cisneros, Manuel Berrondo, and Carlos F. Bunge

    Comput. Chem. 10 (4), 281-291 (1986).
    

1985

57. Minimal quantum electrodynamics

    R. Jáuregui and M. Berrondo

    AIP Conf. Proc. (136), 186-199 (1985).
    
58. Simple atomic models

    Manuel Berrondo

    J. Mol. Struct. 21 (FEB), 327-336 (1985).
    

1984

55. On the spectral representation of the electron propagator

    M. Berrondo and R. Jáuregui

    Lett. Nuovo Cimento 40 (11), 345-347 (1984).
    
56. Algebraic approach to one- and two-center harmonic oscillator integrals

    J. Morales, A. Palma, and M. Berrondo

    Int. J. Quantum Chem. 18, 57-60 (1984).
    
57. Mass and Charge Renormalization in Quantum Electrodynamics

    M. Berrondo

    in Quantum Electrodynamics and Quantum Optics, A.0. Barut, Ed. (Plenum, New York, 1984), pp. 31-37.
    
58. On the Photon Propagator

    M. Berrondo and R. Jáuregui

    Kinam 6, 45 (1984).
    

1983

51. On Mass and Charge Renormalization in QED

    M. Berrondo and R. Jáuregui

    Kinam 5, 163 (1983).
    
52. On the Semiclassical Approximation for the Relativistic Hydrogen Atom

    M. Berrondo and J. Récamier

    Kinam 5, 329-335 (1983).
    
53. Atomos y Moleculas

    M. Berrondo

    Chap. 3 in La Física Contemporánea (UNAM, Mexico, 1983)

1982

48. WKB for coupled equations and virial coefficients

    Sigurd Yves Larsen, Alejandro Palma, and Manuel Berrondo

    J. Chem. Phys. 77 (11), 5816-5821 (1982).
    
49. Resonances in repulsive singular potentials as an eigenvalue problem

    M Berrondo and G Garcia-Calderon

    Eur. J. Phys. 3 (1), 34-38 (1982).
    

1981

46. The coulomb hole and the correlation-energy for the electron-gas at intermediate densities

    M. Berrondo and O. Goscinski

    Chem. Phys. Lett. 81 (1), 75-78 (1981).
    
47. Atomic calculations with an effective one-body potential

    J. P. Daudey and M. Berrondo

    Int. J. Quantum Chem. 19 (5), 907-927 (1981).
48. Atomic Exchange Energy as a Density Functional

    M. Berrondo

    in Recent Progress in Many-Body Theories, Lecture Notes in Physics Lecture Notes in Phys. 142, 350-354 (1981).
    
49. Does the Neutrino Carry Magnetic Charge?

    M. Berrondo

    Kinam 3, 157-160 (1981).
    

1980

42. Group Theory of the Morse Oscillator

    Manuel Berrondo and Alejandro Palma

    (Proc. Group Theoretical Methods in Physics, IX International Colloquium, Cocoyoc, Mexico, June 1980) Lecture Notes in Phys. 135, 3-7 (1980).
    
43. Approximate exchange energy as a functional of the electron-density - light-atoms

    M. Berrondo and A. Flores-Riveros

    J. Chem. Phys. 72 (11), 6299-6302 (1980).
    
44. Narrow resonances as an eigenvalue problem and applications to high-energy magnetic resonances - an exactly soluble model

    A. O. Barut, M. Berrondo, and G. García-Calderón

    J. Math. Phys. 21 (7), 1851-1855 (1980).
    
45. Algebraic approach to the morse oscillator

    M. Berrondo and A. Palma

    J. Phys. A 13 (3), 773-780 (1980).
    

1970s

1979

38. Local exchange potential for atomic systems

    M. Berrondo and O. Goscinski

    Chem. Phys. Lett. 62 (1), 31-33 (1979).
    
39. Effective one-body hamiltonian for electrons in atoms

    M. Berrondo, J. P. Daudey, and O. Goscinski

    Chem. Phys. Lett. 62 (1), 34-37 (1979).
    
40. Use of pseudopotentials for the analysis of the non-additivity of short-range inter-molecular interactions

    J. P. Daudey, O. Novaro, and M. Berrondo

    Chem. Phys. Lett. 62 (1), 26-36 (1979).
    
41. Convergence of multibody expansions for alkaline-earth metals - contrast between magnesium and beryllium clusters

    J. P. Daudey, O. Novaro, W. Kolos, and M. Berrondo

    J. Chem. Phys. 71 (11), 4297-4303 (1979).
    
42. Note on the asymptotic energy behavior of the green-function for a cutoffs potential

    G. García-Calderón and M. Berrondo

    Lett. Nuovo Cimento 26 (17), 562-566 (1979).
    
43. Standing Green Function and the Q-Matrix

    G. García Calderón and M. Berrondo

    Kinam 1, 149 (1979).
    
44. Resonances and the Q-Matrix. The Square Well and the Delta Shell Potentials

    M. Berrondo and G. García Calderón

    Kinam 1, 295 (1979).
    

1978

31. Simplified model for predissociation of diatomic-molecules

    M. Berrondo and A. Flores-Riveros

    Int. J. Quantum Chem. 13 (3), 391-410 (1978).
32. Note on miller method to compute partition-functions for case of hard spheres

    M. Berrondo and S. Y. Larsen

    J. Chem. Phys. 68 (11), 5302-5303 (1978).
    
33. Quasibound States Contributions to the Second Virial Coefficient

    M. Berrondo

    15th IUPAP International Conference on Thermodynamics and Statistical Mechanics (August 1977, Haifa, Israel).  Ann. Israel Phys. Soc. 2 (1), 1067-1070 (1978).
    
34. La Física Molecular

    M. Berrondo and E. Blastein

    in Perspectivas en la Biologilia y en la Fisica, L. Estrada & J. Flores, Eds. (Naturaleza, Mexico, 1978)

1977

27. Information theoretic derivation of fokker-planck equation

    R. D. Levine and M. Berrondo

    Chem. Phys. Lett. 47 (3), 399-403 (1977).
    
28. 2nd virial-coefficient revisited

    M. Berrondo

    Int. J. Quantum Chem. 12 (2), 315-319 (1977).
29. Eigenfunction expansion involving resonant states

    M. Berrondo and G. García-Calderón

    Lett. Nuovo Cimento 20 (1), 34-38 (1977).
    

1976

24. Affinity in local chemical-equilibrium

    M. Berrondo, L. S. García-Colín, and J. Robles-Domínguez

    J. Chem. Phys. 65 (5), 1927-1931 (1976).
    
25. On Resonant Potential Scattering

    M. Berrondo and G. García Calderón

    in Quantum Science, J. L. Calais, O. Goscinski, and Y. Ohrn, Eds. (Plenum, New York, 1976), pp. 295-304.
    

1975

22. Energy as a functional of density matrix

    M. Berrondo and O. Goscinski

    Int. J. Quantum Chem., 67-73 (1975).
23. Potential surface crossings for diatomic-molecules

    M. Berrondo and D. H. Rojas

    Int. J. Quantum Chem. 9 (1), 119-131 (1975).

1974

20. Bertrand theorem one hundred years after formulation

    M. Berrondo, J. Flores, and O. Novaro

    C. R. Acad. Sci. 278 (11), 455-457 (1974).
21. The Many-Body Approach to Chemical Kinetics

    L.S. García Colín, M. Berrondo, and O. Novaro

    Rev. Mex. Fis. 22 (4), 351 (1974).
    
22. La Magia de las Orbitas Elípticas

    M. Berrondo, J. Flores, and O. Novaro

    Rev. Mex. Fis. 23, E13 (1974).
    

1973

17. Geometrical realization of aufbau scheme

    M Berrondo and O. A. Novaro

    J. Phys. B 6 (5), 761-769 (1973).
    
18. Symmetry-adapted perturbation expansions using unitary transformations

    M. Berrondo

    Mol. Phys. 26 (2), 329-342 (1973).
19. Path integral method as derived from a stochastic variational principle

    M. Berrondo

    Nouvo Cimento Soc. Ital. Fis. B 18 (1), 95-109 (1973).
    
20. The Pseudo-Atom: A Distorted Image of Atomic Systems

    O. Novaro, J. Pineda, and M. Berrondo

    Rev. Mex. Fis. 22 (1), 115 (1973).
    
21. On Projection Operators and Symmetry in Quantum Electronic Systems

    M. Berrondo

    Acta Univ. Upsaliensis 261, 1 (1973).
22. Entropia y Evolución

    M. Berrondo and O. Novaro

    Naturaleza 4, 230 (1973).

1972

11. Approximate symmetry of the periodic table

    O. Novaro and M. Berrondo

    J. Phys. B 5 (6), 1104 (1972).
    
12. Chemical Relaxation as a Transport Process

    M. Berrondo

    Proc. Roy. Soc. A 328 (1574), 353-369 (1972).
    
13. Description of One-Electron Theories of Solids in terms of Projection Operators

    M. Berrondo

    Rev. Mex. Fis. 21, 219-241 (1972).
    

1970

8. Excitation Transfer and Decay in Molecular Dimers Optically Excited

   M. Berrondo and M. Garcia Sucre

   Phys. Rev. A 2 (4), 1181-1189 (1970).
   
9. Model Hamiltonians in band theory

   Manuel Berrondo

   J. Phys. C 3 (5), 951 (1970).
   
10. New Approach to Nonradiative Intramolecular Transitions

    Manuel Berrondo and Karl Weiss

    J. Chem. Phys. 52 (2), 807 (1970).
    
11. Degeneracy of the Dirac Equation with Electric and Magnetic Coulomb Potentials

    Manuel Berrondo and Harold V. McIntosh

    J. Math. Phys. 11, 125 (1970).
    

1960s

1969

4. The projection operator for a space spanned by a linearly dependent set

   Manuel Berrondo and Per-Olov Löwdin

   Int. J. Quantum Chem. 3 (6), 767-780 (1969).
5. Local Exchange Approximation and the Virial Theorem

   M. Berrondo and O. Goscinski

   Phys. Rev. 184, 10-17 (1969).
   

1967

2. Exchange Effects in Odd-Odd Nuclei in the 2s-1d Shell

   M. Berrondo and J. Pineda

   Rev. Mex. Fis. 16 (1), 17-29 (1967).
   

1966

1. Group Theory and Nuclear Structure in the 2s-1d Shell

   M. Moshinsky, M. Berrondo, and J. Pineda

   Second Symposium on the Structure of Low-Medium Mass Nuclei

^‡Undergraduate Student Author

^†Graduate Student Author