Bogdan Mielnik


CINVESTAV

Research Topics Publications Students Biography
 
 

Publications

  • = Article in Journal


  • 1. On Damping Problem in Quantum Theory
  • B. Mielnik
    Bull. Acad. Polon. Sci. vol. IX. No. 5, 389 (1961).
    Citations

  • 2. A Study of Geodesic Motion in the Field of Schwarzchild's Solution
  • B. Mielnik, J. Plebanski
    Acta Phys. Polon. 21, 239 (1962).
    Citations (7)

    3. Analytic functions of the Displacement Operator

    B. Mielnik
    Report CINVESTAV, Mexico (1964).
    Citations

    4. Hermitean Matrices in Spaces with Indefinite Scalar Product

    B. Mielnik
    Report CINVESTAV, Mexico (1965).
    Citations

  • 5. Quantum Logic and Evolution
  • B. Mielnik
    Ann. Inst. H. Poincare IX, No. 1, 1 (1968).
    Citations (1)

  • 6. Geometry of Quantum States
  • B. Mielnik
    Commun. Math. Phys. 9, 55 (1968).
    Citations (99)

  • 7. Explicit Solution of the Continuous Baker-Campbell-Haussdorff Problem and a new Expansion of the Phase Operator
  • I.Bialynicki-Birula, B.Mielnik, J.Plebanski
    Ann. Phys. 51, 187 (1969).
    Citations (70)

  • 8. Theory of Filters
  • B. Mielnik
    Commun. Math. Phys. 15, 1 (1969).
    Citations (76)

  • 9. Struktury Mechaniki Kwantowej
  • B. Mielnik
    Post.Pizyki, vol.21, No.83, 325 (1970).
    Citations

  • 10. Combinatorial Approach to Baker-Campbell-Haussdorff formula
  • B. Mielnik, J. Plebanski
    Ann. Inst. H. Poincare 12, 215 (1970).
    Citations (38)

  • 11. Generalized Quantum Mechanics
  • B. Mielnik
    Commun. Math. Phys. 31, 221 (1974).
    Citations (135)

    12. Quantum Logic: is it necessarily Orthocomplemented?

    B. Mielnik
    Quantum Mechanics, Determinism, Causality and Particles
    ed. Flato et.al., Reidel, Dordrecht, Holland (1976), pp. 117-135.
    Citations (25)

    13. Convex Sets: Non-linear Quantization

    B. Mielnik
    Proc. of Int. Symp. Math. Phys. Mexico, 1976.
    Citations

  • 14. Global Mobility of Schrödinger's Particle
  • Rep. B. Mielnik
    Math. Phys. 12, 331 (1977).
    Citations (15)

    15. Generalized Quantum Mechanics

    B. Mielnik
    reprinted in "Physical Theory as Logico-Operational Structure"
    Hooker, Reidel, Dordrecht, (1978) pp. 115-151 from Comm. Math. Phys. 37, 221 (1974).
    by permission of the Author and the Publishers.
    Citations

    16. Mobility and Geometry

    B. Mielnik
    Proc. of SILARG III, Mexico, pp. 231-239 (1979).
    Citations

  • 17. Mobility of Non-linear Systems
  • B. Mielnik
    J. Math. Phys. 21, 44 (1980).
    Citations (18)

  • 18. Nelson-Brown Motion: some question marks
  • B. Mielnik, G. Tengstrand
    Int. J. Th. Phys. 19, 239 (1980).
    Citations (12)

    19. Motion and Form

    B. Mielnik
    "Current issues in Quantum Logic"
    Plenum, New York (1981), pp. 465-477.
    Citations

    20. Quantum Theory without Axioms

    B. Mielnik
    II Oxford Quant Gravity,
    ed R.Penrose, Oxford University Press (1981).
    Citations (1)

  • 21. Factorization Method and New Potentials with the Oscillator Spectrum
  • B. Mielnik
    J. Math. Phys. 25, 3387 (1984).
    Citations (208)

  • 22. Phenomenon of Mobility in Non-linear Theories
  • B. Mielnik
    Commun. Math. Phys. 101, 323 (1985).
    Citations (21)

    23. Combinatorial Dynamics

    B. Mielnik
    Proc. of 14 ICGTMP,
    ed Y.M. Cho, World Sci., Seoul, Korea, 1985, pp. 265-267.
    Citations (1)

  • 24. Space Echo
  • B. Mielnik
    Lett. Math. Phys. 12, 49 (1986).
    Citations

  • 25. Evolution Loops
  • B. Mielnik
    J. Math. Phys. 27, 2290 (1986).
    Citations (18)

  • 26. Electron Trapped in a Rotating Magnetic Field
  • B. Mielnik, D.J. Fernandez
    J. Math. Phys. 30, 527 (1989).
    Citations (2)

  • 27. Is there an Instability Transition in Standing Wave Traps?
  • D.J. Fernandez, B. Mielnik
    Lett. Math. Phys. 17, 87 (1989).
    Citations

  • 28. Nodal Resonance in a Strong Standing Wave
  • D.J. Fernandez, B. Mielnik
    Phys. Rev. A41, 5788 (1990).
    Citations (2)

  • 29. The Paradox of Two Bottles in Quantum Mechanics
  • B. Mielnik
    (invited article) Found. Phys. 20, 745 (1990).
    Citations (2)

    30. Is the Reduction of the Wave Packet Indeed Neccessary in Quantum Mechanics

    B. Mielnik
    "Problems in Quantum Physics: Gdansk 89", World Sci., Singapore (1990).
    Citations (1)

    31. Schrödinger's Cat and the First Impossibility

    B. Mielnik
    Math. Series, Proc. IWAA,
    ed. C.V.Stanojevic, Novi Sad (1991), pp. 345-363.
    Citations

    32. Manipulation of the Schrodinger's particle by time dependent external fields

    B. Mielnik
    "Rigorous Results in Quantum Dynamics",
    ed. P. Exner, World Scientific, Singapore (1991), pp. 230-240.
    Citations

  • 33. On the Alexandrov problem of conservative distances
  • B. Mielnik, T.M. Rassias
    Proc. Am. Math. Soc. 116, 1115 (1992).
    Citations (16)

    34. Hunting George Gamow gazelle

    B. Mielnik Particles and Fields
    eds. H.D. Doebner et al, World Sci., Singapore (1994), pp. 245-264.
    Citations

    35. Manipulation of Quantum Evolution

    B. Mielnik, D.J. Fernandez
    Proc. III Int. Workshop on Squeezed St. and Uncertainty Relations
    ed. D.Han et al. Nasa Conf.Publ.3270, (1994) pp. 173-178.
    Citations

  • 36. Controlling quantum motion
  • D.J. Fernandez, B. Mielnik
    J. Math. Phys. 35, 2083 (1994).
    Citations (7)

  • 37. The Screen Problem
  • B. Mielnik
    (invited art), Found.Phys.24, 1113 (1994).
    Citations (23)

    38. Classical Trajectories and Quantum Spectra

    B. Mielnik, M.A. Reyes
    IV ICSSUR, ed. NASA Conf.Publ. 3322, (1996), pp. 123-131.
    Citations (5)

    39. Exponential Formulae and Effective Manipulation

    B. Mielnik, D.J. Fernandez
    IV ICSSUR, ed. NASA Conf.Publ. 3322, (1996).
    Citations

  • 40. The classical Schrödinger's equation
  • B. Mielnik, M.A. Reyes
    J. Phys. A 29, 6009 (1996).
    Citations (5)

    41. State echo and dynamical manipulation

    B. Mielnik Field Theory, Integrable Systems and Symmetries
    ed. F. Khanna et al., Les Publicacions CRM, Montreal (1997).
    Citations

  • 42. Magnetic Control of Squeezing Effects
  • F. Delgado, B. Mielnik
    J.Phys.A 31, 309 (1998).
    Citations (4)

  • 43. Squeezed States and Helmholtz spectra
  • F. Delgado, B. Mielnik, M.A Reyes
    Phys.Lett.A 237, 359 (1998).
    Citations (4)

  • 44. A simple generation of exactly solvable anharmonic oscillators
  • D.J. Fernandez, V. Hussin, B. Mielnik
    Phys. Lett. A. 244, 1 (1998).
    Citations (42)

  • 45. Are there Floquet quanta?
  • F. Delgado, B. Mielnik
    Phys. Lett. A. 249, 369 (1998).
    Citations

    46. Floquet Quanta: an unfinished story

    B. Mielnik, F. Delgado
    "Symmetries in Quantum Mechanics and Quantum Optics",
    eds. A. Ballesteros et al., Univ. Burgos, Spain, (1999), pp.195-206.
    Citations

    47. Is the nonlinear quantum mechanics possible?

    B. Mielnik
    "Quantum Theory and Symmetries", (Proc. QTS, Goslar 1999),
    ed H-D.Doebner et al, World Sci., Singapore (2000), pp.124-133.
    Citations

    48. Are there macroscopic quantum bodies?

    B. Mielnik
    "Conference M.Flato 1999",
    Math.Phys.Studies 22, pp.199-209, Kluwer, Dordrecht (2000).
    Citations

  • 49. Finite difference algorithm for higher order Supersymmetry
  • B. Mielnik, L.M. Nieto O. Rosas-Ortiz
    Phys. Lett. A. 269, 70-78 (2000).
    Citations (32)

    50. Backlund-type superposition and free particle n-susy partners

    O. Rosas-Ortiz, B. Mielnik, L.M. Nieto
    Proc. VI-th ICSSUR, NASA Conf.
    Publ. 2000-209899, Goddard Space Flight Center (2000).
    Citations

    51. Operational techniques for the Floquet Hamiltonians

    B. Mielnik, D.J. Fernandez
    Proc. CDC 39, Sydney, December 2000.
    Citations

    52. Some connections between different supersymmetric approaches in Quantum Mechanics

    L.M. Nieto, B. Mielnik, O. Rosas-Ortiz
    "Proc. of VIII Reunion Anual de Otono de Geom. y Fis.",
    ed. Real Soc. Mat. Espanola, Madrid, Spain (2000).
    Citations

    53. Comments on: 'Weinberg's Nonlinear Quantum Mechanics and Einstein-Podolsky-Rosen Paradox' by Joseph Polchinski

    B. Mielnik
    Arxiv: quant-ph/0012041 (2000).
    Citations (6)

  • 54. Nonlinear quantum mechanics: a conflict with the Ptolomean structure?
  • B. Mielnik
    Phys. Lett. A 289, 1 (2001).
    Citations (15)

  • 55. The Phenomenon of Darboux Displacement
  • D.J. Fernandez, B. Mielnik, O. Rosas-Ortiz, B.F. Samsonov
    Phys. Lett. A 294, 168 (2002).
    Citations (12)

  • 56. Comment on 'Charged Particles in a Rotating Magnetic Field
  • D.J. Fernandez B. Mielnik
    Phys. Rev. A 65 056101-1 (2002).
    Citations

  • 57. Nonlocal SUSY deformations of periodic potentials
  • D.J. Fernandez, B. Mielnik, O. Rosas-Ortiz, B.F. Samsonov
    J. Phys. A 35 (2002), 4279.
    Citations (16)

  • 58. The challenge of nonhermitian structures in physics
  • A. Ramirez, B. Mielnik
    Rev. Mex. Fis. S. 2, 49, 130 (2003).
    Citations (33)

  • 59. The Jungle Book Updated
  • B. Mielnik
    J. Nonlin.Math.Phys., S 11, 228-236 (2004).

  • 60. Factorization: little or great algorithm?
  • B. Mielnik, O. Rosas-Ortiz
    J. Phys. A 37, 10007-10035 (2004).
    Citations (78)

  • 61. Time operator: the challenge persists
  • B. Mielnik, G. Torres-Vega
    Concepts of Physics 2, 81-97 (2005).
    Citations

  • 62. The parity phenomenon for Floquet spectra
  • S.G. Cruz y Cruz, B. Mielnik
    Phys. Lett A 352, 36-40 (2005).
    Citations (3)

  • 63. Ion traps: some semiclassical observations
  • B. Mielnik, A. Ramirez
    Phys. Scr. 82 055002 (2010).
    Citations (2)

  • 64. Magnetic operations: a little fuzzy mechanics?
  • B. Mielnik, A. Ramirez
    Phys. Scr. 84 045008 (2011).
    Citations

 
 

Other Publications

Znane i Nieznane Iskry

S. Bazanski, B. Mielnik, J. Plebanski, J. Ryten
Warszawa (1963).


Mecánica Cuántica: Hechos y símbolos

B. Mielnik
Manuscrit, Library Mat-Fis, Cinvestav, Q.C. 174 .12. M545 (1991).


Ficción científica y relatividad general

B. Mielnik
Avance y Perspectiva 35, 34-40 (1994).
reprinted with agreement in "V Colloquio del Departamento de Matemáticas",
ed. M.Porter,Patzcuaro (1987), pp. 69-94;
reprinted with agreement in ”Temas selectos de Astrofisica, Cosmologia y Particulas Elementales”
ed. J. Clapp, ETC SA (1994), pp. 87-102.



Evaluación Académica: ¿el ocaso de los criterios numéricos?

B. Mielnik
Avance y Perspectiva 17, Num. 2, 93-100 (1998).


The Jungle Book Updated

B. Mielnik
J. Nonlin. Math. Phys. S. 11, 228-236 (2004).


Evaluación Académica: empate de dos imposibilidades

B. Mielnik
Avance y Perspectiva 24, Num. 1, 23-29 (2005).


Arquimedes, Conacyt y el Tirano de Siracusa

B. Mielnik
Nexos 376 (Abril 2009) Ciencia, 130-133.


El Siglo XXI: ¿Ciencias útiles o inútiles?

B. Mielnik
Avance y Perspectiva Vol. 3 No.3 Nueva Época junio-diciembre 2011.

 
 

Edited Books

Topics in Mathematical Physics, General Relativity and Cosmology, in Honor of Jerzy Plebanski

Hugo García-Compeán, Bogdan Mielnik, Merced Montesinos, Maciej Przanowski
Cinvestav, World Cientific (2002).
ISBN 981-270-047-1. 

Quantum Mechanical Laws

Bogdan Mielnik, Oscar Rosas-Ortiz
A chapter of Fundamentals of Physics (Ed. José Luis Morán López)
EOLSS-UNESCO (2007/ Rev.2009)
ISBN 978-1-84826-952-1
View Contents
 
 

List of Citations

List of quotes correspond to some publications...

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