Bogdan Mielnik


CINVESTAV

Research Topics Publications Students Biography
 
 

Graduated Students

Doctorates (8)



1. Kszysztof Rozga: :
"CIECIA RZECZYWISTE ZESPOLONEJ CZASOPRZESTRZENI",
IFT UW, Warsaw, Poland (1976).

Publications:
Rep. Math. Phys. 11, 197, (1977)

2. Anatol Odzijewicz: :
"KINEMATYKA KONFOREMNA CZASTKI O MASIE m>0",
IFT UW, Warsaw, Poland (1975).

Publications:
"Conformally invariant simplectic structures (semisimple case)",
Rep.Math.Phys. 12, 407 (1977).

Graduated Ph.D.:



Graduated Master:


3. Stefan Wojciechowski: :
"ZUPELNA CALKOWALNOSC UKLADOW N-CZASTEK ODDZIALUJACYCH NA
PROSTEJ W MECHANICE KLASYCZNEJ I KWANTOWEJ"
IFT, Warsaw, Poland, (1977).

Publications:
"Completely integrable systems of N particles in one dimension",
Acta Phys.Polon. A 53, 479 (1978)

Graduated Ph.D.:


4. Jacek Waniewski: :
"GLOBALNA DYNAMIKA I STRUKTURA WYPUKLA STANOW W TEORIACH KWANTOWYCH I KLASYCZNYCH".
IFT UW, Warsaw, Poland, 20.06.1983.

Publications:
"Time inversion and mobility of many particle systems",
Commun.Math.Phys. 76, 27 (1980).

5. David Fernandez: :
"ELECTRON DE SCHRODINGER EN CAMPOS ELECTROMAGNETICOS OSCILANTES"
Physics Department, CINVESTAV (1988).

Publications:
1) "An electron trapped in a rotating magnetic field"
(with B.Mielnik) J. Math. Phys. 30, 537 (1989).
2) "Is there an instability transition in standing wave traps?"
(with B.Mielnik), Lett. Math. Phys. 17, 87 (1989).
3) "Nodal resonance in a strong standing wave"
(with B.Mielnik) Phys. Rev. A. 41, 5788 (1990).
4) "Semiclassical resonance in rotating magnetic fields",
Acta Phys. Poland B 21, 589 (1990).

Graduated Ph.D.:



Graduated Master:


6. Francisco Delgado::
"CONTROL FINO DE LOS ESTADOS CUANTICOS"
Physics Department, CINVESTAV, (1999).

Publications:
1) "Magnetic Control of Squeezing Effects"
(with B. Mielnik), J.Phys.A 31, 309 (1998)
2) "Squeezed States and Helmholtz spectra",
(with B. Mielnik and M.A. Reyes), Phys.Lett.A 237, 359 (1998).
3) "Are there Floquet Quanta?"
(with B. Mielnik), Phys. Lett. A. 249, 369 (1998).
Currently: Department Mathematical Chief ITESM.

7. Sara G. Cruz y Cruz:
"Esquemas cuanticos de Floquet, espectros y operaciones",
Physics Department, CINVESTAV (2005).

Publications:
S.G. Cruz y Cruz and B. Mielnik,
The Parity Phenomenon of the Floquet Spectra,
Phys. Lett. A. 352, 1-2, pp. 36-40 (2006).

8. Alejandra Ramirez: :
"Operaciones Magneticas: ¿Una ventana a la geometria no conmutativa?"
Physics Department, CINVESTAV (2008).

Publications:
1) B. Mielnik, A. Ramirez
"Ion traps: some Semiclassical observations"
Phys. Scr. 82, 055002 (2010).
2) B. Mielnik, A. Ramirez.
Magnetic operations: a little fuzzy mechanics?
Phys. Scr. 84, 045008 (2011).



Master (12)



1. Stefan Wojciechowski:
"Symetryczne prawdopodobienstwa przejscia"
IFT UW, Warsaw, Poland (1972).

Publications:
"Symmetric transition probabilities in convex models of quantum mechanics",
Rep. Math. Phys. 8, 387 (1975).

2. Jacek Waniewski:
"Grupa ruchu falowej mechaniki kwantowej"
IFT UW, Warsaw, Poland (1973).

Publications:
"Theorem about the completeness of quantum mechanical motion group",
Rep. Math. Phys. 11, 331 (1977).

3. Dorota Rdzanek:
"Geometria stanow mieszanych w mechanice kwantowej"
IFT UW, Warsaw, Poland, (1973). (F. Pedagogiczna)

4. Andrzej Poniewierski:
"Zagadnienie evolucji dla oscylatora zaleznego od czasu"
IFT UW, Warsaw, Poland, (1977).

5. David Fernandez:
"El desarrollo del metodo de factorizacion en la mecanica cuantica",
Physics Department, CINVESTAV, (1984).

Publications:
"New hydrogen-like potentials",
Lett. Math. Phys. 8, 337 (1984).

6. Gerardo Herrera:
"Manipulacion de una particula de Schrodinger por un
potencial cuadratico dependiente del tiempo".
Physics Department, CINVESTAV (1987).

7. Francisco Solis:
"Estudio critico del potencial ponderomotriz para
las ondas planas linealmente polarizadas".
Physics Department, CINVESTAV (1990).

8. Diego Sanjines:
"Ecuacion unidimensional de Schrodinger como el problema dinamico clasico".
Physics Department, CINVESTAV (1990).

Publications:
"One-dimensional Schrodinger equation as a classical dynamical problem".
Rev.Mex.Fis. 36, S181 (1990).

9. Francisco Delgado:
"Manipulacion electromagnetica del paquete de onda".
Physics Department, CINVESTAV, Mexico, (1992).

10. Marco Antonio Reyes:
"La ecuacion angular de Riccati y el problema espectral unidimensional".
Physics Department, CINVESTAV, Mexico, (1992).

Publications:
1) "Classical Trajectories and Quantum Spectra",
(with B. Mielnik) Proc. IV ICSSUR, Shanxi, China, ed. NASA, June 1995, pp. 123-131.
2) "The classical Schrodinger's equation",
(with B. Mielnik) J. Phys. A. 29, 6009 (1996).

11. Sara G. Cruz y Cruz:
"El Algoritmo Angular en los espectros cuanticos"
Physics Department, CINVESTAV (1998).

12. Alejandra Ramirez:
"Los operadores Hermitianos en un espacio con metrica indefinida".
Physics Department, CINVESTAV, (1999).

Publications:
1) A.Ramirez P. and B. Mielnik,
"The challenge of Non-hermitean structures in Physics",
Rev. Mex. Fis.

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