Journal of Physical Studies 23(4), Article 4002 [4 pages] (2019)
DOI: https://doi.org/10.30970/jps.23.4002
DETERMINING KEY ENERGY RELATIONS, QUANTUM STATES AND ASSOCIATED MATRIX
FORMALISMS RELATIVE TO THE COLLISION BETWEEN TWO DIATOMIC MOLECULES
UNDER A STRONG MAGNETIC FIELD
M. A. Grado-Caffaro, M. Grado-Caffaro
M. A. Grado-Caffaro and M. Grado-Caffaro-Scientific Consultants,
C/Julio Palacios 11, 9-B, 28029-Madrid, Spain,
%\url{www.sapienzastudies.com},
e-mail: ma.grado-caffaro@sapienzastudies.com
|
|
We carry out a dynamical analysis of the collision process between
two diatomic molecules in the presence of a strong magnetic field.
In order to exemplify, these molecules can be, say, typically, lasing
molecules as, for instance, relative to carbon-monoxide gasdynamic
lasers. The molecules in question behave as quantum anharmonic oscillators
after the Morse potential. In our analysis, we simulate the kinetic
energy lost after the collision by assuming, equivalently, two additional
molecules (fictitious and identical to the molecules which collide)
with the above kinetic energy. Furthermore, the corresponding density
of states is determined and associated matrix formalisms are established
to calculate the total number of states.
PACS number(s): 02.10.Yn, 03.65.-w, 33.20.Tp, 34.20.-b, 34.50.-s
pdf
References
- J. A. Coxon, P. G. Hajigeorgiou, J. Chem. Phys. 132, 094105 (2010);
CrossRef
- R. J. Le Roy, Y. Huang, C. Jary, J. Chem. Phys. 125 164310 (2006);
CrossRef
- N. S. Dattani, R. J. Le Roy, J. Mol. Spectrosc. 268 199 (2013);
CrossRef
- L. K. Grover, Phys. Rev. Lett. 79, 325 (1997);
CrossRef
- S. A. Mikhailov, Physica B 299, 6 (2001);
CrossRef
- M. A. Grado-Caffaro, M. Grado-Caffaro, Eur. Phys. J. B 73, 243 (2010);
CrossRef
- S. Y. Bhide, S. Yashonath, J. Phys. Chem. A 106, 7130 (2002);
CrossRef
- R. L. McKenzie, Phys. Fluids 15, 2163 (1972);
CrossRef
- J. D. Anderson, jr., Gasdynamic lasers: an introduction (Academic Press, New York, 1976), p. 113.
- A. A. Dakhel, Curr. Appl. Phys. 11, 11 (2011);
CrossRef
- Tz-Jun Kuo, M. H. Huang, J. Phys. Chem. B 110, 13717 (2006);
CrossRef
- J. Owen, J. H. M. Thornley, Rep. Prog. Phys. 29, 675 (1966);
CrossRef
- G. Amat, H. H. Nielsen, G. Tarrago, Rotation-vibration of polyatomic molecules (Marcel Dekker, Inc., New York, NY, 1971).
- M. Dang-Nhu, A. S. Pine, Can. J. Phys. 64, 289 (1986);
CrossRef
- M. A. Grado-Caffaro, M. Grado-Caffaro, Mod. Phys. Lett. B 18, 1449 (2004);
CrossRef
- M. A. Grado-Caffaro, M. Grado-Caffaro, Rep. Math. Phys. 70, 105 (2012);
CrossRef
- M. A. Grado-Caffaro, M. Grado-Caffaro, Adv. Stud. Theor. Phys. 8, 73 (2014);
CrossRef
- M.A. Grado-Caffaro, M. Grado-Caffaro, Z. Naturforsch. A 72, 463 (2017);
CrossRef
- B. E. J. Dahlberg, E. Trubowitz, Comment. Math. Helvetici 57, 130 (1982);
CrossRef
- A. Mohamed, J. Math. Phys. 38, 4023 (1997);
CrossRef
- M. M. Skriganov, Inv. Math. 80, 107 (1985);
CrossRef
- A. V. Sobolev, Ann. Henri Poincaré 6, 31 (2005);
CrossRef