We obtain the exact wave function of a monolayer phosphorene under a
low-intensity time-dependent magnetic field using the dynamical
invariant method. We calculate the quantum-mechanical energy expectation
value and the transition probability for a constant and an oscillatory
magnetic field. For the former we observe that the Landau level energy
varies linearly with the quantum numbers n and m and the magnetic field
intensity B-0: No transition takes place. For the latter, we observe
that the energy oscillates in time, increasing linearly with the Landau
level n and m and nonlinearly with the magnetic field. The (k,l)->(n,m)
mthorn transitions take place only for l - m: We investigate the (0, 0)
-> (n, 0) and (1, l) and (2, l) probability transitions.
%0 Journal Article
%1 WOS:000424809500014
%A Nascimento, J P G
%A Aguiar, V
%A Guedes, I
%C PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
%D 2018
%I ELSEVIER SCIENCE BV
%J PHYSICA B-CONDENSED MATTER
%K Landau Lewis Probability Quantum-mechanical Riesenfeld Time-dependent and energy expectation level; method; systems; transition} values; {Phosphorene;
%P 85-89
%R 10.1016/j.physb.2017.11.089
%T Monolayer phosphorene under time-dependent magnetic field
%V 531
%X We obtain the exact wave function of a monolayer phosphorene under a
low-intensity time-dependent magnetic field using the dynamical
invariant method. We calculate the quantum-mechanical energy expectation
value and the transition probability for a constant and an oscillatory
magnetic field. For the former we observe that the Landau level energy
varies linearly with the quantum numbers n and m and the magnetic field
intensity B-0: No transition takes place. For the latter, we observe
that the energy oscillates in time, increasing linearly with the Landau
level n and m and nonlinearly with the magnetic field. The (k,l)->(n,m)
mthorn transitions take place only for l - m: We investigate the (0, 0)
-> (n, 0) and (1, l) and (2, l) probability transitions.
@article{WOS:000424809500014,
abstract = {We obtain the exact wave function of a monolayer phosphorene under a
low-intensity time-dependent magnetic field using the dynamical
invariant method. We calculate the quantum-mechanical energy expectation
value and the transition probability for a constant and an oscillatory
magnetic field. For the former we observe that the Landau level energy
varies linearly with the quantum numbers n and m and the magnetic field
intensity B-0: No transition takes place. For the latter, we observe
that the energy oscillates in time, increasing linearly with the Landau
level n and m and nonlinearly with the magnetic field. The (k,l)->(n,m)
mthorn transitions take place only for l - m: We investigate the (0, 0)
-> (n, 0) and (1, l) and (2, l) probability transitions.},
added-at = {2022-05-23T20:00:14.000+0200},
address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS},
author = {Nascimento, J P G and Aguiar, V and Guedes, I},
biburl = {https://www.bibsonomy.org/bibtex/2989506113efe3f36e66507207587b0f8/ppgfis_ufc_br},
doi = {10.1016/j.physb.2017.11.089},
interhash = {c52d55a6dc1285ae46d0d25a6c7736ab},
intrahash = {989506113efe3f36e66507207587b0f8},
issn = {0921-4526},
journal = {PHYSICA B-CONDENSED MATTER},
keywords = {Landau Lewis Probability Quantum-mechanical Riesenfeld Time-dependent and energy expectation level; method; systems; transition} values; {Phosphorene;},
pages = {85-89},
publisher = {ELSEVIER SCIENCE BV},
pubstate = {published},
timestamp = {2022-05-23T20:00:14.000+0200},
title = {Monolayer phosphorene under time-dependent magnetic field},
tppubtype = {article},
volume = 531,
year = 2018
}