2024-03-29T11:37:06Zhttp://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/408732021-06-24T07:22:49Zcom_10324_22154com_10324_954com_10324_894col_10324_22155
Mohamadian, T.
6cec7c81-c594-4338-9e0b-2a301b7d0d4d
500
Panahi, H.
72eab12d-44a5-45ea-a5ea-aafa5272f4a3
500
Negro Vadillo, Francisco Javier
ce16d9bdedb91eaf
500
0000-0002-0847-6420
2020-05-16T11:29:01Z
2020-05-16T11:29:01Z
2020
Phys. Lett. A 384 (2020) 126091
0375-9601
http://uvadoc.uva.es/handle/10324/40873
10.1016/j.physleta.2019.126091
126091
3
Physics Letters A
384
We study in detail the behavior of the energy spectrum for the second harmonic generation (SHG) and a family of corresponding quasi-exactly solvable Schrödinger potentials labeled by a real parameter b. The eigenvalues of this system are obtained by the polynomial deformation of the Lie algebra representation space. We have found the bi-confluent Heun equation (BHE) corresponding to this system in a differential realization approach, by making use of the symmetries. By means of a b-transformation from this second-order equation to a Schrödinger one, we have found a family of quasi-exactly solvable potentials. For each invariant n-dimensional subspace of the second harmonic generation, there are either n potentials, each with one known solution, or one potential with n-known solutions. Well-known potentials like a sextic oscillator or that of a quantum dot appear among them.
application/pdf
eng
info:eu-repo/semantics/openAccess
Second harmonic Hamiltonian: Algebraic and Schrödinger approaches
info:eu-repo/semantics/article
info:eu-repo/semantics/draft
SI
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c5ca772c520e145d6d70e142a7bbf928
MD5
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LICENSE
license.txt
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text/plain
3926
https://uvadoc.uva.es/bitstream/10324/40873/2/license.txt
017313583e37a1e4d1253e1ef6c66c6c
MD5
2
ORIGINAL
mohamadianegropanahi.pdf
mohamadianegropanahi.pdf
application/pdf
536509
https://uvadoc.uva.es/bitstream/10324/40873/1/mohamadianegropanahi.pdf
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MD5
1
10324/40873
oai:uvadoc.uva.es:10324/40873
2021-06-24 09:22:49.43
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