Zobrazeno 1 - 10
of 26
pro vyhledávání: '"J C David Fernández"'
Publikováno v:
The European Physical Journal Plus. 135
In this paper, we consider the interaction of electrons in bilayer graphene with a constant homogeneous magnetic field which is orthogonal to the bilayer surface. Departing from the energy eigenstates of the effective Hamiltonian, the corresponding c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78ad34503624e3a9313f5d6ff03cb231
https://doi.org/10.1140/epjp/s13360-020-00746-5
https://doi.org/10.1140/epjp/s13360-020-00746-5
Autor:
J C David Fernández, Rosa Reyes
Publikováno v:
Physica Scripta. 96:125250
The first and second-order supersymmetry transformations can be used to manipulate one or two energy levels of the initial spectrum when generating new exactly solvable Hamiltonians from a given initial potential. In this paper, we will construct the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4d28e1f902e315fa170375884f6422ff
https://doi.org/10.1088/1402-4896/ac33f9
https://doi.org/10.1088/1402-4896/ac33f9
Publikováno v:
The European Physical Journal Plus. 134
We build the coherent states for a family of solvable singular Schr\"odinger Hamiltonians obtained through supersymmetric quantum mechanics from the truncated oscillator. The main feature of such systems is the fact that their eigenfunctions are not
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e1a16e74690eeb310ebd9969eda99b1
https://doi.org/10.1140/epjp/i2019-12394-7
https://doi.org/10.1140/epjp/i2019-12394-7
In this paper we are going to build the multiphoton supercoherent states for the supersymmetric harmonic oscillator as eigenstates of the $m$-th power of a special form (but still with a free parameter) of the Kornbluth-Zypman supersymmetric annihila
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7490e7cf3de1eea8b6faa601be0a555a
http://arxiv.org/abs/1806.02337
http://arxiv.org/abs/1806.02337
Publikováno v:
UVaDOC. Repositorio Documental de la Universidad de Valladolid
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We study the supersymmetric partners of the harmonic oscillator with an infinite potential barrier at the origin and obtain the conditions under which it is possible to add levels to the energy spectrum of these systems. It is found that instead of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f7b2a97047b8042524965c56994873f
Publikováno v:
Physical and Mathematical Aspects of Symmetries ISBN: 9783319691633
Supersymmetry transformations of order k are applied to the harmonic oscillator for generating potentials V k j whose spectra have a gap of thickness k+1 with respect to the initial spectrum. The system’s extremal states are identified and, since t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6200ff6f3c058d1ab0c2b776a215479c
https://doi.org/10.1007/978-3-319-69164-0_60
https://doi.org/10.1007/978-3-319-69164-0_60
Publikováno v:
Physical and Mathematical Aspects of Symmetries ISBN: 9783319691633
We analyze the nonlinear coherent states for electrons in graphene interacting with a homogeneus magnetic field which is orthogonal to the layer surface. We also evaluate the corresponding Heisenberg uncertainty relation.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd99454330b04d4340fd9abd845b87eb
https://doi.org/10.1007/978-3-319-69164-0_59
https://doi.org/10.1007/978-3-319-69164-0_59
Publikováno v:
Physical and Mathematical Aspects of Symmetries ISBN: 9783319691633
Second degree polynomial Heisenberg algebras are realized through the harmonic oscillator Hamiltonian, together with two deformed ladder operators chosen as the third powers of the standard annihilation and creation operators. The corresponding solut
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce57a20d0b0512f016a627ef827a5f6b
https://doi.org/10.1007/978-3-319-69164-0_16
https://doi.org/10.1007/978-3-319-69164-0_16
Autor:
J C David Fernández
Publikováno v:
Trends in Mathematics ISBN: 9783319317557
An algorithm to generate solutions to the Painleve IV and V equations is presented, based on supersymmetric quantum mechanics applied to the harmonic and radial oscillators, respectively. These solutions are expressed in terms of confluent hypergeome
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e13aec78cf95cd898530565ef1b5f89f
https://doi.org/10.1007/978-3-319-31756-4_18
https://doi.org/10.1007/978-3-319-31756-4_18
Publikováno v:
International Journal of Theoretical Physics. 50:2084-2093
After identifying the appropriate ladder operators, the coherent states for the asymmetric Penning trap are derived as common eigenstates of the annihilation operators. They will be compared with the ones obtained by acting the displacement operator
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dee42f33ae62ef920eb8bc402d59849e
https://doi.org/10.1007/s10773-010-0580-2
https://doi.org/10.1007/s10773-010-0580-2