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Abstract:

We find the minimal mathematical structure to represent quantum eigenstates with complex eigenvalues with no need of analytic continuation. These eigenvectors build doublets in non-Hilbert spaces. We construct exact solutions for the Friedrichs model that continuously join the ones of the free Hamiltonian. We extend the Wigner operator to these non-Hilbert spaces and enlarge the concept of normalized vectors via the definition of the doublets. Making use of these doublets, we describe systems whose states have initial conditions out of Hilbert space. © 1996 American Institute of Physics.

Registro:

Documento: Artículo
Título:The doublet representation of non-Hilbert eigenstates of the Hamiltonian
Autor:Castagnino, M.; Domenech, G.; Levinas, M.; Umérez, N.
Filiación:Departamento de Física, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Bs. As., Argentina
Inst. Astronomia y Fis. del Espacio, C.C. 67 Suc. 28, 1428 Bs. As., Argentina
Año:1996
Volumen:37
Número:5
Página de inicio:2107
Página de fin:2120
DOI: http://dx.doi.org/10.1063/1.531500
Título revista:Journal of Mathematical Physics
Título revista abreviado:J. Math. Phys.
ISSN:00222488
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v37_n5_p2107_Castagnino

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Citas:

---------- APA ----------
Castagnino, M., Domenech, G., Levinas, M. & Umérez, N. (1996) . The doublet representation of non-Hilbert eigenstates of the Hamiltonian. Journal of Mathematical Physics, 37(5), 2107-2120.
http://dx.doi.org/10.1063/1.531500
---------- CHICAGO ----------
Castagnino, M., Domenech, G., Levinas, M., Umérez, N. "The doublet representation of non-Hilbert eigenstates of the Hamiltonian" . Journal of Mathematical Physics 37, no. 5 (1996) : 2107-2120.
http://dx.doi.org/10.1063/1.531500
---------- MLA ----------
Castagnino, M., Domenech, G., Levinas, M., Umérez, N. "The doublet representation of non-Hilbert eigenstates of the Hamiltonian" . Journal of Mathematical Physics, vol. 37, no. 5, 1996, pp. 2107-2120.
http://dx.doi.org/10.1063/1.531500
---------- VANCOUVER ----------
Castagnino, M., Domenech, G., Levinas, M., Umérez, N. The doublet representation of non-Hilbert eigenstates of the Hamiltonian. J. Math. Phys. 1996;37(5):2107-2120.
http://dx.doi.org/10.1063/1.531500