The asymptotic behavior of the time fractional Schrödinger equation on Hilbert space

Przemysław Górka; Humberto Prado; Daniel J. Pons

doi:10.1063/1.5142272

The asymptotic behavior of the time fractional Schrödinger equation on Hilbert space

Przemysław Górka, Humberto Prado, Daniel J. Pons

Resultado de la investigación: Contribución a una revista › Artículo › revisión exhaustiva

1 Cita (Scopus)

Resumen

The purpose of this article is to show the asymptotic behavior of the solution of the abstract Schrödinger equation with time fractional derivative of order α ∈ (0, 1). We give a detailed description of the long time behavior of the corresponding operator solution. As it is expected in this case, the dynamics are not governed neither by a group nor by a semigroup.

Idioma original	Inglés
Número de artículo	031501
Publicación	Journal of Mathematical Physics
Volumen	61
N.º	3
DOI	https://doi.org/10.1063/1.5142272
Estado	Publicada - 1 mar. 2020

Áreas temáticas de ASJC Scopus

Física estadística y no lineal
Física matemática

Acceder al documento

10.1063/1.5142272

Otros archivos y enlaces

Link to publication in Scopus

Citar esto

@article{4a1ae7469d8946f98b90fab27baf15c7,

title = "The asymptotic behavior of the time fractional Schr{\"o}dinger equation on Hilbert space",

abstract = "The purpose of this article is to show the asymptotic behavior of the solution of the abstract Schr{\"o}dinger equation with time fractional derivative of order α ∈ (0, 1). We give a detailed description of the long time behavior of the corresponding operator solution. As it is expected in this case, the dynamics are not governed neither by a group nor by a semigroup.",

author = "Przemys{\l}aw G{\'o}rka and Humberto Prado and Pons, {Daniel J.}",

note = "Funding Information: We would like to thank the referee for his/her insightful comments. This research has been partially supported by FONDCEYT (Grant No. 1170571) and DICYT USACH.",

year = "2020",

month = mar,

day = "1",

doi = "10.1063/1.5142272",

language = "English",

volume = "61",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "3",

}

TY - JOUR

T1 - The asymptotic behavior of the time fractional Schrödinger equation on Hilbert space

AU - Górka, Przemysław

AU - Prado, Humberto

AU - Pons, Daniel J.

N1 - Funding Information: We would like to thank the referee for his/her insightful comments. This research has been partially supported by FONDCEYT (Grant No. 1170571) and DICYT USACH.

PY - 2020/3/1

Y1 - 2020/3/1

N2 - The purpose of this article is to show the asymptotic behavior of the solution of the abstract Schrödinger equation with time fractional derivative of order α ∈ (0, 1). We give a detailed description of the long time behavior of the corresponding operator solution. As it is expected in this case, the dynamics are not governed neither by a group nor by a semigroup.

AB - The purpose of this article is to show the asymptotic behavior of the solution of the abstract Schrödinger equation with time fractional derivative of order α ∈ (0, 1). We give a detailed description of the long time behavior of the corresponding operator solution. As it is expected in this case, the dynamics are not governed neither by a group nor by a semigroup.

UR - http://www.scopus.com/inward/record.url?scp=85081234676&partnerID=8YFLogxK

U2 - 10.1063/1.5142272

DO - 10.1063/1.5142272

M3 - Article

AN - SCOPUS:85081234676

VL - 61

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 3

M1 - 031501

ER -

The asymptotic behavior of the time fractional Schrödinger equation on Hilbert space

Resumen

Áreas temáticas de ASJC Scopus

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto