The hypervirial-Padé summation method applied to the anharmonic oscillator

Altuǧ Arda

The hypervirial-Padé summation method applied to the anharmonic oscillator

Altuǧ Arda

Fizik Eğitimi Anabilim Dalı

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

3 Alıntılar (Scopus)

Özet

The energy eigenvalues of the anharmonic oscillator characterized by the cubic potential for various eigenstates are determined within the framework of the hypervirial-Padé summation method. For this purpose the E[3, 3] and E[3, 4] Padé approximants are formed to the energy perturbation series and given the energy eigenvalues up to fourth order in terms of the anharmonicity parameter λ.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	223-227
Sayfa sayısı	5
Dergi	Turkish Journal of Physics
Hacim	28
Basın numarası	4
Yayın durumu	Yayınlandı - 2004

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@article{14de4c608caa486abaf09a39ed67224f,

title = "The hypervirial-Pad{\'e} summation method applied to the anharmonic oscillator",

abstract = "The energy eigenvalues of the anharmonic oscillator characterized by the cubic potential for various eigenstates are determined within the framework of the hypervirial-Pad{\'e} summation method. For this purpose the E[3, 3] and E[3, 4] Pad{\'e} approximants are formed to the energy perturbation series and given the energy eigenvalues up to fourth order in terms of the anharmonicity parameter λ.",

keywords = "Anharmonic oscillator, Hypervirial theorems, Pad{\'e} summation method, Schrodinger equation",

author = "Altuǧ Arda",

year = "2004",

language = "English",

volume = "28",

pages = "223--227",

journal = "Turkish Journal of Physics",

issn = "1300-0101",

publisher = "TUBITAK",

number = "4",

}

TY - JOUR

T1 - The hypervirial-Padé summation method applied to the anharmonic oscillator

AU - Arda, Altuǧ

PY - 2004

Y1 - 2004

N2 - The energy eigenvalues of the anharmonic oscillator characterized by the cubic potential for various eigenstates are determined within the framework of the hypervirial-Padé summation method. For this purpose the E[3, 3] and E[3, 4] Padé approximants are formed to the energy perturbation series and given the energy eigenvalues up to fourth order in terms of the anharmonicity parameter λ.

AB - The energy eigenvalues of the anharmonic oscillator characterized by the cubic potential for various eigenstates are determined within the framework of the hypervirial-Padé summation method. For this purpose the E[3, 3] and E[3, 4] Padé approximants are formed to the energy perturbation series and given the energy eigenvalues up to fourth order in terms of the anharmonicity parameter λ.

KW - Anharmonic oscillator

KW - Hypervirial theorems

KW - Padé summation method

KW - Schrodinger equation

UR - https://www.scopus.com/pages/publications/4944234157

M3 - Article

AN - SCOPUS:4944234157

SN - 1300-0101

VL - 28

SP - 223

EP - 227

JO - Turkish Journal of Physics

JF - Turkish Journal of Physics

IS - 4

ER -

The hypervirial-Padé summation method applied to the anharmonic oscillator

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