Extended space expectation values of position related operators for hydrogen-like quantum system evolutions

Berfin Kalay, Metin Demiralp

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde BölümKonferans katkısıbilirkişi

3 Atıf (Scopus)

Özet

The expectation value definitions over an extended space from the considered Hilbert space of the system under consideration is given in another paper of the second author in this symposium. There, in that paper, the conceptuality rather than specification is emphasized on. This work uses that conceptuality to investigate the time evolutions of the position related operators' expectation values not in its standard meaning but rather in a new version of the definition over not the original Hilbert space but in the space obtained by extensions via introducing the images of the given initial wave packet under the positive integer powers of the system Hamiltonian. These images may not be residing in the same space of the initial wave packet when certain singularities appear in the structure of the system Hamiltonian. This may break down the existence of the integrals in the definitions of the expectation values. The cure is the use of basis functions in the abovementioned extended space and the sandwiching of the target operator whose expectation value is under questioning by an appropriately chosen operator guaranteeing the existence of the relevant integrals. Work specifically focuses on the hydrogen-like quantum systems whose Hamiltonians contain a polar singularity at the origin.

Orijinal dilİngilizce
Ana bilgisayar yayını başlığıInternational Conference of Computational Methods in Sciences and Engineering 2014, ICCMSE 2014
EditörlerTheodore E. Simos, Theodore E. Simos, Theodore E. Simos, Theodore E. Simos, Theodore E. Simos, Zacharoula Kalogiratou, Theodore Monovasilis
YayınlayanAmerican Institute of Physics Inc.
Sayfalar883-886
Sayfa sayısı4
ISBN (Elektronik)9780735412552
DOI'lar
Yayın durumuYayınlandı - 6 Eki 2014
EtkinlikInternational Conference of Computational Methods in Sciences and Engineering 2014, ICCMSE 2014 - Athens, Greece
Süre: 4 Nis 20147 Nis 2014

Yayın serisi

AdıAIP Conference Proceedings
Hacim1618
ISSN (Basılı)0094-243X
ISSN (Elektronik)1551-7616

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???event.eventtypes.event.conference???International Conference of Computational Methods in Sciences and Engineering 2014, ICCMSE 2014
Ülke/BölgeGreece
ŞehirAthens
Periyot4/04/147/04/14

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Publisher Copyright:
© 2014 AIP Publishing LLC.

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