An extension of quantum Hamilton-Jacobi formalism to N-spatial dimensions and its applications
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Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Heidelberg
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Due to the importance of hyperspherical coordinates, we report the quantum Hamilton-Jacobi formalism in N=2 spatial dimensions. The quantum momentum function equations in N-dimensions have been constructed within the framework of non relativistic theory. We also study the singularity structure of the quantum momentum function, which yields the determination of the bound state spectra of stationary quantum systems. In order to confirm the reliability of quantum Hamilton-Jacobi formalism in N-dimensions, we present the numerical data in support of the theoretical results obtained in the context of non-relativistic domain. We analyze the pole structure of the quantum momentum function for the H2 molecule in the ground electronic state interacting with Kratzer oscillator in hyperspherical coordinates. Numerical results reveal clearly that moving poles of the quantum momentum function depend on nodes in the hyperradial wave function of related molecule. We also discuss in detail the influence of dimensions on the quantum momentum function.
Açıklama
Anahtar Kelimeler
Quantization, Oscillator, Mechanics, States
Kaynak
European Physical Journal Plus
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
138
Sayı
5
