Zobrazeno 1 - 10
of 34 814
pro vyhledávání: '"P Jost"'
Autor:
Lukić, Milivoje, Wang, Xingya
We study Jost solutions of Schr\"odinger operators with potentials which decay with respect to a local $H^{-1}$ Sobolev norm; in particular, we generalize to this setting the results of Christ--Kiselev for potentials between the integrable and square
Externí odkaz:
http://arxiv.org/abs/2405.17715
Akademický článek
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The S-matrix which satisfies the unitarity, giving the poles as RPA excited states, is derived using the extended Jost function within the framework of the RPA theory. An analysis on the correspondence between the component decomposition of the RPA s
Externí odkaz:
http://arxiv.org/abs/2403.01720
Autor:
Latushkin, Yuri, Vasudevan, Shibi
For a second order difference equation that arises in the study of stability of unidirectional (generalized Kolmogorov) flows for the Euler equations of ideal fluids on the two dimensional torus, we relate the following five functions of the spectral
Externí odkaz:
http://arxiv.org/abs/2401.14037
The single-channel Jost function is calculated with the computational R-matrix on a Lagrange-Jacobi mesh, in order to study its behaviour at complex wavenumbers. Three potentials derived from supersymmetric transformations are used to test the accura
Externí odkaz:
http://arxiv.org/abs/2306.12216
Autor:
Zhu, Xiaobao
Let $(M,g)$ be a compact Riemann surface, $h$ be a positive smooth function on $M$. It is well known the functional $$J(u)=\frac{1}{2}\int_M|\nabla u|^2dv_g+8\pi\int_M udv_g-8\pi\log\int_Mhe^{u}dv_g$$ achieves its minimum under Ding-Jost-Li-Wang cond
Externí odkaz:
http://arxiv.org/abs/2212.09943
The Jost function method is extended within the framework of the RPA theory to find poles on the complex energy plane that exhibit complex RPA eigenenergies. Poles corresponding to the RPA excited states such as the giant resonance of $^{16}$O electr
Externí odkaz:
http://arxiv.org/abs/2212.02276
Akademický článek
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Autor:
Döndü Nurten Cücen, Anar Adiloğlu
Publikováno v:
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, Vol 18, Iss 1, Pp 18-27 (2023)
In this study we construct new integral representations of Jost-type solutions of the quadratic pencil of the Sturm-Liouville equation with the piece-wise constant coefficient on the entire real line. Our aim is to express the special solutions of th
Externí odkaz:
https://doaj.org/article/9a9bce0ee07a4bb38fe4990cc5e6a28a
Publikováno v:
Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiên, Vol 132, Iss 1D (2023)
The Jost function formalism is extended with use of the complex potential in this paper. We derive the Jost function by taking into account the dual state which is defined by the complex conjugate the complex Hamiltonian. By using the unitarity of th
Externí odkaz:
https://doaj.org/article/ab4baa33949c4edbb3c58b6e19f5b44f