Geodesic
Spectral properties of the finite system of Klein-Gordon s-wave equations with general boundary condition
Filomat, Tome 37 (2023) no. 6, p. 1907

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DOI

The spectral characteristics of the operator L is studied where L is defined within the Hilbert space L2(R+,CV) given by a finite system of Klein-Gordon type differential equations and boundary condition at general form. The research of the Klein-Gordon type operator continues to be an important topic for researchers due to the range of applicability of them in numerous branches of mathematics and quantum physics. Contrary to the previous works, we take the potential as complex valued and generalize the problem to the matrix Klein-Gordon operator case. The spectrum is derived by determining the Jost function and resolvent operator of the prescribed operator. Further, we provide the conditions that must be met for the certain quantitative properties of the spectrum.
DOI : 10.2298/FIL2306907A
Classification : 39A70, 47A10, 47A75
Keywords: Eigenvalues, Spectral singularities, Klein-Gordon S-Wave Equation 
Esra Kir Arpat; Nihal Yokus; Nimet Coskun. Spectral properties of the finite system of Klein-Gordon s-wave equations with general boundary condition. Filomat, Tome 37 (2023) no. 6, p. 1907 . doi: 10.2298/FIL2306907A
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     title = {Spectral properties of the finite system of {Klein-Gordon} s-wave equations with general boundary condition},
     journal = {Filomat},
     pages = {1907 },
     year = {2023},
     volume = {37},
     number = {6},
     doi = {10.2298/FIL2306907A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2306907A/}
}
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