Geodesic
Asymptotic representation of projector kernel for 2D harmonic oscillator in a strip
Čelâbinskij fiziko-matematičeskij žurnal, Tome 7 (2022) no. 3, pp. 301-311

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The study of the asymptotic behavior of the eigenprojector kernel is a key point in obtaining formulas for the regularized traces of bounded perturbations for discrete two-dimensional model differential operators of mathematical physics. In this paper, we consider a 2D harmonic oscillator in a strip. The stationary phase method is used to study the asymptotics of the projector kernel.
Keywords: differential operator, spectrum, operator trace, 2D harmonic oscillator, kernel, projector. 
@article{CHFMJ_2022_7_3_a3,
     author = {I. G. Yandybaeva},
     title = {Asymptotic representation of projector kernel for {2D} harmonic oscillator in a strip},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {301--311},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2022_7_3_a3/}
}
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I. G. Yandybaeva. Asymptotic representation of projector kernel for 2D harmonic oscillator in a strip. Čelâbinskij fiziko-matematičeskij žurnal, Tome 7 (2022) no. 3, pp. 301-311. http://geodesic.mathdoc.fr/item/CHFMJ_2022_7_3_a3/