Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Emanuela Caliceti"'
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 6, p 009 (2010)
We prove the reality of the perturbed eigenvalues of some PT symmetric Hamiltonians of physical interest by means of stability methods. In particular we study 2-dimensional generalized harmonic oscillators with polynomial perturbation and the one-dim
Externí odkaz:
https://doaj.org/article/9e93279237634834aac04e1d0a56c611
Autor:
Sandro Graffi, Emanuela Caliceti
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 19:1955-1967
We consider on $L^2(\mathbb{R})$ the Schrodinger operator family $H(g)$ with domain and action defined as follows $$ D(H(g))=H^2(\mathbb{R})\cap L^2_{2M}(\mathbb{R}); \quad H(g) u=\bigg(-\frac{d^2}{dx^2}+\frac{x^{2M}}{2M}-g\,\frac{x^{M-1}}{M-1}\bigg)
Autor:
Sandro Graffi, Emanuela Caliceti
Publikováno v:
Rendiconti Lincei - Matematica e Applicazioni. 24:385-407
Autor:
Sandro Graffi, Emanuela Caliceti
Publikováno v:
Pramana. 73:241-249
We generalize some recently established criteria for the reality and non-reality of the spectrum of some classes of \( \mathcal{P}\mathcal{T} \)-symmetric Schrodinger operators. The criteria include cases of discrete spectra and continuous ones.
Autor:
Michael Meyer-Hermann, Paolo Ribeca, Emanuela Caliceti, Ulrich D. Jentschura, Andrey Surzhykov
Publikováno v:
Physics Reports. 446:1-96
This review is focused on the borderline region of theoretical physics and mathematics. First, we describe numerical methods for the acceleration of the convergence of series. These provide a useful toolbox for theoretical physics which has hitherto
Autor:
Emanuela Caliceti, Sandro Graffi
Publikováno v:
Non-Selfadjoint Operators in Quantum Physics
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::58033b9692cc59c42299e99857fbb85c
https://doi.org/10.1002/9781118855300.ch4
https://doi.org/10.1002/9781118855300.ch4
Autor:
Emanuela Caliceti, Christiane Quesne, Hendrik B. Geyer, Miloslav Znojil, Bijan Bagchi, A. Banerjee, Francesco Cannata
Publikováno v:
International Journal of Modern Physics A. 20:7107-7128
A brief overview is given of recent developments and fresh ideas at the intersection of [Formula: see text]- and/or [Formula: see text]-symmetric quantum mechanics with supersymmetric quantum mechanics (SUSY QM). Within the framework of the resulting
Autor:
Emanuela Caliceti
Publikováno v:
Czechoslovak Journal of Physics. 55:1077-1080
Some recent results are described on the reality of the spectrum of \(\mathcal{P}\mathcal{T}\)-symmetric Schrodinger operators, obtained by perturbing a class of quantum nonlinear oscillators by means of suitable relatively bounded perturbations.
Autor:
Emanuela Caliceti
Publikováno v:
Czechoslovak Journal of Physics. 54:29-34
The proof is outlined of the distributional Borel summability of the Rayleigh–Schrodinger perturbation expansions of the quantum Henon–Heiles model.
Autor:
Emanuela Caliceti
Publikováno v:
Czechoslovak Journal of Physics. 53:999-1005
Let H be any PT-symmetric Schrodinger operator of the type H=-ħ2Δ+x2+igW(x), where W is a real polynomial, odd under reflection of all coordinates, g∈R, acting on L2(Rd). The proof is outlined of the following statements: PH is self-adjoint and i