$B$-Scrolls with Non-Diagonalizable Shape Operators
نویسندگان
چکیده
منابع مشابه
Stability of Non-diagonalizable Networks: Eigenvalue Analysis
The stability of non-diagonalizable networks of dynamical systems are investigated in detail based on eigenvalue analysis. Pinning control is suggested to stabilize the synchronization state of the whole coupled network. The complicated coupled problem is reduced to two independent problems: clarifying the stable region of the modified system and specifying the eigenvalue distribution of the co...
متن کاملNon-Hermitian Quantum Mechanics of Non-diagonalizable Hamiltonians: puzzles with self-orthogonal states
We consider QM with non-Hermitian quasi-diagonalizable Hamiltonians, i.e. the Hamiltonians having a number of Jordan cells in particular biorthogonal bases. The ”self-orthogonality” phenomenon is clarified in terms of a correct spectral decomposition and it is shown that ”self-orthogonal” states never jeopardize resolution of identity and thereby quantum averages of observables. The example of ...
متن کاملNon-linear Supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians: II. Rigorous results
We continue our investigation of the nonlinear SUSY for complex potentials started in the Part I [7] and prove the theorems characterizing its structure in the case of nondiagonalizable Hamiltonians. This part provides the mathematical basis of previous studies. The classes of potentials invariant under SUSY transformations for non-diagonalizable Hamiltonians are specified and the asymptotics o...
متن کاملExactly Solvable Non-separable and Non-diagonalizable 2-dim Model with Quadratic Complex Interaction
We study a quantum model with non-isotropic two-dimensional oscillator potential but with additional quadratic interaction x1x2 with imaginary coupling constant. It is shown, that for a specific connection between coupling constant and oscillator frequences, the model is not amenable to a conventional separation of variables. The property of shape invariance allows to find analytically all eige...
متن کاملNon-destructive Investigation of the Dead Sea Scrolls
The Dead Sea Scrolls belong to the most important cultural assets of mankind. Their long term preservation and study is a challenge that demands an interdisciplinary approach. As early as the 1950s natural scientists assisted the scholars in studying the scrolls. It was at this time that the first extensive study of the scroll material took place. It was found that most fragments were written n...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2003
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181069992