How to test for diagonalizability: the discretized PT-invariant square-well potential
نویسندگان
چکیده
منابع مشابه
How to Test for Diagonalizability: The Discretized PT-Invariant Square-Well Potential
Given a non-hermitean matrix M, the structure of its minimal polynomial encodes whether M is diagonalizable or not. This note will explain how to determine the minimal polynomial of a matrix without going through its characteristic polynomial. The approach is applied to a quantum mechanical particle moving in a square well under the influence of a piece-wise constant PT-symmetric potential. Upo...
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A non-Hermitean operator does not necessarily have a complete set of eigenstates, contrary to a Hermitean one. An algorithm is presented which allows one to decide whether the eigenstates of a given PT-invariant operator on a finite-dimensional space are complete or not. In other words, the algorithm checks whether a given PT-symmetric matrix is diagonalizable. The procedure neither requires to...
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ژورنال
عنوان ژورنال: Czechoslovak Journal of Physics
سال: 2005
ISSN: 0011-4626,1572-9486
DOI: 10.1007/s10582-005-0126-7