Non-hermitian extensions of Schrödinger type uncertainty relations

Non-hermitian extensions of Schrödinger type uncertainty relations

Creators Yanagi Kenjiro

International Symposium on Information Theory and its Applications, ISITA2014, Melbourne, Australia, October 26-29, 2006

In quantum mechanics it is well known that observables are represented by hermitian matrices (or operators). Uncertainty relations are represented as some kinds of trace inequalities satisfied by two observables and one density matrix (or operator). Now we try to release the hermitian restriction on observables. This is only a mathematical interest. In this case we give several non-hermitian extensions of Schrödinger type uncertainty relations for generalized skew information under some conditions.

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