English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In our previous work, we proposed a mathematical framework for PT-symmetricquantum theory, and in particular constructed a Krein space in whichPT-symmetric operators would naturally act. In this work, we explore anddiscuss various general consequences and aspects of the theory defined in theKrein space, not only spectral property and PT symmetry breaking but alsoseveral issues, crucial for the theory to be physically acceptable, such astime evolution of state vectors, probability interpretation, uncertaintyrelation, classical-quantum correspondence, completeness, existence of a basis,and so on. In particular, we show that for a given real classical system we canalways construct the corresponding PT-symmetric quantum system, which indicatesthat PT-symmetric theory in the Krein space is another quantization schemerather than a generalization of the traditional Hermitian one in the Hilbertspace. We propose a postulate for an operator to be a physical observable inthe framework.Comment: 32 pages, no figures; explanation, discussion and references adde

General aspects of -symmetric and -self-adjoint quantum theory in a Krein space