Indefinite metric and its application to quantum mechanics

Eugene Machusky

Suraj N. Gupta

The formalism of quantum mechanics in a vector space with an indefinite metric is developed in a simplified way, and the properties of the indefinite vector space are discussed in detail with particular attention to vectors of negative and vanishing norms. It is shown how the present formalism simplifies the use of the indefinite metric in physical applications.

Osamu Miyatake

Finite dimensional complex linear spaces with indefinite metrices will be constructed by using Weyl's method. The triangular inequality does not hold valid in these spaces....

Mostafazadeh, A

With a view to eliminate an important misconception in some recent publications, we give a brief review of the notion of a pseudo-Hermitian operator, outline pseudo-Hermitian quantum mechanics, and discuss its basic difference with the indefinite-metric quantum mechanics. In particular, we show that the answer to the question posed in the title is a definite No.

Martin Fraas, Bruno Nachtergaele, Simone Warzel +1 more