scholarly journals Semi-indefinite inner product and generalized Minkowski spaces

2010 ◽  
Vol 60 (9) ◽  
pp. 1190-1208 ◽  
Author(s):  
Á.G. Horváth
Keyword(s):  
Inner Product ◽  
Indefinite Inner Product ◽  
Minkowski Spaces ◽  
Generalized Minkowski Spaces

scholarly journals Uniqueness of circumcenters in generalized Minkowski spaces

2019 ◽  
Vol 237 ◽  
pp. 153-159 ◽  
Author(s):  
Bernardo González Merino ◽  
Thomas Jahn ◽  
Christian Richter
Keyword(s):  
Minkowski Spaces ◽  
Generalized Minkowski Spaces

scholarly journals CRYPTO-HERMITIAN APPROACH TO THE KLEIN–GORDON EQUATION

2017 ◽  
Vol 57 (6) ◽  
pp. 462 ◽  
Author(s):  
Iveta Semoradova
Keyword(s):  
Quantum Mechanics ◽  
Gordon Equation ◽  
Inner Product ◽  
Indefinite Inner Product ◽  
Probability Interpretation ◽  
Klein Gordon ◽  
Common Problems ◽  
Klein Gordon Equation

We explore the Klein-Gordon equation in the framework of crypto-Hermitian quantum mechanics. Solutions to common problems with probability interpretation and indefinite inner product of the Klein-Gordon equation are proposed.

Jacobi-type polynomials under an indefinite inner product

1981 ◽  
Vol 90 (1-2) ◽  
pp. 147-153 ◽  
Author(s):  
Angelo B. Mingarelli ◽  
Allan M. Krall
Keyword(s):  
Differential Operator ◽  
Fourth Order ◽  
Krein Space ◽  
Inner Product ◽  
Order Differential Operator ◽  
Indefinite Inner Product ◽  
Kreĭn Space ◽  
Image Position ◽  
Fourth Order Differential Operator

SynopsisThe polynomials which are orthogonal with respect towhen α> – 1, M>0 are considered when α<–1 and/or M<0. The Cauchy regularization of 〈·, ·〉 provides orthogonality and generates a Pontrjagin (Krein) space spanned by the polynomials. The polynomials are eigenfunctions associated with a self-adjoint, fourth order differential operator.

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