scientific article
zbMATH Open0624.46052MaRDI QIDQ3025683
Publication date: 1986
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continuous spectrumunbounded operatorsorthonormal basis of eigenvectorsrigged Hilbert spacehyperreal numbersBernstein- Robinson's theorem about the polynomially compact operatorsinternal hyperfinite dimensional vector spacenonstandard version of quantum mechanicsunitary vector space over the field of the hypercomplex numbers
Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Nonstandard functional analysis (46S20) Inner product spaces and their generalizations, Hilbert spaces (46C99) Miscellaneous applications of functional analysis (46N99) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)
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