Bicomplex Quantum Mechanics: II. The Hilbert Space
نویسندگان
چکیده
منابع مشابه
Bicomplex Quantum Mechanics: II. The Hilbert Space
Using the bicomplex numbers T which is a commutative ring with zero divisors defined by T = {w0+w1i1+w2i2+ w3j | w0, w1, w2, w3 ∈ R} where i21 = −1, i22 = −1, j = 1, i1i2 = j = i2i1, we construct hyperbolic and bicomplex Hilbert spaces. Linear functionals and dual spaces are considered on these spaces and properties of linear operators are obtain; in particular it is established that the eigenv...
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In paper [Znojil M., Phys. Rev. D 78 (2008), 085003, 5 pages, arXiv:0809.2874] the two-Hilbert-space (2HS, a.k.a. cryptohermitian) formulation of Quantum Mechanics has been revisited. In the present continuation of this study (with the spaces in question denoted as H and H) we spot a weak point of the 2HS formalism which lies in the double role played by H. As long as this confluence of roles m...
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ژورنال
عنوان ژورنال: Advances in Applied Clifford Algebras
سال: 2006
ISSN: 0188-7009,1661-4909
DOI: 10.1007/s00006-006-0008-5