连系 发表于 2025-3-28 16:54:02
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Families of Compact Operators on Hilbert Spaces and Fundamental Properties, In order to introduce them it is necessary to define first ., also known as . operators, which play an important role in several branches of mathematics and physical applications irrespective of quantum theories.WATER 发表于 2025-3-29 00:32:08
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http://reply.papertrans.cn/88/8739/873863/873863_44.png黄瓜 发表于 2025-3-29 08:08:09
Introduction and Mathematical Backgrounds,atically rigorous way. This is a treatise on Mathematics (or Mathematical Physics) rather than a text on Quantum Mechanics. Except for a few cases, the physical phenomenology is left in the background in order to privilege the theory’s formal and logical aspects.Cardioplegia 发表于 2025-3-29 11:47:38
Hilbert Spaces and Bounded Operators,ntum Mechanics. A good part is devoted to . (.), which we treat in full generality without assuming the Hilbert space be separable. Before that, we discuss a paramount result in the theory of Hilbert spaces: ., according to which there is a natural anti-isomorphism between a Hilbert space and its dual.Custodian 发表于 2025-3-29 16:07:30
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http://reply.papertrans.cn/88/8739/873863/873863_49.pngCougar 发表于 2025-3-30 05:27:34
Introduction to the Algebraic Formulation of Quantum Theories,theorem about the so-called .. We will discuss how to treat the notion of quantum symmetry in this framework, by showing that an algebraic quantum symmetry can be implemented (anti-)unitarily in GNS representations of states invariant under the symmetry.