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Titlebook: An Introduction to Hilbert Space and Quantum Logic; David W. Cohen Textbook 1989 Springer-Verlag New York Inc. 1989 Functionals.algebra.de

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楼主: 马用
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Experiments, Measure and Integration,ng it takes a marble to drop from a certain height. Then we record what happens after we do it—the coin comes up heads, we get burned, the marble takes 6 seconds to drop. What we record is called an outcome of the experiment. We identify an experiment by its outcome set, so we can write . = (heads, tails) to denote the coin flip experiment.
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Hilbert Space Basics,uct” between vectors in a vector space and using the inner product to consider angles between vectors. A ‘Hilbert space’ is a vector space with an inner product. We begin by defining an inner product space.
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Maps on Hilbert Spaces,es of the structure. Besides mathematical interest, the functions on Hilbert space that we study in this chapter provide a crucial link to the notion of an “observable physical quantity” in the Hilbert space formulation of quantum mechanics.
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Spectrality, with a Hilbert space . and its projection logic, we defined an observable as a logic-valued function on the real Borel sets. Then through expected values every observable was shown to be associated with a member of . (H), and then every member of . (.) was associated with a Hermitian operator on . by Gleason’s theorem and the spectral theorem.
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Problem Books in Mathematicshttp://image.papertrans.cn/a/image/155281.jpg
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https://doi.org/10.1007/978-1-4613-8841-8Functionals; algebra; development; eigenvalue; experiment; geometry; influence; mathematics; mechanics; momen
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978-1-4613-8843-2Springer-Verlag New York Inc. 1989
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The Logic of Nonclassical Physics,In this chapter we introduce a mathematical formulation for the foundations of quantum physics.
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