On the axiomatic problem of quantum mechanics

Recalling history,, the Great American mathematician Feng.Newman(Hungarian, Von Neumann,1903-1957) is the first person to build quantum mechanics on a strictly mathematical basis. 1926years, Feng.Newman first realizes that the state of the quantum system (the so-called "quantum State") can be expressed as the plural infinite-dimensional Hilbert (Hilberta "point" in space, and Newton's classical mechanics confined to the finite dimensional space "The Big Devil", at this time, Feng.Newmanis a at-year-old "little head". Subsequently, in1932years, Feng.Newman for the first time to "axiomatic" quantum mechanics, see "Mathematical Foundations of Quantum Mechanics ".

Quantum systems are complex and often involve multiple particles in a quantum system. According to the principle of quantum mechanics, the observation (or determination) of a quantum system will result in a "definite" state of the whole system. If the system is in a "entangled state", the state of one particle in the system can infer the state of another particle, regardless of where another particle is located. This is the phenomenon of "over-distance sensing".

how to "tangle" a particular quantum system together? This is a very complex practical problem, but there are a lot of solutions. Here, we do not elaborate. Now, we are concerned about the question: that year, Feng . Why does Newman want to "tangle" quantum mechanics with the abstract Hilbert space? In other words, why should quantum mechanics be "embedded" into the Hilbert space? What is Hilbert space? Since quantum mechanics has been "axiomatic" in Hilbert's mathematical space, does quantum mechanics become a branch of modern mathematics? It is true that there is no separation between the number and the rationale.

The question I'm facing right now is, does Hilbert's math space require "science"? In the end can "science"? In this respect, I would like to give a try, please understand the reader.

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On the axiomatic problem of quantum mechanics