Duality ofxandψand a Statistical Interpretation of Space in Quantum Mechanics
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چکیده
منابع مشابه
Duality of x and ψ and a Statistical Interpretation of Space in Quantum Mechanics
We introduce a “prepotential” F in quantum mechanics and show that the coordinate x is proportional to the Legendre transform of F with respect to the probability density. Inversion of the Schrödinger equation leads us to consider a x–ψ duality related to a modular symmetry. The scaling of x is determined by the “beta–function”, suggesting that in quantum mechanics the space coordinate is a mac...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1997
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.78.163