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- W2002149254 abstract "We present a new formulation of conventional quantum mechanics, in which the notion of a quantum state is identified via a fair probability distribution of the position measured in a reference frame of the phase space with rotated axes. In this formulation, the quantum evolution equation as well as the equation for finding energy levels are expressed as linear equations for the probability distributions that determine the quantum states. We also give the integral transforms relating the probability distribution (called the tomographic-probability distribution or the state tomogram) to the density matrix and the Wigner function and discuss their connection with the Radon transform. Qudit states are considered and the invertible map of the state density operators onto the probability vectors is discussed. The tomographic entropies and entropic uncertainty relations are reviewed. We demonstrate the uncertainty relations for the position and momentum and the entropic uncertainty relations in the tomographic-probability representation, which is suitable for an experimental check of the uncertainty relations." @default.
- W2002149254 created "2016-06-24" @default.
- W2002149254 creator A5056505887 @default.
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- W2002149254 date "2012-08-24" @default.
- W2002149254 modified "2023-09-26" @default.
- W2002149254 title "The probability representation as a new formulation of quantum mechanics" @default.
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- W2002149254 doi "https://doi.org/10.1088/1742-6596/380/1/012005" @default.
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