Standard quantum mechanics featuring probabilities instead of wave functions |
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Authors: | V I Manko O V Manko |
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Institution: | (1) Lebedev Institute of Physics, Russian Academy of Sciences, Leninskiĭ pr. 53, Moscow, 119991, Russia |
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Abstract: | A new formulation of quantum mechanics (probability representation) is discussed. In this representation, a quantum state is described by a standard positive definite probability distribution (tomogram) rather than by a wave function. An unambiguous relation (analog of Radon transformation) between the density operator and a tomogram is constructed both for continuous coordinates and for spin variables. A novel feature of a state, tomographic entropy, is considered, and its connection with von Neumann entropy is discussed. A one-to-one map of quantum observables (Hermitian operators) on positive probability distributions is found. |
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