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Numerical Search for the States with Minimal Dispersion in Quantum Mechanics with Non–negative Quantum Distribution Function

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Numerical Analysis and Its Applications (NAA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3401))

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Abstract

We consider problems of quantum mechanics of Kuryshkin which pass to eigenvalue problem of conventional quantum mechanics when passing to the limit. From the demand of experimental confirmation of the theory’s results are derived linearized equations for eigenstates of observables. The method of solving derived equations is illustrated on an example of hydrogen-like atom, for which were constructed matrices O ij (H) and O ij (H 2). An example of the solution is presented.

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© 2005 Springer-Verlag Berlin Heidelberg

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Zorin, A.V., Sevastianov, L.A., Belomestny, G.A. (2005). Numerical Search for the States with Minimal Dispersion in Quantum Mechanics with Non–negative Quantum Distribution Function. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_75

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  • DOI: https://doi.org/10.1007/978-3-540-31852-1_75

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24937-5

  • Online ISBN: 978-3-540-31852-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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