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- Mamontov, Eugen, 1955, et al.
(författare)
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The nonzero minimum of the diffusion parameter and the uncertainty principle for a Brownian particle
- 2002
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Ingår i: Modern physics letters B. - : World Scientific. - 0217-9849. ; 16:13, s. 467-471
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Tidskriftsartikel (refereegranskat)abstract
- The limits of applicability of many classical (non-quantum-mechanical) theories are not sharp. These theories axe sometimes applied to the problems which axe, in their nature, not very well suited for that. Two of the most widely used classical approaches are the theory of diffusion stochastic process and Itos stochastic differential equations. It includes the Brownian-motion treatment as the basic particular case. The present work shows that, for quantum-mechanical reasons, the diffusion parameter of a Brownian paxticle cannot be arbitrarily small since it has a nonzero minimum value. This fact leads to the version of Heisenbergs uncertainty principle for a Brownian particle which is obtained in the precise mathematical form of a limit inequality. These quantitative results can help to,properly apply the theories associated with Brownian-particle modelling. The consideration also discusses a series of works of other authors.
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- Vennila, R S, et al.
(författare)
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High pressure electrical resistivity of composition controlled Nd-123 based bulk material
- 2004
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Ingår i: Modern physics letters B. - 0217-9849. ; 18:1, s. 27-33
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Tidskriftsartikel (refereegranskat)abstract
- High pressure electrical resistivity studies were carried out on the high temperature superconductor Nd1-xCaxBa2Cu3O7-delta for various calcium concentrations x = 0.00, 0.03, 0.06 and 0.10 obtained by the solid-state reaction method. The electrical resistivity study was performed using the four-probe technique with a Bridgman opposed anvil device. All four samples show an initial drastic fall in electrical resistivity up to a pressure of around 3 GPa that remains almost constant up to 8 GPa.
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