The Quantum Potential: The Missing Interaction in the Density Maximum of He4 at the Lambda Point
American Journal of Physical Chemistry
Volume 2, Issue 6, December 2013, Pages: 122-131
Received: Nov. 21, 2013;
Published: Dec. 10, 2013
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Piero Chiarelli, National Council of Research of Italy, Interdepartmental Center “E.Piaggio” University of Pisa, Area of Pisa, 56124 Pisa, Moruzzi 1, Italy
The lambda point in liquid He4 is a well established phenomenon acknowledged as an example of Bose-Einstain condensation. This is generally accepted, but there are serious discrepancies between the theory and experimental results, namely the lower value of the transition temperature T and the negative value of dT /dP. These discrepancies can be explained in term of the quantum stochastic hydrodynamic analogy (SQHA). The SQHA shows that at the He4IHe4II superfluid transition the quantum coherence length c becomes of order of the distance up to which the wave function of a couple of He4 atoms extends itself. In this case, the He42 state is quantum and the quantum pseudo-potential brings a repulsive interaction that leads to the negative dT /dP behavior. This fact overcomes the difficulty to explain the phenomenon by introducing a Hamiltonian inter-atomic repulsive potential that would obstacle the gas-liquid transition.
The Quantum Potential: The Missing Interaction in the Density Maximum of He4 at the Lambda Point, American Journal of Physical Chemistry.
Vol. 2, No. 6,
2013, pp. 122-131.
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