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FRACTAL BEHAVIOUR OF QUANTUM PATHS IN STATISTICAL PHYSICS

2000
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Condensed Matter Physics
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The path integral formalism is used to describe the statistical properties of an ideal gas of spinless particles. It is shown that the quantum paths exhibit the same properties in non-relativistic and relativistic domains provided the creation of new particles is avoided. Some quantities associated with the paths are introduced, they have a simple meaning if the quantity β , where β is the reverse of the temperature, is considered as an ordinary time. The relation between the velocity on the

doi:10.5488/cmp.3.3.545
fatcat:45ygvvmv7nb3xlvf6lzt3s2uni