Quantum mechanical law of corresponding states
1979
The structure and thermodynamic properties of the quantum liquids 4He and H2 near the liquid-gas critical point are calculated with the effective potential approximation, in which the two-body Slater sum replaces the Boltzmann factor; the statistical mechanics problem is formally equivalent to that of a fictitious classical fluid. Approximate integral equation methods from the theory of classical fluids are then used to calculate the critical point parameters and the radial distribution function g(r). The results from the approximate integral equations are compared both with experimental data and with the results of an exact Monte Carlo calculation for the fictitious fluid for a range of densities at the temperatures 7 and 8 K in 4He and 36 and 40 K in H2.
Keywords:
- Fractional quantum mechanics
- Relation between Schrödinger's equation and the path integral formulation of quantum mechanics
- Quantum dissipation
- Condensed matter physics
- Master equation
- Supersymmetric quantum mechanics
- Schrödinger equation
- Physics
- Quantum mechanics
- Quantum statistical mechanics
- Quantum
- Quantum Monte Carlo
- Statistical mechanics
- Path integral formulation
- Statistical physics
- Classical fluids
- Integral equation
- Boltzmann distribution
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