Phase Space Calculations

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Abstract
A new approach is used for the calculation of volumes in phase space, using the saddle point approximation to solve the integrals. Thermodynamic concepts of temperature, free energy, and entropy are used. Results are compared with the nonrelativistic, extreme relativistic, and Fermi approximations. Applications are made to several systems expected (by the Gell-Mann and Pais scheme) to result from collisions usually produced in laboratory. A rough empirical method of calculation is also given.

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