1970Journal of Mathematical PhysicsRequires access

Exact State and Fugacity Equations for the Ideal Quantum Gases

Michael Martin Nieto

Open publisher page 23 citations

Abstract

The fully relativistic expressions for the density, pressure, and energy density of the ideal quantum gases are solved exactly for the fugacity. This allows the exact, fully relativistic equations of state to be obtained for the ideal Fermi and Bose gases. All these expressions are studied in detail, including a discussion of physical implications and various limiting cases.

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What this paper is about

The fully relativistic expressions for the density, pressure, and energy density of the ideal quantum gases are solved exactly for the fugacity. This allows the exact, fully relativistic equations of state to be obtained for the ideal Fermi and Bose gases. All these expressions are studied in detail, including a discussion of physical implications and various limiting cases.

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Available abstract

The fully relativistic expressions for the density, pressure, and energy density of the ideal quantum gases are solved exactly for the fugacity. This allows the exact, fully relativistic equations of state to be obtained for the ideal Fermi and Bose gases. All these expressions are studied in detail, including a discussion of physical implications and various limiting cases.

Key concepts: Fugacity, Ideal gas, Ideal (ethics), Limiting, Physics, Equation of state, Quantum, Fermi gas

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