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Journal of Energy Resources Technology-Transactions of The ASME, Vol.125, No.1, 1-8, 2003
Quantum-theoretic shapes of constituents of systems in various states
In previous publications, it has been shown that entropy is a measure of the quantum-theoretic shape of the constituents of a system. In this paper we present examples of quantum-theoretic shapes of some systems each consisting of one unit of a single constituent, in either a stable (thermodynamic) equilibrium state or in states that are not stable equilibrium. The systems that we consider are a structureless particle confined in either a linear box or a square box, and a harmonic oscillator In general, we find that the shape of each constituent is "smooth"-without ripples-for each thermodynamic equilibrium state, and oscillatory or rippled for states that are either nonequilibrium or unstable equilibrium.