termodinàmica del gas cuadrático negativo

(PV)^{2} + (-1)·(kT)·(PV) = (kT)^{2}


T(P,V) = ( ((-1)+5^{(1/2)})/2 )·( 1/k )·PV


P(T,V) = ( (1+5^{(1/2)})/2 )·k·( T/V )
V(T,P) = ( (1+5^{(1/2)})/2 )·k·( T/P )


d_{P}[ T(P,V) ] = ( ((-1)+5^{(1/2)})/2 )·( 1/k )·V
d_{V}[ T(P,V) ] = ( ((-1)+5^{(1/2)})/2 )·( 1/k )·P


d_{T}[ P(T,V) ] = ( (1+5^{(1/2)})/2 )·k·(1/V)
d_{V}[ P(T,V) ] = (-1)·( (1+5^{(1/2)})/2 )·k·( 1/V^{2} )


d_{T}[ V(T,P) ] = ( (1+5^{(1/2)})/2 )·k·(1/P)
d_{P}[ V(T,P) ] = (-1)·( (1+5^{(1/2)})/2 )·k·( 1/P^{2} )