The Quantum-Hamiltonian Approach Viewed Through Systemic Functional Linguistics

Penrose (2004: 578):

Let us return to what has been set out in the preceding two chapters, for the mathematics of a quantum system. The quantum-Hamiltonian approach, which provides us with the Schrödinger equation for the evolution of the quantum state vector, still applies when there are many particles, possibly interacting, possibly spinning, just as well as it did with a single particle without spin. All we need is a suitable Hamiltonian to incorporate all these features. We do not have a separate wavefunction for each particle; instead, we have one state vector, which describes the entire system. In a position-space representation, this single state vector can still be thought of as a wavefunction Ψ, but it would be a function of all the position coordinates of all the particles — so it is really a function on the configuration space of the system of particles…

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From the perspective of Systemic Functional Linguistic Theory, such a wavefunction identifies all the potential position co-ordinates of all the particles: the potential configuration space of particle instantiation.