A single real field obeying a second-order equation is dynamically equivalent to Schrödinger's equation but is not locally complete: the missing imaginary part must be restored as a canonical momentum, and the resulting real phase-space formulation is exactly the complex theory in real coordinates.
Complex coordinates and quantum mechanics
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
quant-ph 1years
2026 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Schr\"odinger's real-valued equation revisited
A single real field obeying a second-order equation is dynamically equivalent to Schrödinger's equation but is not locally complete: the missing imaginary part must be restored as a canonical momentum, and the resulting real phase-space formulation is exactly the complex theory in real coordinates.