38 citations · 382 across the 75 of their papers we have counts for
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Complex Moduli of Physical Quanta
J. M. Isidro
Classical mechanics can be formulated using a symplectic structure on classical phase space, while quantum mechanics requires a complex-differentiable structure on that same space.…
Generalised Complex Geometry and the Planck Cone
J. M. Isidro
Complex geometry and symplectic geometry are mirrors in string theory. The recently developed generalised complex geometry interpolates between the two of them. On the other hand,…
Noncommutative Manifolds from the Higgs Sector of Coincident D-Branes
J. M. Isidro
The Higgs sector of the low-energy physics of n of coincident D-branes contains the necessary elements for constructing noncommutative manifolds. The coordinates orthogonal to the…
Bypassing Pauli's theorem
J. M. Isidro
We define a quantum-mechanical time operator that is selfadjoint and compatible with the energy operator having a spectrum bounded from below. On their common domain, the operators…
A Quantum is a Complex Structure on Classical Phase Space
J. M. Isidro
Duality transformations within the quantum mechanics of a finite number of degrees of freedom can be regarded as the dependence of the notion of a quantum, i.e., an elementary exci…
Quantum States from Tangent Vectors
J. M. Isidro
We argue that tangent vectors to classical phase space give rise to quantum states of the corresponding quantum mechanics. This is established for the case of complex, finite-dimen…