38 citations · 382 across the 75 of their papers we have counts for
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A selfadjoint variant of the time operator
R. de la Madrid, J. M. Isidro
We study the selfadjoint time operator recently constructed by one of the authors. We will show that this time operator must be interpreted as a ``selfadjoint variant'' of the time…
A gauge theory of quantum mechanics
J. M. Isidro, M. A. de Gosson
An Abelian gerbe is constructed over classical phase space. The 2-cocycles defining the gerbe are given by Feynman path integrals whose integrands contain the exponential of the Po…
Moduli of Quanta
J. M. Isidro
The classical phase of the matrix model of 11-dimensional M-theory is complex, infinite-dimensional Hilbert space. As a complex manifold, the latter admits a continuum of nonequiva…
Semiclassical Expansions, the Strong Quantum Limit, and Duality
J. M. Isidro
We show how to complement Feynman's exponential of the action so that it exhibits a Z_2 duality symmetry. The latter illustrates a relativity principle for the notion of quantum ve…
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.…
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…