11-14 June 2019
Le Bois-Marie
Europe/Paris timezone

Resurgent Theta-functions: a Conjectured Gateway into Dimension D>1 Quantum Mechanics

12 Jun 2019, 10:00
Centre de Conférences Marilyn et James Simons (Le Bois-Marie)

Centre de Conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette


André Voros (IPhT - CEA Saclay - CNRS)


Resurgent analysis of the stationary Schrödinger equation (exact-WKB method) has remained exclusively confined to 1D systems due to its underlying linear-ODE techniques.
Here, building on a solvable 2D case (a Selberg trace formula, as analyzed with P. Cartier), and on a Balian--Bloch abstract quantum framework in any dimension using complex orbits, we isolate a very special generalized-heat-trace function as best candidate to start some resurgent description of quantum mechanics in general dimension.
The latter statement is still quite embryonic and speculative - our main hope is to encourage future research.

Primary author

André Voros (IPhT - CEA Saclay - CNRS)

Presentation Materials