426 citations · 1.2k across the 52 of their papers we have counts for
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chao-dyn1993★ 5 cited
An Entire Spectral Determinant for Semiclassical Quantization
Gabor Vattay
We show that the eigenvalues of the first order partial differential equation derived by quasi-classical approximation of the Schrödinger equation can be computed from the trace of…
chao-dyn1993★ 37 cited
A Fredholm Determinant for Semi-classical Quantization
Predrag Cvitanović, Per E. Rosenqvist, Gábor Vattay +1
We investigate a new type of approximation to quantum determinants, the ``\qFd", and test numerically the conjecture that for Axiom A hyperbolic flows such determinants have a larg…
chao-dyn1993★ 9 cited
Advection of vector fields by chaotic flows
N. J. BALMFORTH, P. CVITANOVIC, G. R. IERLEY +2
We have introduced a new transfer operator for chaotic flows whose leading eigenvalue yields the dynamo rate of the fast kinematic dynamo and applied cycle expansion of the Fredhol…