Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The probability for wave packet to remain in a disordered cavity   We show that the probability that a wave packet will remain in a disordered
cavity until the time $t$ decreases exponentially for times shorter than the
Heisenberg time and log-normally for times much longer than the Heisenberg
time. Our result is equivalent to the known result for time-dependent
conductance; in particular, it is independent of the dimensionality of the
cavity. We perform non-perturbative ensemble averaging over disorder by making
use of field theory. We make use of a one-mode approximation which also gives
an interpolation formula (arccosh-normal distribution) for the probability to
remain. We have checked that the optimal fluctuation method gives the same
result for the particular geometry which we have chosen. We also show that the
probability to remain does not relate simply to the form-factor of the delay
time. Finally, we give an interpretation of the result in terms of path
integrals. PACS numbers: 73.23.-b, 03.65.Nk

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The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom