Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum First-Passage Time: Exact Solutions for a Class of Tight-Binding
  Hamiltonian Systems   The Schr\"odinger integral-equation approach for calculating the classical
first-passage time (C-fpt) probability density is extended to the case of
quantum first-passage time (Q-fpt). Using this extension, we have calculated
analytically the Q-fpt probability density for a class of few-site/state
tight-binding Hamiltonian systems, e.g., a qubit, as well as for an infinite 1D
lattice. The defining feature of such a quantum system is that the passage
across the boundary between a subspace (omega) and its complement (omega-bar)
is through a unique pair of "door-way" sites such that the first departure from
(arrival at) omega corresponds to the first arrival at (departure from)
omega-bar. The Q-fpt probability density so derived remains positive over the
time interval in which it also normalizes to unity. These conditions of
positivity and normalization define the physical time domain for the Q-fpt
problem. This time domain is found to remain finite for the few-site/state
Hamiltonian systems considered here, which is quite unlike the case for the
diffusive C-fpt problems. The door-way sites and the associated Q-fpt
probability density derived here should be relevant to
inter-biomolecular/nanostructural electron transport phenomena.

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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: eess