We investigate the GeV-TeV spectrum of cosmic-ray electrons and
positrons from astrophysical sources, especially pulsars and supernova remnants.
First, we find that a continuous injection from a single source
produces a broad peak and a high energy tail above the peak in the
observed electron spectrum, which can constrain the source duration.
As for the case of multiple sources, we find that the average
electron/positron spectrum predicted from nearby pulsars are
consistent with PAMELA, Fermi and H.E.S.S. data. However, the
ATIC/PPB-BETS peak around 500GeV is hard to produce by the sum of
multiple pulsar contributions and requires a single (or a few)
energetic pulsar(s). We also expect a large dispersion in the TeV
spectrum due to the small number of sources, that may cause the high
energy cutoff inferred by H.E.S.S. and potentially provide a
smoking-gun for the astrophysical origin. These spectral diagnostics
can be refined in the near future to discriminate different
astrophysical and dark matter origins.  We also investigate the TeV
spectral features expected from astrophysical electron/positron
sources, which may give us some hints about the sources and
the physics of cosmic-ray escape from a source.