  Quantum escapes of a particle from an end of a one-dimensional finite region
to $N$ number of semi-infinite leads are discussed by a scattering theoretical
approach. Depending on a potential barrier amplitude at the junction, the
probability $P(t)$ for a particle to remain in the finite region at time $t$
shows two different decay behaviors after a long time; one is proportional to
$N^{2}/t^{3}$ and another is proportional to $1/(N^{2}t)$. In addition, the
velocity $V(t)$ for a particle to leave from the finite region, defined from a
probability current of the particle position, decays in power $\sim 1/t$
asymptotically in time, independently of the number $N$ of leads and the
initial wave function, etc. For a finite time, the probability $P(t)$ decays
exponentially in time with a smaller decay rate for more number $N$ of leads,
and the velocity $V(t)$ shows a time-oscillation whose amplitude is larger for
more number $N$ of leads. Particle escapes from the both ends of a finite
region to multiple leads are also discussed by using a different boundary
condition.
