How to find number of bound states with the help of given potential?
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In quantum physics , a bound state is a
special quantum state of a particle subject
to a potential such that the particle has a
tendency to remain localised in one or more
regions of space. The potential may be
external or it may be the result of the
presence of another particle; in the latter
case, one can equivalently define a bound
state as a state representing two or more
particles whose interaction energy exceeds
the total energy of each separate particle.
One consequence is that, given a potential
vanishing at infinity, negative energy states
must be bound. In general, the energy
spectrum of the set of bound states is
discrete, unlike free particles, which have a
continuous spectrum.
Although not bound states in the strict
sense, metastable states with a net positive
interaction energy, but long decay time, are
often considered unstable bound states as
well, and are called "quasi-bound
states." [1] Examples include certain
radionuclides and
electrets . [clarification needed ]
[ citation needed ]
In relativistic quantum field theory, a stable
bound state of n particles with masses
corresponds to a pole in the S-
matrix with a center-of-mass energy less
than . An unstable bound state
shows up as a pole with a complex center-
of-mass energy.
In quantum physics , a bound state is a
special quantum state of a particle subject
to a potential such that the particle has a
tendency to remain localised in one or more
regions of space. The potential may be
external or it may be the result of the
presence of another particle; in the latter
case, one can equivalently define a bound
state as a state representing two or more
particles whose interaction energy exceeds
the total energy of each separate particle.
One consequence is that, given a potential
vanishing at infinity, negative energy states
must be bound. In general, the energy
spectrum of the set of bound states is
discrete, unlike free particles, which have a
continuous spectrum.
Although not bound states in the strict
sense, metastable states with a net positive
interaction energy, but long decay time, are
often considered unstable bound states as
well, and are called "quasi-bound
states." [1] Examples include certain
radionuclides and
electrets . [clarification needed ]
[ citation needed ]
In relativistic quantum field theory, a stable
bound state of n particles with masses
corresponds to a pole in the S-
matrix with a center-of-mass energy less
than . An unstable bound state
shows up as a pole with a complex center-
of-mass energy.
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