A particle of mass in moving in one dimension is confined to the region 0 < I < L by an infinite square well potential. In addition, the particle experiences a delta function potential of strengtlh A located at the center of the well (Fig. 1.11). The Schrödinger equation which describes this system is, within the well, + A6 (x – L/2) v (x) = Ep(x), 0 < x < L. !! 2m Vlx) L/2 Fig. 1.11 Find a transcendental equation for the energy eigenvalues E in terms of the mass m, the potential strength A, and the size L of the system.
A particle of mass in moving in one dimension is confined to the region 0 < I < L by an infinite square well potential. In addition, the particle experiences a delta function potential of strengtlh A located at the center of the well (Fig. 1.11). The Schrödinger equation which describes this system is, within the well, + A6 (x – L/2) v (x) = Ep(x), 0 < x < L. !! 2m Vlx) L/2 Fig. 1.11 Find a transcendental equation for the energy eigenvalues E in terms of the mass m, the potential strength A, and the size L of the system.
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Transcribed Image Text:A particle of mass in moving in one dimension is confined to the region
0 < 1 < L by an infinite square well potential. In addition, the particle
experiences a delta function potential of strengtlh A located at the center of
the well (Fig. 1.11). The Schrödinger equation which describes this system
is, within the well,
+ A8 (x – L/2) v (x)
== Ep(x),
0 < x < L.
!!
2m
VIx)
L/2
Fig. 1.11
Find a transcendental equation for the energy eigenvalues E in terms of
the mass m, the potential strength A, and the size L of the system.
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