A nonrelativistic particle of mass m undergoes one-dimensional motion in the potential V (1) = -g|6(x – a) + 8 (x + a)| %3D where g > 0 is a constant and 6 (x) is the Dirac delta function. Find the round-state energy cigenfunction and obtain an equation which relates the I'orresponding energy eigenvalue to the constant g.

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A nonrelativistic particle of mass m undergoes one-dimensional motion
in the potential
V (1) = -g|6(x – a) + d (x + a)]
whhere g >0 is a constant and 6 (x) is the Dirac: delta function. Find the
round-state energy eigenfunction and obtain an equation which relates the
I'orresponding energy eigenvalue to the constant g.
Transcribed Image Text:A nonrelativistic particle of mass m undergoes one-dimensional motion in the potential V (1) = -g|6(x – a) + d (x + a)] whhere g >0 is a constant and 6 (x) is the Dirac: delta function. Find the round-state energy eigenfunction and obtain an equation which relates the I'orresponding energy eigenvalue to the constant g.
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