- #1
Azorspace
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Is it possible to solve the next transcendental equation analytically (obviously for k):
sinh(k)=(b/2)(1+(e^(-2kl)))
making the assumption that (bl >>1). I think that is not possible, but in an article that i found,
they solve it by making that assumption, and they reach to the solution:
E=Eo+(d/2)
where:
E=-2cosh(k), Eo=-{(4+b²)^(1/2)}, and d=(2b²/|Eo|)(e^(-bl))
physically this problem corresponds to that of finding the energy of bound states in an infinite one dimensional regular lattice, with two embedded impurities.
Thanks everybody in advance.
sinh(k)=(b/2)(1+(e^(-2kl)))
making the assumption that (bl >>1). I think that is not possible, but in an article that i found,
they solve it by making that assumption, and they reach to the solution:
E=Eo+(d/2)
where:
E=-2cosh(k), Eo=-{(4+b²)^(1/2)}, and d=(2b²/|Eo|)(e^(-bl))
physically this problem corresponds to that of finding the energy of bound states in an infinite one dimensional regular lattice, with two embedded impurities.
Thanks everybody in advance.