For b~a, the interaction between the two wells should beapparent. Does it requir

Question

For b~a, the interaction between the two wells should beapparent. Does it require symmetric wavefunction between the twowells? I guess the two wavefunctions should be interacted andsymmetric. And for b>>a, the interaction between wells seem to beinsignificant. Then do we need to connect the two wavefunctiontogether. The wavefunction inside the potential barrier seems to bezero. How about the excited state when the interaction between thetwo wells is very weak? How can we describe the wavefunction indiagram? Thanks For b~a, the interaction between the two wells should beapparent. Does it require symmetric wavefunction between the twowells? I guess the two wavefunctions should be interacted andsymmetric. And for b>>a, the interaction between wells seem to beinsignificant. Then do we need to connect the two wavefunctiontogether. The wavefunction inside the potential barrier seems to bezero. How about the excited state when the interaction between thetwo wells is very weak? How can we describe the wavefunction indiagram? Thanks

Explanation / Answer

Ground state is even.Exponential decay outside, sinusoidal inside the wells, hyperboliccosine inbarrier. First excited state is odd– hyperbolic sine inbarrier. No nodes for 1, one node for2.

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