Semiclassical Approach & Langer's Modification of Quantization Rules

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Can you advise books about semiclassical approach and corrects in rule of quantization.
I mean \int(p)=n_{r}+\gamma

where \gamma is correct are depended from boundary condition. In basic cases correct is 1/2.
 
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This article by Berry and Mount is the classic:

Berry MV, Mount KE. Semiclassical approximations in wave mechanics. Rep. Prog. Phys. 1972 1;35(1):315-397.
 

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