Sunday, 10 January 2016

quantum mechanics - Bohr-Sommerfeld quantization from the WKB approximation


How can one prove the Bohr-Sommerfeld quantization formula


p dq = 2πn


from the WKB ansatz solution Ψ(x) = eiS(x)/ for the Schroedinger equation?


With S the action of the particle defined by Hamilton-Jacobi equation



St+(S)22m+V(x) = 0.




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