Chapter 6: Generalization of the Bohr-Sommerfeld Quantization Rule and Its Application to Quantum Tunneling

In addition to the semiclassical methods that we studied in the previous chapter, there is the well known technique of the Bohr and Sommerfeld which can be applied to solve the problems of one-dimensional quantum tunneling. In this chapter we first discuss the application of this method to investigate the escape of a particle trapped behind a barrier and the approximate determination of the decay width Γ [1]–[4]. Then we show how in the case of a double-well potential, the approximate energies of the low-lying states can be calculated with the help of this method…