From quartic anharmonic oscillator to double well potential

Alexander V. Turbiner, J. C. del Valle

It is already known that the quantum quartic single-well anharmonic oscillator $V_{ao}(x)=x^2+g^2{x}^4$ and double-well anharmonic oscillator $V_{dw}(x)=x^2(1-gx{)}^2$ are essentia…