Correction to ‘A doubly anharmonic oscillator in an induced electric dipole system’

Proc. R. Soc. A 474, 20170881 (Published online 5 September 2018). (doi:10.1098/rspa.2017.0881)

List of corrections in the article:

• 1.
  The parameter λ in equation (2.7) should read

  $$\mathrm{\lambda }=m\hspace{0.17em}\mathit{\Omega }\hspace{0.17em}\sqrt{\frac{2}{m\omega }}.$$ 1
• 2.
  Equation (2.13) should read

  $${\omega }_{1,\hspace{0.17em}l}=\frac{m\hspace{0.17em}{\mathit{\Omega }}^2}{2(\left|l\right|+l+4)}.$$ 2
• 3.
  Equation (2.14) should read

  $$B_0^{1,\hspace{0.17em}l}=\frac{m^2\hspace{0.17em}{\mathit{\Omega }}^2}{2\hspace{0.17em}\alpha \hspace{0.17em}\mu (\left|l\right|+l+4)}.$$ 3
• 4.
  Equation (2.15) should read

  $$\begin{array}{rl}& {\beta }_{1,\hspace{0.17em}l}^2+2m\mathit{\Omega }(\left|l\right|+2){\beta }_{1,\hspace{0.17em}l}+m^2{\mathit{\Omega }}^2(\left|l\right|+3)(\left|l\right|+1)\\ & -4m{\omega }_{1,\hspace{0.17em}l}(1+\left|l\right|)=0.\end{array}$$ 4
• 5.
  Equation (2.16) should read

  $$\begin{array}{rl}& {\mathcal{E}}_{1,\hspace{0.17em}l,\hspace{0.17em}k}=-\mathit{\Omega }\hspace{0.17em}l+\frac{\mathit{\Omega }(\left|l\right|+2)}{2}\\ & \{-1\pm \sqrt{1-\frac{(\left|l\right|+3)(\left|l\right|+1)(\left|l\right|+l+4)-2(1+\left|l\right|)}{(\left|l\right|+l+4){(\left|l\right|+2)}^2}}\}\\ & +\frac{k^2}{2m}.\end{array}$$ 5

We claim that these corrections do not affect the physical conclusion of the paper.