I'm a little confused about the electron wavelength in an infinite potential well. It is my understanding that the maximum wavelength that the electron can achieve is 2 times the length of the potential well. As the eigenvalue increases, does the wavelength change? I believe that the wavelength will be λ = 2a/n, with a being the length of the infinite potential well and n being the quantum number, but I'm not completely sure. Any help is appreciated.