With an appropriate change of variable and function, find the general solution of the Schr dinger equation in a time-dependent electric field

Hint: See the paper by [Feng (2001)].

Find the energy eigenvalues of a particle in a one-dimensional box submitted to an electric field V( x) = Fx. See Fig. 8.12 (a).

Figure 8.12: (a) Particle in a box submitted to an electric field. (b) Particle in a square well submitted to an electric field.

Quantum wells formed in semiconductor heterostructures, have been given considerable theoretical consideration for their optical device applications. A simple model of tunneling in such devices, is the study of the energy spectrum of a particle in a square well submitted to an electric field V( x) = Fx. See Fig. 8.12 (b). Hint: For further discussion, see the following paper [Panda & Panda (2001)].