Pressure Excitation and Ionisation:a Simple One-Dimensional Example

In interiors of celestial objects matter is subdued to extremely high values of pressure.Theoretical analysis of the behaviour of atoms and molecules under high pressure is a complex quantum mechanical and statistical problem. The aim of the present letter is to demonstrate, on a known one-dimensional quantum mechanical system, the reality of excitation and ultimately ionisation of atoms and/or molecules under the influence of high external pressure.