Delta Potential - Single Delta Potential

Single Delta Potential

The time-independent Schrödinger equation for the wave function ψ(x) of a particle in one dimension in a potential V(x) is

where ħ is the reduced Planck constant and E is the energy of the particle.

The delta potential is the potential

where δ(x) is the Dirac delta function. It is called a delta potential well if λ is negative and a delta potential barrier if λ is positive. The delta has been defined to occur at the origin for simplicity; a shift in the delta function's argument does not change any of the proceeding results.

Read more about this topic:  Delta Potential

Famous quotes containing the words single and/or potential:

    Once we have found ourselves, we must understand how from time to time to lose—and then to find—ourselves once again: assuming, that is, that we are thinkers. For a thinker it is a drawback to be bound to a single person all the time.
    Friedrich Nietzsche (1844–1900)

    Most days I feel like an acrobat high above a crowd out of which my own parents, my in-laws, potential employers, phantoms of “other women who do it” and a thousand faceless eyes stare up.
    —Anonymous Mother. Ourselves and Our Children, by Boston Women’s Health Book Collective, ch. 2 (1978)