Position Space - Relation Between Space and Reciprocal Space

Relation Between Space and Reciprocal Space

The momentum representation of a wave function is very closely related to the Fourier transform and the concept of frequency domain. Since a quantum mechanical particle has a frequency proportional to the momentum (de Broglie's equation given above), describing the particle as a sum of its momentum components is equivalent to describing it as a sum of frequency components (i.e. a Fourier transform). This becomes clear when we ask ourselves how we can transform from one representation to another.

Read more about this topic:  Position Space

Famous quotes containing the words relation, space and/or reciprocal:

    Whoever has a keen eye for profits, is blind in relation to his craft.
    Sophocles (497–406/5 B.C.)

    Why not a space flower? Why do we always expect metal ships?
    W.D. Richter (b. 1945)

    Parenting is a profoundly reciprocal process: we, the shapers of our children’s lives, are also being shaped. As we struggle to be parents, we are forced to encounter ourselves; and if we are willing to look at what is happening between us and our children, we may learn how we came to be who we are.
    Augustus Y. Napier (20th century)