Question

what are the possible mathematical expressions of Heisenbergs uncertainty principle?Adii send her my love and you also take care​

Answer 1

Answer:

✩HEISENBERG 'S PRINCIPAL

Heisenberg's uncertainty principle- It states that the position and momentum of microscopic moving particles cannot be determined simultaneously with accuracy or certainty.

Mathematical expression

ΔxxΔΡ>or=4uh

Ax= uncertainty in the position

AP= uncertainty in the momentum

h= Planck's constant.

Answer 2

Answer:

The Heisenberg Uncertainty Principle is a relationship between certain types of physical variables like position and momentum, which roughly states that you can never simultaneously know both variables exactly. Informally, this means that both the position and momentum of a particle in quantum mechanics can never be exactly known.

Mathematically, the Heisenberg uncertainty principle is a lower bound on the product of uncertainties of a pair of conjugate variables. The most well-known expression takes the position and momentum to be the conjugate variables:

Suppose the position of a particle is known to very high precision, so that \sigma_xσx is very small. Then the uncertainty principle shows that \sigma_pσp must be large, i.e. the momentum is not known precisely. Furthermore, neither uncertainty can vanish, so neither position nor momentum can ever be exactly measured.

States that saturate the inequality in the Heisenberg uncertainty principle are called squeezed states, of which coherent states like the photon states in a laser are a subclass.