Quantum physics is one of the most interesting branches of
physics, which describes atoms and molecules, as well as atomic sub-structure.
Here are some of the formulas related to the very basics of quantum physics,
that you may require frequently.

*De Broglie Wave*
De Broglie Wavelength:

λ = h/p

where, λ- De Broglie
Wavelength, h - Planck's Constant, p is momentum of the particle.

Bragg's Law of Diffraction:

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2a Sin θ = nλ

where

a - Distance between atomic planes

n - Order of Diffraction

θ - Angle of
Diffraction

λ -
Wavelength of incident radiation

Planck Relation

The plank relation gives the connection between energy and
frequency of an electromagnetic wave: E
= hv = hω/2π

where

h is Planck's Constant,

v the frequency of radiation and

ω = 2πv

Uncertainty Principle

Uncertainty principle is the bedrock on which quantum
mechanics is based. It exposes the inherent limitation that nature imposes on
how precisely a physical quantity can be measured. Uncertainty

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relation holds between
any two non-commuting variables. Two of the special uncertainty relations are
given below.

Position-Momentum Uncertainty

What the position-momentum uncertainty relation says is, you
cannot predict where a particle is and how fast it is moving, both, with
arbitrary accuracy. The more precise you are about the position, more uncertain
will you be about the particle's momentum and vice versa. The mathematical
statement of this relation is given as follows: Δx.Δp ≥ h/2π

where Δx is the
uncertainty in position and Δp is the
uncertainty in momentum.

Energy-Time Uncertainty

ALSO READ Fundamental Physical Constants

This is an uncertainty relation between energy and time.
This relation gives rise to some astounding results like, creation of virtual
particles for arbitrarily short periods of time! It is mathematically stated as
follows: ΔE.Δt ≥ h/2π

where ΔE is the
uncertainty in energy and Δt is the
uncertainty in time.

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