# Quantum Physics

(Redirected from Quantum)

## Quanta

Quantum is a physical quantity that can only has a fixed value of a momentum wave . From De Broglie, matter's wave

$\lambda ={\frac {h}{p}}$ We can see that

$h=p\lambda$ From Planck's measurement h has value

$h=6.626070040(81)\times 10^{-34}\ J\!\cdot \!s$ Quanta is a physical quantity that represent a massless momentum wave


## Characteristics of Quanta

### Wave-Particle Duality

Quanta process Wave-Particle duality

Wave like . $\lambda ={\frac {h}{p}}$ Particle like . $p={\frac {h}{\lambda }}$ ### Quanta's States

Quanta exist in 2 states

Radiant photon at Threshold frequency . $f_{o}={\frac {C}{\lambda _{o}}}$ of a quantum energy $E=hf_{o}$ Non-Radiant photon at frequency greater Threshold frequency . $f_{o}={\frac {C}{\lambda _{o}}}$ of a quantum energy $E=hf$ ### Heiseinberg Uncertainty Priciple

states that

Quanta's energy , Photon , cannot exist in 2 states at the same times


There are 2 states of photons chances to find photon as radiant photon or Non-radiant photon is one half 1/2 which can be expressed mathematically as

$\Delta \lambda \Delta p>{\frac {1}{2}}{\frac {h}{2\pi }}={\frac {h}{4\pi }}={\frac {\hbar }{2}}$ ## Quantum Physics

Experiment shows that electromagnetic wave radiation carries quantum energy

$E=hf_{o}$ at $f_{o}={\frac {C}{\lambda _{o}}}$ of a Radiant photon that produce visible light
$E=hf$ at $f>{\frac {C}{\lambda _{o}}}$ of a Non-Radiant photon that produce electricity made of free electron

This can be deduce from , electromagnetic wave equation

$\nabla ^{2}E=-\omega E$ $\nabla ^{2}E=-\omega B$ Solving equation above, we have electromagnetic function

$E=A\sin \omega t$ $B=A\sin \omega t$ $\omega ={\sqrt {\frac {1}{\mu \epsilon }}}=C=\lambda f$ Electromagnetic wave radiation produces quantum energy travels at speed of light

• Speed . $v={\sqrt {\frac {1}{\mu \epsilon }}}=C=\lambda f$ • Quantum energy . $E=pv=pC=p\lambda f=hf$ • Quantum . $h=p\lambda$ • Wavelength . $\lambda ={\frac {h}{p}}$ • Momentum . $p={\frac {h}{\lambda }}$ ### Atom Decay

Experiment shows that . When atom absorbs electromagnetic radiation quantum energy . Electron of atom is released from atom going out off atom . When atom releases electromagnetic radiation quantum energy . Electron of atom is released from atom going inside atom

Free electron going out of atom

$hf=hf_{o}+{\frac {1}{2}}mv^{2}$ $v={\sqrt {{\frac {2}{m}}(hf-hf_{o})}}={\sqrt {{\frac {2}{m}}(nhf_{o})}}$ Free electron going inside of atom

$nhf=mvr2\pi$ $r={\frac {1}{2\pi }}{\frac {nhf}{mv}}$ $v={\frac {1}{2\pi }}{\frac {nhf}{mr}}$ $n=2\pi {\frac {mv}{hf}}$ ### Matter Decay

Alpha decay unstable radioactive material decays to become more stable . This type of decay releases Relative mass and Alpha photon travels at a speed relative to speed of light

$m=m_{o}(\gamma -1)$ $v=\gamma ={\sqrt {1-{\frac {v^{2}}{C^{2}}}}}$ Beta decay unstable isotope material decays to become more stable . This type of decay releases Relative mass and Beta photon travels at a speed equals to speed of light

$f_{o}={\frac {C}{\lambda _{o}}}$ $E=hf_{o}$ $h=p\lambda _{o}$ Gamma decay collision of electron . This type of decay releases Relative mass and Gamma photon travels at a speed equals to speed of light