proof LAMDA is equal to h by p

1.	proof LAMDA is equal to h by p
Answer» De Broglie first used Einstein's famous equation relating matter and energy, E=mc2,E=mc2, whereE=E=energy,m=m=mass,c=c=speed of light. Using Planck's theory which states every quantum of a wave has a discrete amount of energy given by Planck's equation, E=hν,E=hν, whereE=E=energy,h=h=Plank's constant (6.62607×10−34Js6.62607×10−34Js),ν=ν=frequency. Since de Broglie believes particles and wave have the same traits, the two energies would be the same: mc2=hν.mc2=hν. Because real particles do not travel at the speed of light, de Broglie substitutedvv, velocity, forcc, the speed of light: mv2=hν.mv2=hν. I want a direct proof without substitutingvvforcc. Is it possible to prove directlyλ=h/mvλ=h/mvwithout substitutingvvforccin the equationλ=h/mcλ=h/mc? good answer right away and

Answer»

De Broglie first used Einstein's famous equation relating matter and energy,

E=mc2,E=mc2,

whereE=E=energy,m=m=mass,c=c=speed of light.

Using Planck's theory which states every quantum of a wave has a discrete amount of energy given by Planck's equation,

E=hν,E=hν,

whereE=E=energy,h=h=Plank's constant (6.62607×10−34Js6.62607×10−34Js),ν=ν=frequency.

Since de Broglie believes particles and wave have the same traits, the two energies would be the same:

mc2=hν.mc2=hν.

Because real particles do not travel at the speed of light, de Broglie substitutedvv, velocity, forcc, the speed of light:

mv2=hν.mv2=hν.

I want a direct proof without substitutingvvforcc. Is it possible to prove directlyλ=h/mvλ=h/mvwithout substitutingvvforccin the equationλ=h/mcλ=h/mc?

good answer right away and

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