Important formulae: Engineering physics -1 Quantum Mechanics.

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Formula 1: It is based on the de Broglie concept of Matter Wave.
According to de Broglie hypothesis, we know that 'particle and wave nature are equivalent to each other'.
The waves associated with the moving material particles are called matter waves or de Broglie waves.
For more information, check out my handwritten notes at https://allnotes2020.blogspot.com/2020/06/quantum-mechanics-de-broglie-hypothesis.html
Formula 2: w(omega) is the angular velocity of the wave.
v(nu) is the frequency of the wave.
λ(lambda) is the wavelength of the wave.
angular velocity can be used to calculate the phase velocity of the wave by using the formula velocity(v) = angular velocity / Wave number.
For more information on phase velocity, check out my handwritten notes at https://allnotes2020.blogspot.com/2020/06/importantterms.html
Formula 3: p is the momentum of the particle of mass m traveling in free space.

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Formula 4: This formula can be easily formulated using the equations given in the above image.
Formula 5: This formula is based on Heisenberg's uncertainty principle.
For more information on phase velocity, check out my handwritten notes at https://allnotes2020.blogspot.com/2020/07/quantum-mechanics-heisenbergs.html
Formula 8 and 9: This formula is based on the Schrödinger Equation. For more information on phase velocity, check out my handwritten notes at https://allnotes2020.blogspot.com/2020/07/quantum-mechanics-schrodinger-equation.html
Formula 10: This formula is based on a particle trapped in one dimensional infinite potential well.

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Energy levels in a one-dimensional box are quantized. Since they can have only certain values known as the 'Eigenvalues'

Physics Handwritten Notes