Now, let's try to answer the question of our previous video that how these two equations are similar.
That is a very famous formula in trigonometry called Ula's Formerly where.
E raised to IEX.
Is equal to Gothics plus I cynic's.
Now, as you see, I have written the two wave equation.
And if I add an imaginary tone.
In the first equation.
Like this, it doesn't impact the output way because.
I is imaginary.
An imaginary part we studied in complex numbers does not have a definite real quantity or value.
Hence, you see both the equations are equal.
If I apply Youlus family over here.
Now, as you see over here, I have written the V equation, eight areas to minus I Omega T minus kicks
over here.
Here is the real vector represented by two pi by Lambda Lambda is the wavelength.
And Omega is equal to angular frequency, too, by by time period, time period is the time in which
the wave repeats itself.
And Waveland is the total length of the VIF.
This is the landmark equation in quantum mechanics called Scrutinizer Equation.
As we know, the total energy, or Hamiltonian, is equal to kinetic energy plus potential energy.
Now, if I multiply, say.
In this equation, both the sides.
And replace all the values derived via a mathematical process, we get this scrutineer equation.
So this equation is used to make a mathematical prediction as to what part a given quantum system will
take over time.
Solving this equation gives the position and momentum of the quantum system.
Hence, Scrutinizer equation in quantum mechanics is the classical equivalent of Newton's law.
Jerse.