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THE SCHRÖDINGER EQUATION

Imagine a particle of mass m, constrained to move along the x-axis, subject to some specified force F(x, t). The program of classical mechanics is to deter- mine the position of the particle at any given time: x(t). Once we know that, we can figure out the velocity (\( v=\frac{dx}{dt}\) ), the momentum (p = mv), the kinetic energy ( \( T=\frac{1}{2}mv^2 \) ), or any other dynamical variable of interest. And how do we go about determining x(t)? We apply Newton's second law: F = ma. (For conservative systems the only kind we shall consider, and, fortunately, the only kind that occur at the microscopic level---the force can be expressed as the derivative of a potential energy function, \( F=-\frac{\partial V}{\partial x} \) , and Newton's law reads \( m\frac{d^2x}{dt^2}=-\frac{\partial V}{\partial x} \) .) This, together with appropriate initial conditions (typically the position and velocity at t 0), determines x(t). Quantum mechanics approaches this same problem quite differentl...

Perkembangan Model Atom, Soal -soal dan pembahasan.

1. Model Atom Dalton - Atom adalah partikel-partikel kecil yang menyusun materi atau zat. - Atom adalah partikel terkecil dari suatu zat atau materi sehingga tidak dapat dibagi lagi. - Atom mempunyai sifat yang sama atau identik untuk unsur tertentu. - Atom akan berikatan untuk membentuk suatu molekul. 2. Model Atom Thomson - Atom terdiri dari materi yang pejal bermuatan positif dan dikelilingi muatan-muatan negatif (seperti roti kismis, dengan kismis sebagai muatan negatifnya). - Atom bersifat netral.