Derive Schrodinger's wave equation for a particle in a box. Solve it to obtain Eigen function and show that Eigen values are discrete
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♥-The Schrödinger equation is a linear partial differential equation that describes the wave function or state function of a quantum-mechanical system. ... The concept of a wave function is a fundamental postulate of quantum mechanics; the wave function defines the state of the system at each spatial position, and time.
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Some trajectories of a particle in a box according to Newton's laws of classical mechanics (A), and according to the Schrödinger equation of quantum mechanics (B–F). In (B–F), the horizontal axis is position, and the vertical axis is the real part (blue) and imaginary part (red) of the wavefunction.
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