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Results tagged with quantum-mechanics
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user 333944
Quantum mechanics describes the microscopic properties of nature in a regime where classical mechanics no longer applies. It explains phenomena such as the wave-particle duality, quantization of energy, and the uncertainty principle and is generally used in single-body systems. Use the quantum-field-theory tag for the theory of many-body quantum-mechanical systems.
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Where does this time-dependent wavefunction of $\Psi(x,t)= \sum_{n=1}^\infty \psi_n(x)\exp(\...
I was reading this blog post on simulating the probability desnity of the Schrodinger equation but there was one equation that I could not quite understand.
Firstly, defining
$$V(x) = \begin{cases} 0 …
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Visualising the time dependent 2d schrodinger equation
It turns out my intuition is correct because of the orthogonalality of the wave function and the way the kronecker delta “kills” the terms in a sum. As long as you can solve the time independent wave …
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Visualising the time dependent 2d schrodinger equation
So I managed to visualise the 1d schrodinger equation using the following algorithm: First solving the time independent schrodinger equation (1d) for the particle in a box potential,
$$\psi_n(x) = \sq …
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