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Category Archives: 03 One dimensional systems
The Wave Function Exercises 01
Exercise 1 Calculating for each 14 15 16 22 24 25 Hence for the variance it follows Hence the standard deviation is And for the standard deviation it is Which confirms the second equation for the standard deviation. Exercise 2 … Continue reading
Posted in 03 One dimensional systems, 03 Physics, 03 Quantum Mechanics
Tagged mathematics, Physics, probability, statistics
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Time-independent Schrodinger equation 02
— 29. The infinite square well — Imagine a situation where a projectile is confined to a one dimensional movement and bounces off two infinitely rigid walls while conserving kinetic energy. This situation can be modeled by the following potential: … Continue reading
Time-independent Schrodinger equation 01
— 28. Stationary states — In the previous posts we’ve normalized wave functions and we’ve calculated expectation values of momenta and positions but never at any point we’ve made a quite logical question: How does one calculate the wave function … Continue reading
Posted in 03 One dimensional systems, 03 Physics, 03 Quantum Mechanics
Tagged math, mathematics, maths, Physics, probability
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The Wave Function 05
— 27.6. The Uncertainty Principle — Imagine that we are holding a rope at that the rope is tied at the end to brick wall. If we suddenly jerks the rope it would cause a pulse formation that would travel … Continue reading
The Wave Function 04
— 27.5. Momentum and other Dynamical quantities — Let us suppose that we have a particle that is described by the wave function then the expectation value of its position is (as we saw in The Wave Function 02 ): … Continue reading
Posted in 03 One dimensional systems, 03 Physics, 03 Quantum Mechanics
Tagged math, mathematics, Physics, Quantum Mechanics
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From Suits to Spectra 