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Category Archives: Quantum Mechanics
Constellation (TV series) and ManyWorlds Interpretation
There is a new TV series titled Constellation on Apple TV+. The plot so far (I don’t intend to be a spoiler and I don’t actually know much about the plot either because there have been only three episodes) is … Continue reading
Posted in Quantum Mechanics, SciFi
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Square Root of KleinGordon
Replacing $E$ and $p$ by $i\hbar\frac{\partial}{\partial t}$ and $i\hbar\nabla$, respectively, in the energymomentum relation $$E^2=p^2c^2+m_0^2c^4$$ we obtain the KleinGordon operator $$\square=\frac{m_0^2c^2}{\hbar^2},$$ where $$\square=\frac{1}{c^2}\frac{\partial^2}{\partial t^2}+\nabla^2$$ $\square$ is called the d’Alembertian or the wave operator. This time, replacing $E$ and $p$ by … Continue reading
Posted in Quantum Mechanics
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Real Structure, Fundamental Symmetry and Quantum Mechanics
In the standard Hermitian quantum mechanics, the space of states of a quantum mechanical system forms a complex Hilbert space in general. But often the space of states becomes a real vector space. When the space of states is a … Continue reading
Posted in Quantum Mechanics
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Doing Quantum Physics with SplitComplex Numbers
Theory of Photons (Electromagnetism) and WaveParticle Duality of Light Earlier investigations on the nature of light show that, light must be described by electromagnetic waves or by particles (waveparticle duality). de Broglie hypothesized that what is true for photons should … Continue reading
Posted in Quantum Mechanics
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