Quantum Mechanics VS Classical Mechanics #quantumphysics

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Quantum Mechanics VS Classical Mechanics - Quantum Mechanics is very different from Classical Mechanics. In Classical Mechanics, we can solve the Newton's Second Law and predict exactly where the particle is going to be the next moment. In Quantum Mechanics however, we can only get a probability of the particle's position.
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if the electron wave function was perfectly coherent and in-phase at all times, it's possible it could behave more like a classical particle with a fixed orbit. However, there are a few key reasons why the electron wave still interferes with itself even when theoretically "in phase":

- Perfect coherence and a completely static, unchanging wave function is impossible due to the Heisenberg uncertainty principle. Any observation or perturbation of the electron, even just its interaction with the nucleus, disturbs the wave.

- As the electron orbits the nucleus, its wave function propagates through varying electromagnetic potentials. This constantly alters the phase and shape of the wave, preventing perfect static coherence.

- Quantum superpositions mean the electron wave function can have multiple overlapping components with differing phases, ensuring self-interference even if some parts are momentarily in phase.

- Electron spin adds another layer of wave-like behavior that ensures self-interference through spin-orbit coupling effects.

- Any real system is open to environmental interactions and perturbations that disturb the electron wave phase over time, from blackbody radiation to quantum vibrations of the nucleus.

So while a perfectly ordered, stationary electron wave may theoretically follow closed orbits, in reality quantum and environmental effects constantly modify the wave function in ways that on average give only probabilistic position distributions rather than fixed trajectories. The self-interfering nature of the electron wave is an inevitable result of its quantum mechanical description.

ts
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Actually F=MA is a special case of Newtons second law

Second law is dP/dt

naufalfarisa.
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without the Schrödinger equation we won't built more advance EUV .  also  quantum mechanic is the on of most improtant equation for all  society, great video

Sausage-ug
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\[ m \frac{d^2 \mathbf{x}}{dt^2} = \mathbf{F}^{(e)} + \mathbf{F}^{(g)} + \mathbf{F}^{(gw)}(\mathbf{x}, t) \cdot \mathbf{h}(\mathbf{x}, t) \]

This equation incorporates electromagnetic and gravitational forces along with the effects of gravitational waves on the particle's motion.

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