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advanced_tools:quantization [2018/05/05 12:38] jakobadmin ↷ Links adapted because of a move operation |
advanced_tools:quantization [2018/05/05 17:00] jakobadmin [Intuitive] |
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- | {{ :advanced_tools:quantization-box.png?nolink&400|}} | ||
- | The thing is, no matter how the two hands try to make the rope vibrate, the rope will only vibrate with a quantized set of modes. The two hands fix the rope at both ends. As a result of this constraint, the rope can only vibrate with fixed frequencies. The frequencies between this fixed set of frequencies are physically impossible. | + | |
+ | The thing is, no matter how the two hands try to make the rope vibrate, the rope will only vibrate with a quantized set of modes. The two hands fix the rope at both ends. As a result of this constraint, the rope can only vibrate with fixed frequencies. The frequencies between this fixed set of frequencies are physically impossible: | ||
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+ | {{ :advanced_tools:quantizationnot.png?nolink&400 |}} | ||
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+ | {{ :advanced_tools:quantization-box.png?nolink&400|}} | ||
The same thing now happens also in [[theories:quantum_mechanics|quantum mechanics]]. | The same thing now happens also in [[theories:quantum_mechanics|quantum mechanics]]. | ||
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just the condition for constructive interference of the phases of waves | just the condition for constructive interference of the phases of waves | ||
differing slightly in the parameter E. The procedure based on Hamilton-Jacobi | differing slightly in the parameter E. The procedure based on Hamilton-Jacobi | ||
- | theory works in [[theories:classical_mechanics:newtonian_mechanics|classical mechanics]] because it is supported by the | + | theory works in [[theories:classical_mechanics:newtonian|classical mechanics]] because it is supported by the |
[[equations:schroedinger_equation|Schrodinger equation]]" | [[equations:schroedinger_equation|Schrodinger equation]]" | ||