theories:quantum_mechanics:canonical
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theories:quantum_mechanics:canonical [2018/05/11 16:01] jakobadmin |
theories:quantum_mechanics:canonical [2018/05/13 09:18] jakobadmin ↷ Links adapted because of a move operation |
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| <tabbox Intuitive> | <tabbox Intuitive> | ||
| + | {{ :theories:quantum_mechanics:wavesqm.png?nolink&400|}} | ||
| - | In quantum mechanics, we no longer describe the trajectories of individual particles but only talk about probabilities that certain events can happen. | + | In quantum mechanics, we no longer describe the trajectories of individual particles but only talk about probabilities that certain events can happen. In the canonical description of quantum mechanics, we calcualate these probabilities using a wave description for the particles. |
| So instead of describing the path between some points $A$ and $B$, we ask instead: "What's the probability that a particle which started at $A$ ends up at $B$?". | So instead of describing the path between some points $A$ and $B$, we ask instead: "What's the probability that a particle which started at $A$ ends up at $B$?". | ||
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| - | The [[equations:canonical_commutation_relations|canonical commutation relations]] | + | The [[formulas:canonical_commutation_relations|canonical commutation relations]] |
| $$ [\hat{p},\hat{x}] = -i \hbar .$$ | $$ [\hat{p},\hat{x}] = -i \hbar .$$ | ||
theories/quantum_mechanics/canonical.txt · Last modified: 2020/04/02 14:39 by 62.178.252.198
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