theories:quantum_mechanics:canonical
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theories:quantum_mechanics:canonical [2018/05/11 16:01] jakobadmin |
theories:quantum_mechanics:canonical [2018/05/21 11:09] jakobadmin [Abstract] |
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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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| * Modern Quantum Mechanics by Jun John Sakurai | * Modern Quantum Mechanics by Jun John Sakurai | ||
| * The Principles of Quantum Mechanics by Paul Dirac | * The Principles of Quantum Mechanics by Paul Dirac | ||
| - | * Foundations of Quantum Mechanics by Gregory Naber for students who prefer a more mathematical treatment. | ||
| * Nice free lecture notes can be found [[https://www.colorado.edu/physics/phys7270/phys7270_fa16/lecnotes.html|here]]. | * Nice free lecture notes can be found [[https://www.colorado.edu/physics/phys7270/phys7270_fa16/lecnotes.html|here]]. | ||
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| **The best abstract quantum mechanics textbooks are** | **The best abstract quantum mechanics textbooks are** | ||
| + | * Foundations of Quantum Mechanics by Gregory Naber for students who prefer a more mathematical treatment. | ||
| * Quantum Theory: Concepts and Methods by Asher Peres | * Quantum Theory: Concepts and Methods by Asher Peres | ||
| * Quantum Mechanics by L. E. Ballentine | * Quantum Mechanics by L. E. Ballentine | ||
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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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