roadmaps:qm
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| ====== Canonical Quantum Mechanics Roadmap====== | ====== Canonical Quantum Mechanics Roadmap====== | ||
| ~~NOTOC~~ | ~~NOTOC~~ | ||
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| ===== Basics ===== | ===== Basics ===== | ||
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| **Essential Concepts:** | **Essential Concepts:** | ||
| - | * Wave mechanics | + | * [[theories:quantum_mechanics:canonical|Wave mechanics]] |
| * [[equations:schroedinger_equation|Schrödinger equation]] | * [[equations:schroedinger_equation|Schrödinger equation]] | ||
| * [[advanced_tools:expectation_values|Expectation values]] | * [[advanced_tools:expectation_values|Expectation values]] | ||
| - | * Wave packets | + | * [[theories:quantum_theory:interpretations:wave_mechanics|Wave packets]] |
| - | * Quantum operators | + | * [[advanced_notions:quantum_operators|Quantum operators]] |
| * [[advanced_notions:uncertainty_principle|Uncertainty relation]] | * [[advanced_notions:uncertainty_principle|Uncertainty relation]] | ||
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| **Essential Problems:** | **Essential Problems:** | ||
| - | * [[https://physicstravelguide.com/theories/quantum_theory/quantum_mechanics#tab__examples|Particle in a box]] | + | * [[theories:quantum_mechanics:canonical#tab__examples|Particle in a box]] |
| - | * [[https://physicstravelguide.com/theories/quantum_theory/quantum_mechanics#tab__examples|Particle in a potential well]] | + | * [[theories:quantum_mechanics:canonical#tab__examples|Particle in a potential well]] |
| </WRAP> | </WRAP> | ||
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| **Essential Math:** | **Essential Math:** | ||
| * [[advanced_tools:group_theory|Group theory]] | * [[advanced_tools:group_theory|Group theory]] | ||
| - | * Functional analysis | + | * [[advanced_tools:functional_analysis|Functional analysis]] |
| * [[basic_tools:complex_analysis|Complex analysis]], especially complex integration | * [[basic_tools:complex_analysis|Complex analysis]], especially complex integration | ||
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| **Essential Concepts:** | **Essential Concepts:** | ||
| - | * Dirac notation | + | * [[advanced_tools:quantum_mechanics:dirac_notation|Dirac notation]] |
| * [[basic_tools:hilbert_space|Hilbert space]] | * [[basic_tools:hilbert_space|Hilbert space]] | ||
| - | * Angular momentum theory | + | * [[basic_notions:angular_momentum|Angular momentum theory]] |
| * [[basic_notions:spin|Spin]] | * [[basic_notions:spin|Spin]] | ||
| * [[advanced_notions:quantum_field_theory:perturbation_theory|Perturbation theory]] | * [[advanced_notions:quantum_field_theory:perturbation_theory|Perturbation theory]] | ||
| - | * Scattering theory | + | * [[advanced_tools:scattering_theory|Scattering theory]] |
| - | * [[advanced_tools:path_integral|Path integral formulation]] | + | * [[theories:quantum_mechanics:path_integral|Path integral formulation]] |
| </WRAP> | </WRAP> | ||
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| - | * [[models:harmonic_oscillator|Harmonic oscillator]] | + | * [[models:basic_models:harmonic_oscillator|Harmonic oscillator]] |
| - | * Hydrogen atom | + | * [[models:hydrogen_atom|Hydrogen atom]] |
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