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 Math:** | **Essential Math:** | ||
| - | * Linear Algebra | + | * [[basic_tools:linear_algebra|Linear Algebra]] |
| - | * Vector Calculus | + | * [[basic_tools:vector_calculus|Vector Calculus]] |
| - | * Differential Equations | + | * [[basic_tools:differential_equation|Differential Equations]] |
| - | * Probability Theory | + | * [[basic_tools:probability|Probability Theory]] |
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| **Essential Concepts:** | **Essential Concepts:** | ||
| - | * Wave mechanics | + | * [[theories:quantum_mechanics:canonical|Wave mechanics]] |
| - | * Schrödinger equation | + | * [[equations:schroedinger_equation|Schrödinger equation]] |
| - | * Expectation value | + | * [[advanced_tools:expectation_values|Expectation values]] |
| - | * Wave packets | + | * [[theories:quantum_theory:interpretations:wave_mechanics|Wave packets]] |
| - | * Quantum operators | + | * [[advanced_notions:quantum_operators|Quantum operators]] |
| - | * Uncertainty relation | + | * [[advanced_notions:uncertainty_principle|Uncertainty relation]] |
| </WRAP> | </WRAP> | ||
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| **Essential Experiments:** | **Essential Experiments:** | ||
| - | * Double slit experiment | + | * [[experiments:double_slit_experiment|Double-slit experiment]] |
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| **Essential Problems:** | **Essential Problems:** | ||
| - | * Particle in a box | + | * [[theories:quantum_mechanics:canonical#tab__examples|Particle in a box]] |
| - | * 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:** | ||
| - | * Group theory | + | * [[advanced_tools:group_theory|Group theory]] |
| - | * Functional analysis | + | * [[advanced_tools:functional_analysis|Functional analysis]] |
| - | * Complex analysis, especially complex integration | + | * [[basic_tools:complex_analysis|Complex analysis]], especially complex integration |
| </WRAP> | </WRAP> | ||
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| **Essential Concepts:** | **Essential Concepts:** | ||
| - | * Dirac notation | + | * [[advanced_tools:quantum_mechanics:dirac_notation|Dirac notation]] |
| - | * Hilbert space | + | * [[basic_tools:hilbert_space|Hilbert space]] |
| - | * Angular momentum theory | + | * [[basic_notions:angular_momentum|Angular momentum theory]] |
| - | * Spin | + | * [[basic_notions:spin|Spin]] |
| - | * Perturbation theory | + | * [[advanced_notions:quantum_field_theory:perturbation_theory|Perturbation theory]] |
| - | * Scattering theory | + | * [[advanced_tools:scattering_theory|Scattering theory]] |
| - | * Path integral formulation | + | * [[theories:quantum_mechanics:path_integral|Path integral formulation]] |
| </WRAP> | </WRAP> | ||
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| **Essential Experiments:** | **Essential Experiments:** | ||
| - | * Stern-Gerlach experiment | + | * [[experiments:stern-gerlach|Stern-Gerlach experiment]] |
| - | * Aharonov-Bohm experiment | + | * [[experiments:aharonov-bohm|Aharonov-Bohm experiment]] |
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| - | * Harmonic oscillator | + | * [[models:basic_models:harmonic_oscillator|Harmonic oscillator]] |
| - | * Hydrogen atom | + | * [[models:hydrogen_atom|Hydrogen atom]] |
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