formalisms
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| There are four big formalisms that are used almost everywhere in modern physics: | There are four big formalisms that are used almost everywhere in modern physics: | ||
| - | * The [[formalisms:hamiltonian_formalism|Hamiltonian Framework]], where we describe the evolution of our system as a trajectory in [[basic_tools:phase_space|phase space]]. | + | * The [[formalisms:hamiltonian_formalism|Hamiltonian formalism]], where we describe the evolution of our system as a trajectory in [[basic_tools:phase_space|phase space]]. |
| - | * The [[formalisms:lagrangian_formalism|Lagrangian Framework]], where we describe the evolution of our system as a trajectory in [[basic_tools:configuration_space|configuration space]]. | + | * The [[formalisms:lagrangian_formalism|Lagrangian formalism]], where we describe the evolution of our system as a trajectory in [[basic_tools:configuration_space|configuration space]]. |
| - | * The Newtonian formalism where we describe the system in terms of trajectories in real space. | + | * The Newtonian formalism where we describe the system in terms of trajectories in everyday space. |
| * The Schrödinger formalism, where we describe the system in terms of abstract vectors living in [[basic_tools:hilbert_space|Hilbert space]]. | * The Schrödinger formalism, where we describe the system in terms of abstract vectors living in [[basic_tools:hilbert_space|Hilbert space]]. | ||
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| ^ | **Classical Mechanics ** | **Quantum Mechanics** | | ^ | **Classical Mechanics ** | **Quantum Mechanics** | | ||
| | **Newtonian Formalism** | [[theories:classical_mechanics:newtonian|Newtonian Mechanics]] | [[theories:quantum_mechanics:bohmian|Bohmian mechanics]] | | | **Newtonian Formalism** | [[theories:classical_mechanics:newtonian|Newtonian Mechanics]] | [[theories:quantum_mechanics:bohmian|Bohmian mechanics]] | | ||
| - | | ** Lagrangian Formalism** | [[theories:classical_mechanics:lagrangian_mechanic|Lagrangian mechanics]] | [[theories:quantum_mechanics:path_integral|Path Integral Quantum Mechanics]] | | + | | ** Lagrangian Formalism** | [[theories:classical_mechanics:lagrangian|Lagrangian mechanics]] | [[theories:quantum_mechanics:path_integral|Path Integral Quantum Mechanics]] | |
| | **Hamiltonian Formalism** | [[theories:classical_mechanics:hamiltonian|Hamiltonian Mechanics]] | [[theories:quantum_mechanics:phase_space|Phase space quantum mechanics]] | | | **Hamiltonian Formalism** | [[theories:classical_mechanics:hamiltonian|Hamiltonian Mechanics]] | [[theories:quantum_mechanics:phase_space|Phase space quantum mechanics]] | | ||
| | **Schrödinger Formalism** | [[theories:classical_mechanics:koopman_von_neumann_mechanics|Koopman-von-Neumann Mechanics]] | [[theories:quantum_mechanics:canonical|Canonical quantum mechanics]] | | | **Schrödinger Formalism** | [[theories:classical_mechanics:koopman_von_neumann_mechanics|Koopman-von-Neumann Mechanics]] | [[theories:quantum_mechanics:canonical|Canonical quantum mechanics]] | | ||
formalisms.txt · Last modified: 2020/04/02 20:08 by 184.147.122.3
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