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models [2018/05/05 12:04]
jakobadmin [Overview]
models [2022/09/07 20:06]
147.92.69.196 [Overview]
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 ||||| || |)@4 |-  |- |-|.@4 | | | | ||||| || |)@4 |-  |- |-|.@4 | | | |
 ||| AA|-@8|CC||BB |AA=[[models:​standard_model:​qed|Quantum Electrodynamics]]|BB=[[models:​standard_model:​qcd|Quantum Chromodynamics]]|CC=[[models:​standard_model:​electroweak|Electroweak Model]] ||| AA|-@8|CC||BB |AA=[[models:​standard_model:​qed|Quantum Electrodynamics]]|BB=[[models:​standard_model:​qcd|Quantum Chromodynamics]]|CC=[[models:​standard_model:​electroweak|Electroweak Model]]
-||||!@4||||!@4||||!@4||||+||||:@4||||:@4||||:@4||||
 |||CC||BB|| AA|| |AA=[[models:​toy_models:​sine_gordon|Sine-Gordon Model]]|BB=[[models:​toy_models:​scalar_1plus1]]|CC=[[models:​toy_models:​schwinger_model]] |||CC||BB|| AA|| |AA=[[models:​toy_models:​sine_gordon|Sine-Gordon Model]]|BB=[[models:​toy_models:​scalar_1plus1]]|CC=[[models:​toy_models:​schwinger_model]]
-||||||||!@4||||!@4||||+||||||||:@4||||:@4||||
 |||||||BB|| AA|| |AA=[[models:​basic_models:​pendulum|Pendulum]]|BB=[[models:​basic_models:​harmonic_oscillator|Harmonic Oscillator]]| |||||||BB|| AA|| |AA=[[models:​basic_models:​pendulum|Pendulum]]|BB=[[models:​basic_models:​harmonic_oscillator|Harmonic Oscillator]]|
 </​diagram>​ </​diagram>​
  
 +The best model for the behaviour and interactions of [[advanced_notions:​elementary_particles|elementary particles]] is known as the [[models:​standard_model]]. It consists of [[models:​standard_model:​qcd|Quantum Chromodynamics]],​ which describes strong interactions,​ and the [[models:​standard_model:​electroweak|Electroweak Model]], which describes electroweak interactions. A crucial part of the [[models:​standard_model:​electroweak|Electroweak Model]] is [[models:​standard_model:​qed|Quantum Electrodynamics]].
  
 +**Newtonian Model Types**
 +  * Particle
 +  * Rigid Body
 +  * Elastic Solid
 +  * Ideal Fluid
 +  * Ideal Gas
 +
 +   * [[https://​geocalc.clas.asu.edu/​pdf/​ModelingGameswFig2.pdf| Modeling Games in the Newtonian World]] by David Hestenes
 +   
 ---- ----
  
  
-Some models are not intended to describe nature accurately. Instead, they are **toy models**. Toy models are //​theoretical laboratories//​ that help us to understand aspects of more complicated theories in a simplified setup.+Some models are not intended to describe nature accurately. Instead, they are **toy models**. Toy models are //​theoretical laboratories//​ that help us to understand aspects of more complicated theories in a simplified setup. ​Examples are
  
-The simplest kind of toy models where we have essentially isolated one crucial ​degree of freedom are called **basic models**. Examples for basic models are+  * [[models:​toy_models:​sine_gordon|the Sine-Gordon Model]] 
 +  * [[models:​toy_models:​scalar_1plus1|the Scalar 1+1 Model]] 
 +  * [[models:​toy_models:​schwinger_model|the Schwinger Model]]. 
 + 
 +The simplest kind of toy models where we have essentially isolated one elementary ​degree of freedom are called **basic models**. Examples for basic models are
  
   * [[models:​basic_models:​pendulum|the Pendulum]],   * [[models:​basic_models:​pendulum|the Pendulum]],
-  * [[models:​basic_models:​harmonic_oscillator|the Harmonic Oscillator]]+  * [[models:​basic_models:​harmonic_oscillator|the Harmonic Oscillator]].
  
 ---- ----
  
-It is convenient to define a model in terms of a [[formalisms:​lagrangian_formalism|Lagrangian]]. However, there are models that cannot be described in terms of a Lagrangian.+**Definition of a Model** 
 + 
 +It is convenient to define a model in terms of a [[formalisms:​lagrangian_formalism|Lagrangian]]. However, there are models that cannot be described in terms of a Lagrangian((http://​users.ox.ac.uk/​~mert2255/​papers/​symmetries.pdf)).
  
  
-In addition, there can be multiple Lagrangians for one and the same model. This is known as a [[advanced_notions:​quantum_field_theory:​duality|duality]]. ​+In addition, there can be multiple Lagrangians for one and the same model. This is known as a [[advanced_notions:​duality|duality]]. ​
  
 <tabbox Why are models interesting?>​ <tabbox Why are models interesting?>​
models.txt · Last modified: 2022/09/07 20:30 by 147.92.69.196