### Abstract

Momentum space and Minkowski diagrams are powerful tools for interpreting and analysing relativistic collisions in one or two spatial dimensions. All relevant quantities that characterize a collision, including the mass, velocity, momentum and energy of the interacting particles, both before and after collision, can be directly seen from a single Minkowski diagram. Such diagrams can also be useful for analysing the differences between Newtonian and relativistic mechanics. As an interesting example, a simple derivation of the Compton wavelength shift formula, based on the geometrical properties of such momentum space diagrams, is also presented.

Original language | English |
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Pages (from-to) | 773-782 |

Number of pages | 10 |

Journal | European Journal of Physics |

Volume | 32 |

Issue number | 3 |

DOIs | |

Publication status | Published - May 2011 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**Analysing collisions using Minkowski diagrams in momentum space.** / Bokor, N.

Research output: Contribution to journal › Article

*European Journal of Physics*, vol. 32, no. 3, pp. 773-782. https://doi.org/10.1088/0143-0807/32/3/013

}

TY - JOUR

T1 - Analysing collisions using Minkowski diagrams in momentum space

AU - Bokor, N.

PY - 2011/5

Y1 - 2011/5

N2 - Momentum space and Minkowski diagrams are powerful tools for interpreting and analysing relativistic collisions in one or two spatial dimensions. All relevant quantities that characterize a collision, including the mass, velocity, momentum and energy of the interacting particles, both before and after collision, can be directly seen from a single Minkowski diagram. Such diagrams can also be useful for analysing the differences between Newtonian and relativistic mechanics. As an interesting example, a simple derivation of the Compton wavelength shift formula, based on the geometrical properties of such momentum space diagrams, is also presented.

AB - Momentum space and Minkowski diagrams are powerful tools for interpreting and analysing relativistic collisions in one or two spatial dimensions. All relevant quantities that characterize a collision, including the mass, velocity, momentum and energy of the interacting particles, both before and after collision, can be directly seen from a single Minkowski diagram. Such diagrams can also be useful for analysing the differences between Newtonian and relativistic mechanics. As an interesting example, a simple derivation of the Compton wavelength shift formula, based on the geometrical properties of such momentum space diagrams, is also presented.

UR - http://www.scopus.com/inward/record.url?scp=79955403229&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79955403229&partnerID=8YFLogxK

U2 - 10.1088/0143-0807/32/3/013

DO - 10.1088/0143-0807/32/3/013

M3 - Article

AN - SCOPUS:79955403229

VL - 32

SP - 773

EP - 782

JO - European Journal of Physics

JF - European Journal of Physics

SN - 0143-0807

IS - 3

ER -