This is an extract from my third year 'Foundations of QM' lecture notes:(adsbygoogle = window.adsbygoogle || []).push({});

If ψ_{1}and ψ_{2}are admissible states,

then the superposed state [itex]\alpha[/itex]ψ_{1}+ ψ_{2}[itex]\beta[/itex] ( [itex]\alpha[/itex],[itex]\beta[/itex] [itex]\in[/itex] C ) is also an admissible state.

[itex]\rightarrow[/itex] complex vector space.

I understand that a linear superposition of allowed state is also an allowed state. It follows from the linearity of the Schrodinger's equation.

What I fail to understand is how this leads to the concept of a complex vector space in QM.

Any help would be greatly appreciated.

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Quantum superposition and Vector Space

Loading...

Similar Threads - Quantum superposition Vector | Date |
---|---|

B Quantum Superposition | Jan 17, 2018 |

I Principle of superposition of states | Sep 7, 2017 |

I Can quantum superpositions be observed | Aug 17, 2017 |

A Experiments probing macroscopic limits of QM | Feb 13, 2017 |

I Difference between Quantum Superposition and Mixed States | Jan 19, 2017 |

**Physics Forums - The Fusion of Science and Community**