When reading in Griffiths and on Wikipedia about the vector space formulation of wavefunctions, i am constantly faced with the statement that a vector can be expressed in different bases, but that it's still the same vector. However, I'm having a hard time imagining what it is about a vector that makes it the same vector, independent of the base you express it in. As i see it, the base and coefficients completely describe the vector, so how can you say it's the same vector when you change the base and coefficients. In other words, what property of the vector is the same in all bases? (I guess this is more of a Linear algebra question really.)(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums | Science Articles, Homework Help, Discussion**

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!

# Simple question about vector spaces and bases in QM

**Physics Forums | Science Articles, Homework Help, Discussion**