Can someone with access to Shankar's QM book help me (vector spaces)?

In summary, Shankar's QM book is a popular and comprehensive textbook on quantum mechanics written by Ramamurti Shankar, a professor at Yale University. It is primarily aimed towards undergraduate and graduate students studying physics, but can also be a helpful resource for anyone interested in learning about quantum mechanics. The book covers various topics such as vector spaces, operators, and wave functions. Vector spaces are crucial in quantum mechanics as they provide a mathematical framework for describing the states of physical systems, and the book provides clear explanations and examples on this topic. Additionally, someone with access to the book can offer assistance and clarification on the concepts of vector spaces. Overall, Shankar's QM book is considered to be a good resource for learning about vector
  • #1
AxiomOfChoice
533
1
On pg. 2, Shankar seems to just assume (I'm guessing) that [itex]1|V\rangle = |V\rangle[/itex] for all vectors [itex]|V\rangle[/itex] when he does the exercise at the bottom of the page. Is this true, or is it possible to prove [itex]1|V\rangle = |V\rangle[/itex] from the axioms he lists?
 
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  • #2
I think that this is what the author means by "do what is natural". Usually, however, 1|v> = |v> is just listed as an axiom ("there is a scalar multiplication r|v> with 1|v> = |v> and 0|v> = |0>").
 

1. What is Shankar's QM book?

Shankar's QM book is a popular textbook on quantum mechanics written by Ramamurti Shankar, a physicist and professor at Yale University. It covers topics such as vector spaces, operators, and wave functions.

2. Who can benefit from Shankar's QM book?

Shankar's QM book is primarily targeted towards undergraduate and graduate students studying physics or related fields. However, it can also be a useful resource for anyone interested in learning about quantum mechanics.

3. What is the importance of vector spaces in quantum mechanics?

Vector spaces play a crucial role in quantum mechanics as they provide a mathematical framework for describing the states of physical systems. In quantum mechanics, the state of a system is represented by a vector in a complex vector space.

4. How can someone with access to Shankar's QM book help with vector spaces?

If someone has access to Shankar's QM book, they can provide assistance with understanding the concepts of vector spaces as explained in the book. They may also be able to provide additional resources or explanations to clarify any confusion.

5. Is Shankar's QM book a good resource for learning about vector spaces?

Yes, Shankar's QM book is widely considered to be a comprehensive and well-written textbook on quantum mechanics, including the topic of vector spaces. It provides clear explanations, examples, and exercises to help readers understand and apply the concepts.

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