# Quantization by evaluating complex functions on different Riemann sheets?

+ 2 like - 0 dislike
628 views

In lecture 3 (the most relevant explanations are between 46:00 and 56:30) of his Mathematical Physics course, Carl Bender mentions that the evaluation of complex functions on different Riemann sheets can describe the quantization of physics observed in nature.

How does this "quantization method" work exactly, or is it just a different (more mathematical) point of view to look at things?

How is this way of thinking about quantization linked to the usual methods of quantization in physics, such as for example covariant quantization, light-cone quantization, or BRST quantization?

edited Jul 12, 2014

Please point to the time interval where he introduces and discusses the method.

 Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead. To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL. Please consult the FAQ for as to how to format your post. This is the answer box; if you want to write a comment instead, please use the 'add comment' button. Live preview (may slow down editor)   Preview Your name to display (optional): Email me at this address if my answer is selected or commented on: Privacy: Your email address will only be used for sending these notifications. Anti-spam verification: If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:p$\hbar$ysicsOve$\varnothing$flowThen drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds). To avoid this verification in future, please log in or register.