Quantum linear response theory?

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Discussion Overview

The discussion centers around the concept of linear response theory in quantum mechanics, with participants seeking introductory information and resources for further study. The scope includes theoretical understanding and practical applications in experimental contexts.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant requests an introduction to linear response theory in quantum mechanics and seeks reading suggestions.
  • Another participant shares a link to lecture notes by Andrei Tokmakof at MIT, indicating it may be relevant for learning about the topic.
  • A third participant references two books mentioned in the lecture notes, suggesting that section 2.1 of Mazenko's book and chapter 4 of Kubo's et al. book could be useful resources.
  • A later reply notes the practical applications of linear response theory, describing its utility in calculating measurable quantities in quantum experiments, specifically mentioning the impedance of a driven system.

Areas of Agreement / Disagreement

Participants generally agree on the relevance of linear response theory to practical measurements in quantum systems, but there is no consensus on a singular introductory resource or approach to learning the theory.

Contextual Notes

Limitations include the varying levels of familiarity with the topic among participants and the reliance on specific texts that may not cover all aspects of linear response theory.

Who May Find This Useful

Individuals interested in quantum mechanics, particularly those looking to understand linear response theory and its applications in experimental physics.

baranas
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Can anyone introduce, what is linear response theory in quantum mechanics? Or suggest, where i could read about it, to get acquaintance with it?
 
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I don't know much about quantum linear response theory but I am also trying to learn. I found a series of lecture notes by Andrei Tokmakof at MIT. This one seems to be the most relevant.
http://www.mit.edu/~tokmakof/TDQMS/Notes/8._Linear_Response_2-09.pdf.
 
There are two books referenced on page 20 of the notes linked to in post #2. In the book by Mazenko, section 2.1 is useful. You may also want to check the 4th chapter of Kubo's et al. book <Statistical Physics II>.
 
It is worth noting that this theory is very "practical", in that it allows you to figure out what you would actually MEASURE in an experiment on a quantum system.
Years ago I e.g. used it to calculate the impedance(in ohms) of a driven system (described by a JC hamiltonian) as a function of applied magnetic field, which in turn allowed me to model a particular experiment to see if it was feasible.
Very useful.
 

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