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QMrocks
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anybody can recommend a good introducotry book on "advanced and retarded Green's function" and its application to QM, particularly transport problems. Thanks.
Dr Transport said:What is the system you are calculating the transport properties of??
dextercioby said:Did u follow a rigurous solid state course?
Daniel.
dextercioby said:I think Zapper could give u more assistance.It's his area of expertise.
Daniel.
dextercioby said:He will.Trust me.
Daniel.
An advanced and retarded Green's function is a mathematical tool used in the field of quantum mechanics to describe the propagation of waves in a medium. It is a type of Green's function that takes into account both the past and future behavior of a system, making it especially useful for studying time-dependent phenomena.
The main difference between an advanced and retarded Green's function and a regular Green's function is that the advanced and retarded version takes into account both the past and future behavior of a system, while a regular Green's function only considers the past behavior. This makes the advanced and retarded Green's function better suited for analyzing time-dependent phenomena.
Advanced and retarded Green's functions have a wide range of applications in physics, including quantum mechanics, electrodynamics, and statistical mechanics. They are particularly useful for studying time-dependent phenomena, such as scattering and propagation of waves in a medium.
Calculating advanced and retarded Green's functions involves solving a set of differential equations, known as the Green's function equation. This equation can be solved analytically for simple systems, but for more complex systems, numerical methods may be used.
Yes, advanced and retarded Green's functions can be used for non-linear systems. However, the equations become more complex and may require numerical methods to solve. In some cases, an advanced and retarded Green's function may not exist for a non-linear system.