What is the Green's function of the Klein-Gordon equation with a variable mass?
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Hey dear here is the answer
Thus we need extra argument to obtain the strong convergence for non-relativistic limit. Under similar restrictions as the semiclassical limit, in Section 4, we study the nonrelativistic-semiclassical limit of Cauchy problem for the modulated defocusing cubic nonlinear Klein-Gordon equation.
Hope its help you
Thus we need extra argument to obtain the strong convergence for non-relativistic limit. Under similar restrictions as the semiclassical limit, in Section 4, we study the nonrelativistic-semiclassical limit of Cauchy problem for the modulated defocusing cubic nonlinear Klein-Gordon equation.
Hope its help you
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Variable masses usually appear when trying to do QFT in curved space, e.g. the "mass" that appears for a scalar particle in FLRW space is time-dependent, so no, that Lagrangian there is not where one usually gets the variable mass from. Aside from that, are you "just" asking for the explicit solution for the Green's function of
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