Abstract
In these lectures I shall discuss some interesting consequences of the representation of Green’s functions by means of path integrals. First we shall discuss a lower bound for the partition function of a system that follows from this representation, and show how it may be used to discuss the density of energy levels of a model disordered system. Second a very natural upper bound will be discussed, and it will be shown that special cases of this comprise all the well-known “isoperimetric inequalities” of physics and geometry.
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References
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Luttinger, J.M. (1978). Useful Bounds on Interesting Quantities by Path Integrals. In: Papadopoulos, G.J., Devreese, J.T. (eds) Path Integrals. NATO Advanced Study Institutes Series, vol 34. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-9140-1_8
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DOI: https://doi.org/10.1007/978-1-4684-9140-1_8
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