$$\int dz^{*}dz \exp\bigg[-(z^{*}z-cz^{*}-zd^{*})\bigg] $$ In the above integral,$$z,z^{*},c,d^{*} \in \mathbb{C} $$. As this a gaussian integral one can do this by completing the squares. However here there is an issue. The argument in the exponential is not of the form $(z^{*}z-cz^{*}-zc^{*})$. So how do one solve this integral by completing the squares. Can someone help me in evaluting this integral
2026-03-28 09:32:56.1774690376
How to evaluate the following gaussian integral?
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