mm.math.hermite_renormalized

math.hermite_renormalized(B, C, shape)

Renormalized multidimensional Hermite polynomial given by the “exponential” Taylor series of \(exp(C + Bx + 1/2*Ax^2)\) at zero, where the series has \(sqrt(n!)\) at the denominator rather than \(n!\). It computes all the amplitudes within the tensor of given shape.

Parameters:

• A (ndarray) – The A matrix.

• B (ndarray) – The B vector.

• C (ndarray) – The C scalar.

• shape (Tuple[int]) – The shape of the final tensor.

Return type:

ndarray

Returns:

The renormalized Hermite polynomial of given shape.

code/api/mrmustard.math.hermite_renormalized

 

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