Consider the sum of the configuration and momentum operators on L^2(𝐑). Show that the adjoint of

Question

Consider the sum of the configuration and momentum operators on $L^2(\mathbf{R})$. Show that the adjoint of this sum is an extension of the sum but that the sum itself is not self-adjoint. Find a self-adjoint extension.

   Consider the sum of the configuration and momentum operators on $L^2(\mathbf{R})$. Show that the adjoint of this sum is an extension of the sum but that the sum itself is not self-adjoint. Find a self-adjoint extension.

Mathematical physics

Robert Geroch 1st Edition

Chapter 56, Problem 391

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Consider the sum of the configuration and momentum operators on $L^2(\mathbf{R})$. Show that the adjoint of this sum is an extension of the sum but that the sum itself is not self-adjoint. Find a self-adjoint extension.

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