The geometric deformation operator C_hat = pi(1 + (hbar^2/c^2) d^2/dv^2) on L^2([-v_c,v_c]) with Dirichlet conditions is essentially self-adjoint.
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Essential Self-Adjointness of the Geometric Deformation Operator on a Compact Interval
The geometric deformation operator C_hat = pi(1 + (hbar^2/c^2) d^2/dv^2) on L^2([-v_c,v_c]) with Dirichlet conditions is essentially self-adjoint.