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<i>J</i>-self-adjoint operators with \mathcal{C} -symmetries: an extension theory approach

<i>J</i>-self-adjoint operators with \mathcal{C} -symmetries: an extension theory approach

A well-known tool in conventional (von Neumann) quantum mechanics is the self-adjoint extension technique for symmetric operators. It is used, e.g., for the construction of Dirac–Hermitian Hamiltonians with point-interaction potentials. Here we reshape this technique to allow for the construction of pseudo-Hermitian (J-self-adjoint) Hamiltonians with complex point interactions. We demonstrate …