Non-relativistic quantum mechanics is extended to L^j-normed geometric frameworks, yielding a j-th order Schrödinger equation with bound-state energies scaling as (2n+1)^j and a j-fold conjugation rule for real probability densities.
Pseudo-hermiticity versus pt symmetry: The necessary condition for the reality of the spectrum of a non-hermitian hamiltonian.Journal of Mathematical Physics, 43(1):205–214
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Non-Relativistic Quantum Mechanics in Multidimensional Geometric Frameworks
Non-relativistic quantum mechanics is extended to L^j-normed geometric frameworks, yielding a j-th order Schrödinger equation with bound-state energies scaling as (2n+1)^j and a j-fold conjugation rule for real probability densities.