SPINLESS SALPETER EQUATION Some (Semi-) Analytical Approaches
نویسندگان
چکیده
The eigenvalue equation of a semirelativistic Hamiltonian composed of the relativistic kinetic term of spin-0 particles and static interactions is called spinless Salpeter equation. It is regarded as relativistic generalization of the nonrelativistic Schrödinger approach, or as approximation to the homogeneous Bethe–Salpeter equation in its instantaneous limit. The nonlocality inherent to this kind of operators makes hard to find analytical solutions. Nevertheless, rigorous analytical statements can be proved by sophisticated methods [1]:
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