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- W2023231346 abstract "The spinless Salpeter equation may be considered either as a standard approximation to the Bethe-Salpeter formalism, designed for the description of bound states within a relativistic quantum field theory, or as the most simple, to a certain extent relativistic, generalization of the costumary nonrelativistic Schrodinger formalism. Because of the presence of the rather difficult-to-handle square-root operator of the relativistic kinetic energy in the corresponding Hamiltonian, very frequently the corresponding (discrete) spectrum of energy eigenvalues cannot be determined analytically. Therefore, we show how to calculate, by some clever choices of basis vectors in the Hilbert space of solutions, for the rather large class of power-law potentials, at least upper bounds on these energy eigenvalues. For the lowest-lying levels, this may be done even analytically." @default.
- W2023231346 created "2016-06-24" @default.
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- W2023231346 date "1997-07-01" @default.
- W2023231346 modified "2023-09-26" @default.
- W2023231346 title "Spinless Salpeter equation: Laguerre bounds on energy levels" @default.
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- W2023231346 doi "https://doi.org/10.1103/physreva.56.139" @default.
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