Semirelativistic Hamiltonians of apparently nonrelativistic form
نویسندگان
چکیده
منابع مشابه
Semirelativistic Hamiltonians of apparently nonrelativistic form.
We construct effective Hamiltonians which despite their apparently nonrelativistic form incorporate relativistic effects by involving parameters which depend on the relevant momentum. For some potentials the corresponding energy eigenvalues may be determined analytically. Applied to two-particle bound states, it turns out that in this way a nonrelativistic treatment may indeed be able to simula...
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We construct effective Hamiltonians which despite their apparently nonrelativistic form incorporate relativistic effects by involving parameters which depend on the relevant momentum. For some potentials the corresponding energy eigenvalues may be determined analytically. Applied to two-particle bound states, it turns out that in this way a nonrelativistic treatment may indeed be able to simula...
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We review various attempts to localize the discrete spectra of semirelativistic Hamiltonians of the form H = β √ m2 + p2+V (r) (defined, without loss of generality but for definiteness, in three spatial dimensions) as entering, for instance, in the spinless Salpeter equation; every Hamiltonian in this class of operators consists of the relativistic kinetic energy β √ m2 + p2, where β > 0 allows...
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Approximate analytical closed energy formulas for semirelativistic Hamiltonians of the form σ p p +m +V (r) are obtained within the framework of the auxiliary field method. This method, which is equivalent to the envelope theory, has been recently proposed as a powerful tool to get approximate analytical solutions of the Schrödinger equation. Various shapes for the potential V (r) are investiga...
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We analyze the (discrete) spectrum of the semirelativistic “spinless-Salpeter” Hamiltonian
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ژورنال
عنوان ژورنال: Physical Review A
سال: 1995
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.51.4419