SEMIRELATIVISTIC HAMILTONIANS AND THE AUXILIARY FIELD METHOD
نویسندگان
چکیده
منابع مشابه
Semirelativistic Hamiltonians and the auxiliary field method
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...
متن کاملDiscrete Spectra of Semirelativistic Hamiltonians
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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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 analyze the (discrete) spectrum of the semirelativistic “spinless-Salpeter” Hamiltonian
متن کاملExtensions of the auxiliary field method to solve Schrödinger equations
It has recently been shown that the auxiliary field method is an interesting tool to compute approximate analytical solutions of the Schrödinger equation. This technique can generate the spectrum associated with an arbitrary potential V (r) starting from the analytically known spectrum of a particular potential P (r). In the present work, general important properties of the auxiliary field meth...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 2009
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x09045960