Solution of Coulomb path integral in momentum space
نویسندگان
چکیده
منابع مشابه
Solution of Coulomb Path Integral in Momentum Space
The path integral for a point particle in a Coulomb potential is solved in momentum space. The solution permits us to answer for the first time an old question of quantum mechanics in curved spaces raised in 1957 by DeWitt: The Hamiltonian of a particle in a curved space must not contain an additional term proportional to the curvature scalar R, since this would change the level spacings in the...
متن کاملPath Integral of Relativistic Coulomb System
The path integral of the relativistic Coulomb system is solved, and the wave functions are extracted from the resulting amplitude. Typeset using REVTEX E-MAIL: [email protected]; URL: http://www.physik.fu-berlin.de/ ̃kleinert 1 1) While the path integral of the nonrelativistic Coulomb system has been solved some 15 years ago [1] and further discussed by many authors [2] – [14...
متن کاملTreatment of the Coulomb singularity in momentum space calculations ✩
The evaluation of the matrix elements of the Coulomb interaction in calculations using the Lippmann–Schwinger (or related) equations is complicated by the existence of a singularity in the integrand. One method of handling this singularity is to use a procedure commonly called the Lande subtraction. A procedure is outlined which relates the subtraction integrals to formulae involving the zeros ...
متن کاملPath integral for a relativistic Aharonov-Bohm-Coulomb system
With the help of Duru and Kleinert’s path-dependent time transformation [1] the list of solvable path integrals has been extended to essentially all potential problems which possess a solvable Schrödinger equation [2,3]. Only recently has the technique been extended to relativistic potential problems [4], followed by two applications [5–8]. Here we’d like to add a further application by solving...
متن کاملCoulomb plus nuclear scattering in momentum space for coupled angular momentum states.
The Vincent–Phatak procedure for solving the momentum-space Schrödinger equation with combined Coulomb-plus-short-range potentials is extended to angular momentum states coupled by an optical potential—as occurs in spin 1/2 × 1/2 scattering. A generalization of the Blatt–Biedenharn phase shift parameterization is derived and applied to 500 MeV polarized-proton scattering from 3He and 13C. The r...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics Letters A
سال: 1999
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(99)00018-3