Path-integral Riemannian contributions to nuclear Schr̈odinger equation
نویسنده
چکیده
Several studies in quantum mechanics and statistical mechanics have formally established that nonflat metrics induce a difference in the potential used to define the path-integral Lagrangian from that used to define the differential Schr̈odinger Hamiltonian. A recent study has described a statistical mechanical biophysical system in which this effect is large enough to be measurable. This study demonstrates that the nucleon-nucleon velocity-dependent interaction derived from meson exchanges is a quantum mechanical system in which this effect is also large enough to be measurable.
منابع مشابه
Riemannian contributions to the short-ranged velocity-dependent nucleon-nucleon interaction.
A Riemannian curvature-scalar term arises when determining the difference between the velocity-dependent potentials used in the differential Schr̈odinger equation and in its path-integral Lagrangian representation. Tw o previous papers have demonstrated that the magnitude of this difference may be within experimental error in nuclear matter binding energy calculations, when medium-range and long...
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