Uniform semiclassical orbital calculations of heavy ion Coulomb excitation
TLDR
In this article, a semielassical approach derived from Feynman's path integral formulation of quantum mechanics is applied to multiple Coulomb excitation for backward scattering angles, and the limit of sudden collision for η → ∞ (η = Sommerfeld parameter) is evaluated analytically and is in very good agreement with results published for this case.About:
This article is published in Nuclear Physics.The article was published on 1975-05-12 and is currently open access. It has received 33 citations till now. The article focuses on the topics: Path integral formulation & Semiclassical physics.read more
Figures
Table II The nrobabilities for excitation of rotational st~tcs in an even-even nucleus in the limit Soa.=O and '!~TXJ. Tabulated are the results of the USCA and the traditional semiclassical apnroximation (ref.9) • ... 
Fig. 1 • Diagram showing the geometry for the projectile- target system. 
Table IT (continued)
Citations
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Journal ArticleDOI
Heavy-ion inelastic scattering from deformed nuclei
Mike Guidry,Mike Guidry,R. E. Neese,R. E. Neese,C.R. Bingham,C.R. Bingham,L. L. Riedinger,L. L. Riedinger,J.A. Vrba,J.A. Vrba,I. Y. Lee,Noah R. Johnson,G.R. Satchler,P. A. Butler,Raul Donangelo,John O. Rasmussen,D.L. Hillis,H.H. Kluge +17 more
TL;DR: Theoretical and experimental methods for studying heavy-ion inelastic scattering from deformed nuclei are described in this paper, which involve classical-limit approximations, while particle γ-spectroseopy techniques are employed experimentally.
Journal ArticleDOI
Semiclassical Methods in Chemical Physics
TL;DR: Semiclassical theory provides a useful picture of quantum features (interference in product state distribution, generalized tunneling phenomena, and others) in these more complex systems.
Journal ArticleDOI
A new approach to Gaussian path integrals and the evaluation of the semiclassical propagator
S Levit,Uzy Smilansky +1 more
TL;DR: In this paper, the expansion of path variations in terms of solutions of Morse's boundary problem is applied in order to evaluate Gaussian path integrals, together with a recently discovered theorem on infinite products of eigenvalues of Sturm-Liouville type operators, which yields an expression for the most general semiclassical propagator.
Journal ArticleDOI
Semi-classical approximations to heavy ion scattering based on the Feynman path-integral method
T. Koeling,Rudi Malfliet +1 more
TL;DR: In this article, a semi-classical theory derived from the Feynman pathintegral formalism by applying the saddle point method is formulated for elastic and inelastic heavy ion reactions.
Journal ArticleDOI
The hamiltonian path integrals and the uniform semiclassical approximations for the propagator
S Levit,Uzy Smilansky +1 more
TL;DR: In this paper, the generalized path expansion scheme is defined for path integration in phase-space, and the semiclassical limits to the propagator, both in the momentum and the coordinate representations, are studied.
References
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Journal ArticleDOI
Classical S Matrix: Numerical Application to Inelastic Collisions
TL;DR: In this paper, a previously developed semiclassical theory of molecular collisions based on exact classical mechanics is applied to the linear atom-diatom collision (vibrational excitation).
Journal ArticleDOI
Semiclassical Theory of Atom–Diatom Collisions: Path Integrals and the Classical S Matrix
TL;DR: In this article, the authors used exact solutions of the classical equations of motion (numerically obtained trajectories) to construct the corresponding classical approximation to the time-independent S-matrix elements for use in quantum mechanical expressions for cross sections; it is argued that this should accurately describe many quantum effects in heavy particle collisions.
Journal ArticleDOI
A new semi-classical theory for multiple Coulomb excitation
TL;DR: In this paper, a uniform semi-classical approach based on the classical limit of Feynman's pathintegral representation is applied for the case of multiple Coulomb excitation.
Journal ArticleDOI
Evaluation of multidimensional canonical integrals in semiclassical collision theory
TL;DR: In this article, an exact series expansion is obtained with the help of convergence factors for the non-separable two-dimensional canonical integral considered earlier, and compared with the approach adopted in the present paper.