SEMI-CLASSICAL APPROXIMATIONS FOR NUCLEAR HAMILTONIANS .1. SPIN-INDEPENDENT POTENTIALS

被引:188
作者
GRAMMATICOS, B [1 ]
VOROS, A [1 ]
机构
[1] CTR RECH NUCL, SERV PHYS THEOR, F-67037 STRASBOURG, FRANCE
关键词
D O I
10.1016/0003-4916(79)90343-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A systematic procedure for calculating semiclassical expansions of physically interesting quantities is presented. The method is based on the Wigner transform of operators. It is applied specifically to the case of fermions governed by a one-body Hamiltonian. Expansions up to fourth order in h{stroke} of the density matrix for various spin-independent potentials are derived. Expressions of the kinetic energy density in terms of the matter density are given, which are of particular interest for nuclear structure calculations. © 1979.
引用
收藏
页码:359 / 380
页数:22
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共 40 条
[1]   SHORT-RANGE FORCES AND SURFACE-TENSION IN NUCLEI [J].
BALAZS, NL ;
PAULI, HC .
ZEITSCHRIFT FUR PHYSIK A-HADRONS AND NUCLEI, 1977, 281 (04) :395-407
[2]   ASYMPTOTIC EVALUATION OF GREENS FUNCTION FOR LARGE QUANTUM NUMBERS [J].
BALIAN, R ;
BLOCH, C .
ANNALS OF PHYSICS, 1971, 63 (02) :592-&
[3]   DISTRIBUTION OF EIGENFREQUENCIES FOR WAVE EQUATION IN A FINITE DOMAIN .1. 3-DIMENSIONAL PROBLEM WITH SMOOTH BOUNDARY SURFACE [J].
BALIAN, R ;
BLOCH, C .
ANNALS OF PHYSICS, 1970, 60 (02) :401-&
[4]   SOLUTION OF SCHRODINGER EQUATION IN TERMS OF CLASSICAL PATHS [J].
BALIAN, R ;
BLOCH, C .
ANNALS OF PHYSICS, 1974, 85 (02) :514-545
[5]   GREENS FUNCTION METHOD FOR QUANTUM CORRECTIONS TO THOMAS-FERMI MODEL OF ATOM [J].
BARAFF, GA ;
BOROWITZ, S .
PHYSICAL REVIEW, 1961, 121 (06) :1704-&
[6]   NUCLEAR GROUND-STATE PROPERTIES AND SELF-CONSISTENT CALCULATIONS WITH SKYRME INTERACTION .1. SPHERICAL DESCRIPTION [J].
BEINER, M ;
FLOCARD, H ;
VANGIAI, N ;
QUENTIN, P .
NUCLEAR PHYSICS A, 1975, A238 (01) :29-69
[7]  
BLAIZOT JP, DPHT77100 PREPR
[8]   EXTENSIONS OF THOMAS-FERMI APPROXIMATION FOR FINITE NUCLEI [J].
BOHIGAS, O ;
CAMPI, X ;
KRIVINE, H ;
TREINER, J .
PHYSICS LETTERS B, 1976, 64 (04) :381-385
[9]   ONE-DIMENSIONAL NUCLEAR DYNAMICS IN TIME-DEPENDENT HARTREE-FOCK APPROXIMATION [J].
BONCHE, P ;
KOONIN, S ;
NEGELE, JW .
PHYSICAL REVIEW C, 1976, 13 (03) :1226-1258
[10]   EXTENDED THOMAS-FERMI APPROXIMATION TO KINETIC-ENERGY DENSITY [J].
BRACK, M ;
JENNINGS, BK ;
CHU, YH .
PHYSICS LETTERS B, 1976, 65 (01) :1-4