LOWER BOUNDS FOR QUANTUM ENERGY-LEVELS THROUGH STATISTICAL-MECHANICS METHODS

被引：5

作者：

NITTI, L

PELLICORO, M

VILLANI, M

机构：

[1] Istituto di Fisica, Università di Bari, Sezione di Bari

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1980年 / 21卷 / 04期

关键词：

D O I：

10.1063/1.524463

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A perturbative variational method for the calculation of lower bounds to energy eigenvalues is given for a wide class of quantum mechanical systems. The method makes use of the quantum statistical partition function and exploits the inequalities satisfied by the generalized Padè approximants. The mathematical and physical content of our approach is illustrated through a standard model. © 1980 American Institute of Physics.

引用

页码：834 / 839

页数：6

共 20 条

[1]

Baker G. A., 1975, ESSENTIALS PADE APPR

[2] LOWER BOUNDS FOR EIGENVALUES OF SCHRODINGERS EQUATION [J].

BAZLEY, NW ;

FOX, DW .

PHYSICAL REVIEW, 1961, 124 (02) :483-&

[3] MONOTONIC CONVERGING VARIATIONAL APPROXIMATIONS TO FUNCTIONAL INTEGRALS IN QUANTUM STATISTICAL-MECHANICS [J].

BESSIS, D ;

MOUSSA, P ;

VILLANI, M .

JOURNAL OF MATHEMATICAL PHYSICS, 1975, 16 (11) :2318-2325

[4] SUMMATION OF REGULARIZED PERTURBATIVE EXPANSIONS FOR SINGULAR INTERACTIONS [J].

BESSIS, D ;

EPELE, L ;

VILLANI, M .

JOURNAL OF MATHEMATICAL PHYSICS, 1974, 15 (12) :2071-2078

[5]

BRANDAS EJ, 1972, J MATH PHYS, V13, P155, DOI 10.1063/1.1665948

[6] PERTURBATION-THEORY AT LARGE ORDER .1. PHI-2N-INTERACTION [J].

BREZIN, E ;

LEGUILLOU, JC ;

ZINNJUSTIN, J .

PHYSICAL REVIEW D, 1977, 15 (06) :1544-1557

[7] NONPERTURBATIVE METHODS AND EXTENDED-HADRON MODELS IN FIELD-THEORY .1. SEMICLASSICAL FUNCTIONAL METHODS [J].

DASHEN, RF ;

HASSLACHER, B ;

NEVEU, A .

PHYSICAL REVIEW D, 1974, 10 (12) :4114-4129

[8]

Feynman R.P., 1965, QUANTUM MECH PATH IN

[9] SUMMATION METHOD FOR A CLASS OF SERIES WITH DIVERGENT TERMS [J].

FOGLI, GL ;

PELLICORO, MF ;

VILLANI, M .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A, 1971, A 6 (01) :79-+

[10]

GIRAUD BG, 1977, DPHT7788 SACL PREPR

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