HOW TO SOLVE PATH-INTEGRALS IN QUANTUM-MECHANICS

被引:47
作者
GROSCHE, C
STEINER, F
机构
[1] II. Institut für Theoretische Physik, Universität Hamburg, 22761 Hamburg
关键词
D O I
10.1063/1.531043
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A systematic classification of Feynman path integrals in quantum mechanics is presented and a table of solvable path integrals is given which reflects the progress made during the last 15 years, including, of course, the main contributions since the invention of the path integral by Feynman in 1942. An outline of the general theory is given which will serve as a quick reference for solving path integrals. Explicit formulas for the so-called basic path integrals are presented on which the general scheme to classify and calculate path integrals in quantum mechanics is based. © 1995 American Institute of Physics.
引用
收藏
页码:2354 / 2385
页数:32
相关论文
共 50 条
  • [31] TRANSFORMATIONS OF PATH-INTEGRALS
    NARAIN, KS
    TARSKI, J
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (06): : 1173 - 1185
  • [32] MEASURES FOR PATH-INTEGRALS
    KLAUDER, JR
    DAUBECHIES, I
    PHYSICAL REVIEW LETTERS, 1982, 48 (03) : 117 - 120
  • [33] SUPERSYMMETRIC PATH-INTEGRALS
    LOTT, J
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 108 (04) : 605 - 629
  • [34] PATH INTEGRATION IN RELATIVISTIC QUANTUM-MECHANICS
    REDMOUNT, IH
    SUEN, WM
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1993, 8 (09): : 1629 - 1635
  • [35] PATH INTEGRATION IN NONRELATIVISTIC QUANTUM-MECHANICS
    DEWITTMORETTE, C
    MAHESHWARI, A
    NELSON, B
    PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1979, 50 (05): : 255 - 372
  • [36] Path integrals in noncommutative quantum mechanics
    Dragovich, B
    Rakic, Z
    THEORETICAL AND MATHEMATICAL PHYSICS, 2004, 140 (03) : 1299 - 1308
  • [37] Path Integrals in Noncommutative Quantum Mechanics
    B. Dragovich
    Z. Rakić
    Theoretical and Mathematical Physics, 2004, 140 : 1299 - 1308
  • [38] PATH-INTEGRALS IN RIEMANNIAN SPACES
    DEKKER, H
    PHYSICS LETTERS A, 1980, 76 (01) : 8 - 10
  • [39] SIMPLICIAL INTERPOLATIONS FOR PATH-INTEGRALS
    CAHILL, K
    PRASAD, S
    REEDER, R
    PHYSICS LETTERS B, 1984, 149 (4-5) : 377 - 380
  • [40] PATH-INTEGRALS WITHOUT LATTICES
    CAHILL, K
    REEDER, R
    PHYSICS LETTERS B, 1984, 136 (1-2) : 77 - 79