NUCLEAR-SPIN DYNAMICS (I=1/2) UNDER THE INFLUENCE OF RANDOM PERTURBATION FIELDS IN THE STRONG COLLISION APPROXIMATION

被引:5
作者
BAUER, WR [1 ]
SCHULTEN, K [1 ]
机构
[1] UNIV ILLINOIS,BECKMAN INST,URBANA,IL 61801
来源
BERICHTE DER BUNSEN-GESELLSCHAFT-PHYSICAL CHEMISTRY CHEMICAL PHYSICS | 1992年 / 96卷 / 05期
关键词
BIOPHYSICAL CHEMISTRY; DIFFUSION; QUANTUM MECHANICS; SPECTROSCOPY; NUCLEAR MAGNETIC RESONANCE;
D O I
10.1002/bbpc.19920960516
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
We investigate the relaxation of a spin 1/2 system by random perturbation fields in the strong collision approximation. In contrast to prior studies no assumptions are made about the fluctuation frequency or about the magnitude of the perturbation fields. A general result for the Laplace transform of the spin lattice and phase relaxation is derived. We discuss the result for phase relaxation induced by a perturbation field with only two opposite modes along the x, v and z axis. Using the method of the general moment approximation we demonstrate how the spin lattice relaxation can be approximated by a sum of exponentials, and we discuss approximations by a single exponential and a bi-exponential function.
引用
收藏
页码:721 / 727
页数:7
相关论文
共 19 条
[1]  
[Anonymous], 1983, HDB STOCHASTIC METHO
[2]  
Baker G. A., 1981, PADE APPROXIMANTS 1
[3]   STOCHASTIC THEORY OF LINE SHAPE - GENERALIZATION OF KUBO-ANDERSON MODEL [J].
BLUME, M .
PHYSICAL REVIEW, 1968, 174 (02) :351-&
[4]   MAGNETIC-RESONANCE IMAGING OF TRANSFUSIONAL HEMOSIDEROSIS COMPLICATING THALASSEMIA MAJOR [J].
BRASCH, RC ;
WESBEY, GE ;
GOODING, CA ;
KOERPER, MA .
RADIOLOGY, 1984, 150 (03) :767-771
[5]   STOCHASTIC THEORY OF LINE-SHAPE .I. NONSECULAR EFFECTS IN STRONG-COLLISION MODEL [J].
DATTAGUPTA, S ;
BLUME, M .
PHYSICAL REVIEW B, 1974, 10 (11) :4540-4550
[6]  
Erd?lyi A., 1954, TABLES INTEGRAL TRAN
[8]  
JEENER J, 1982, ADV MAGN RESON, V10, P1
[10]  
LISSNER J, 1987, LINISCHE KERNSPITOMO