Elementary arguments that the Wu-Austin Hamiltonian has no finite ground state (the search for a microscopic foundation of Frohlichs theory)

被引：8
作者：
Bolterauer, H [1 ]
机构：
[1] Univ Giessen, Inst Theoret Phys, D-35394 Giessen, Germany
来源：
BIOELECTROCHEMISTRY AND BIOENERGETICS | 1999年 / 48卷 / 02期
关键词：
Wu-Austin Hamiltonian; Frohlichs theory; perturbation expansion;
D O I：
10.1016/S0302-4598(99)00030-6
中图分类号：
Q5 [生物化学]; Q7 [分子生物学];
学科分类号：
071010 ; 081704 ;
摘要：
The Wu-Austin Hamiltonian as the basis for deriving Frohlichs rate equations from a microscopical point of view has been investigated. In addition to an earlier paper we show in a very easy manner that this or similar Hamiltonians have no lower bound and are therefore unphysical. The perturbation expansion which is the tool to derive Frohlichs rate equations with this Hamiltonian is not converging. Therefore, the usual derivation of this rate equation is not valid. (C) 1999 Elsevier Science S.A. All rights reserved.
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收藏
页码：301 / 304
页数：4
相关论文
共 19 条
[1]   BOSE CONDENSATION FOR THE WU-AUSTIN HAMILTONIAN WITHOUT PUMPING [J].
BOLTERAUER, H ;
LUDWIG, LA .
PHYSICAL REVIEW E, 1993, 47 (03) :2122-2127
[2]  
Bolterauer H, 1994, NEURAL NETW WORLD, V4, P255
[3]  
Fro'hlich H., 1968, INT J QUANTUM CHEM, V2, P641, DOI [10.1002/qua.560020505, DOI 10.1002/QUA.560020505]
[4]  
Frohlich H., 1972, Physics Letters A, V39A, P153, DOI 10.1016/0375-9601(72)91060-2
[5]   INTERACTION OF ELECTRONS WITH LATTICE VIBRATIONS [J].
FROHLICH, H .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1952, 215 (1122) :291-298
[6]   LONG RANGE COHERENCE AND ACTION OF ENZYMES [J].
FROHLICH, H .
NATURE, 1970, 228 (5276) :1093-&
[7]  
FROHLICH H, 1975, PHYS LETT A, VA 51, P21, DOI 10.1016/0375-9601(75)90300-X
[8]   BOSE CONDENSATION OF STRONGLY EXCITED LONGITUDINAL ELECTRIC MODES [J].
FROHLICH, H .
PHYSICS LETTERS A, 1968, A 26 (09) :402-&
[9]  
FROHLICH H, 1977, NUOVO CIMENTO, V7, P416
[10]  
Frohlich H., 1980, ADV ELECTRON EL PHYS, V53, P85
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