Quantum-invariant theory and the evolution of a quantum scalar field in Robertson-Walker flat spacetimes

被引:47
作者
Gao, XC [1 ]
Gao, J [1 ]
Qian, TZ [1 ]
Xu, JB [1 ]
机构
[1] ZHEJIANG UNIV,DEPT PHYS,HANGZHOU 310027,PEOPLES R CHINA
来源
PHYSICAL REVIEW D | 1996年 / 53卷 / 08期
关键词
D O I
10.1103/PhysRevD.53.4374
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
On the basis of the generalized invariant formulation, the invariant-related unitary transformation method is developed and used to study the evolution of a quantum scalar field in Robertson-Walker flat spacetimes. We first solve the functional Schrodinger equation for a free scalar field and obtain the exact solutions, of which the ground-state solution possesses isotropy and homogeneity automatically. We then investigate a way of extending the method to treat the case in which there is a high-order perturbative self-interaction.
引用
收藏
页码:4374 / 4381
页数:8
相关论文
共 20 条
[11]  
HOSOYA A, 1989, PHYS REV D, V39, P2229
[12]   AN EXACT QUANTUM THEORY OF TIME-DEPENDENT HARMONIC OSCILLATOR AND OF A CHARGED PARTICLE IN A TIME-DEPENDENT ELECTROMAGNETIC FIELD [J].
LEWIS, HR ;
RIESENFELD, WB .
JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (08) :1458-+
[13]   STOCHASTIC DYNAMICS OF COARSE-GRAINED QUANTUM-FIELDS IN THE INFLATIONARY UNIVERSE [J].
MIJIC, M .
PHYSICAL REVIEW D, 1994, 49 (12) :6434-6441
[14]   THE GEOMETRICAL PHASE - AN APPROACH THROUGH THE USE OF INVARIANTS [J].
MIZRAHI, SS .
PHYSICS LETTERS A, 1989, 138 (09) :465-468
[15]   COHERENT STATES AND HEISENBERG UNCERTAINTY RELATION IN A 3RD-QUANTIZED MINISUPERSPACE [J].
POHLE, HJ .
PHYSICS LETTERS B, 1991, 261 (03) :257-259
[16]   QUANTUM-FIELD-THEORETIC ANALYSIS OF INFLATION DYNAMICS IN A (2+1)-DIMENSIONAL UNIVERSE [J].
SAMIULLAH, M ;
EBOLI, O ;
PI, SY .
PHYSICAL REVIEW D, 1991, 44 (08) :2335-2355
[17]   GENERAL-SOLUTIONS FOR TUNNELING OF SCALAR FIELDS WITH QUARTIC POTENTIALS IN DESITTER SPACE [J].
SASAKI, M ;
STEWART, ED ;
TANAKA, T .
PHYSICAL REVIEW D, 1994, 50 (02) :941-946
[18]   PARTICLE-PRODUCTION DURING OUT-OF-EQUILIBRIUM PHASE-TRANSITIONS [J].
TRASCHEN, JH ;
BRANDENBERGER, RH .
PHYSICAL REVIEW D, 1990, 42 (08) :2491-2504
[19]   GRAVITATIONAL PRODUCTION OF SCALAR PARTICLES IN INFLATIONARY-UNIVERSE MODELS [J].
TURNER, MS ;
WIDROW, LM .
PHYSICAL REVIEW D, 1988, 37 (12) :3428-3437
[20]   LIE ALGEBRAIC SOLUTION OF LINEAR DIFFERENTIAL EQUATIONS [J].
WEI, J ;
NORMAN, E .
JOURNAL OF MATHEMATICAL PHYSICS, 1963, 4 (04) :575-&