共查询到20条相似文献,搜索用时 93 毫秒
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双模相位算符及基本征态 总被引:1,自引:0,他引:1
在双模空间,给出不同模式下厄米的cosiue和Sine算符。由于它们相互对易,就可构造出它们的本征态。并且讨论了这些相位算符和本征态磁的性质。最后还研究了P-B相位表示下这些算符的期望值。 相似文献
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研究q-玻色湮没算符高次幂(k≥3)的正交归一本征态的数学结构,在此基础上讨论了它们的数学性质及其q-压缩和振幅N次方压缩特性.发现它们能组成一个完备的希尔伯特(Hilbert)空间;且当k为偶数时,这些本征态均可存在振幅N次方压缩. 相似文献
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本文在偏振光的态矢量表示基础上,进一步讨论了偏振算符和相移算符,讨论了本征值方程和投影方程.提出了用本征态矢构成偏振算符和相移算符的方法.最后讨论了经过偏振器后的光强问题. 相似文献
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证明了算符(a^f(n^))k(k≥3)的k个正交归一本征态的完备性,引入了反聚束效应和一种新的高阶压缩,研究了算符(a^f(n^))k的k个本征态的反聚束效应和高阶压缩特性.结果表明,这些态可以构成一个完备的希尔伯特(Hilbert)空间,它们均可呈现反聚束效应,且当k为偶数时它们可呈现M阶[M=(n+12)k;n=0,1,2,…]压缩效应
关键词:
算符(a^f(n^))k的本征态
完备性
反聚束效应
高阶压缩 相似文献
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q—玻色湮没有符高次幂的本征态及其性质 总被引:1,自引:1,他引:0
研究了q-玻色湮没算符高次幂α^kq(k≥3)的正交归一本征态的数学结构,在此基础上讨论了它们的数学性质及其q-压缩和振幅N次方压缩特性,发现它们能组成一个完备的希尔伯特(Hilbert)空间;且当k为偶数时,这些本征态均可存在振幅N次方[N=(m+1/2)k,m=0,1,2,…]压缩。 相似文献
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借助湮没算符的本征值方程及其本征态的完备性,证明了纠缠态的完备性.在此基础上,利用纠缠态所满足的本征值方程,得到了非对称纠缠态投影算符的积分.
关键词:
完备性
纠缠态
投影算符
积分 相似文献
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本文给出了各种表象的旋量球函数在局部坐标系中的表达式及其与固定坐标式的联系,并用此式讨论了光子、电子、双光子系波函数的各种性质。利用梯度算子及无穷小转动算子在局部系中的联系将旋量方程分离变量,得到了梯度公式。最后在局部系中探讨了散射问题,计算了γ跃迁的角向积分。
关键词: 相似文献
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A new class of nonlinear Lie algebra has been found, which is generated naturally by the Hamiltonian operator, the square of the angular momentum operator and the ladder operator for the central potentials. According to the theory of nonlinear Lie algebra, without using the factorization method, we obtained the vector ladder operators for the three-dimensional isotropic harmonic oscillator and hydrogen atom. The radial components of these operators, which are independent of the quantum numbers, are just the radial ladder operators for the same potentials. 相似文献
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In this paper, we present the explicit expressions of the gauge operators for pseudoscslar fields in a gauge theory coupled vector and axial-vector fields with the aid of the method of operator algebras.The gauge operators of the pure gauge field theory under the chiral group SU(N)×SU(N) are also presented. P9oreover, the explicit expression of the Baker-Hausdorff formula is obtained for a special case and the general situation is discussed. 相似文献
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《Journal of Nonlinear Mathematical Physics》2013,20(1):13-25
The objective of this paper is twofold: (a) to find a natural example of a perturbed Lagrangian that has different partial Noether operators with symmetries different from those of the underlying Lagrangian. First we regard the Schwarzschild spacetime as a perturbation of the Minkowski spacetime and investigate the approximate partial Noether operators for this perturbed spacetime. It is shown that the Minkowski spacetime has 12 partial Noether operators, 10 of which are different from the 17 Noether symmetries for this spacetime. It is found that for the perturbed Schwarzschild spacetime we recover the exact partial Noether operators as trivial first-order approximate partial Noether operators and there is no non-trivial approximate partial Noether operator as for the Noether case. As a consequence we state a conjecture. (b) Then we prove a conjecture that the approximate symmetries of a perturbed Lagrangian form a subalgebra of the approximate symmetries of the corresponding perturbed Euler–Lagrange equations and illustrate it by our examples. This is in contrast to approximate partial Noether operators. 相似文献
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A new formalism of the nuclear many-body problem is established in which one ean work with various physical state vector spaces consisting of both Fermions and Bosons, all being equivalent to the original one consisting only of Fermions.With the help of the usual commutation relations and anticommutation relations between the annihilation and creation operators of Boson and Fermion, a generalized state vector space is established, which contains all the physical spaces each being equivalent to the original physical space in terms of pure Fermion operators. Transformation between the state vectors in various equivalent physical spaces are constructed. Basic operators in the original state space are transformed into effective operators in the new physical spaces. 相似文献
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本文借助于曲线坐标下动量算符的一种厄密形式,导出了广义坐标算符和广义动量算符的最小不确定态,并结合常见坐标分量取不同上、下限的情况讨论相应的概率分布,进而得到有关的结论. 相似文献
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Sun Hung-zhou 《中国物理C(英文版)》1980,4(1):73-92
In this paper, we analyse the commutation relations of the infintesimal opera-tors of the group SU3 and find that the eight infinitesimal operators of the groupSU3 can be written as a scalar operator A, three angular momentum operators (L1,Lo, L-1,)and two sets of the irreducible tensor operators of rank 1/2, (T±1/2,V±1/2)By means of the commutation relations of these operators, all irreducible represen-tations of the group SU3 can be easily obtained. In this pape, the matrices corresponding to these operators in the irreduciblerepresentation(λμ), are given; therefore the irreducible representation and its re-presentation space Rλμ are completely defined. Besides, a method for calculatingthe scalar factors of the reduction coefficients and the symmetric relations of thosefactors are also given. As examples, the scalar factors of the reduction coefficientsof (λμ)×(10), (λμ)×(01), (λμ)×(20) and (λμ)×(11) are calculated. In the last part of this paper, we define the irreducible tensor operators ofthe group SU3 and prove the corresponding Wigner-Eckart theory. The method used in the discussion of the group SU3 be extended to allof the compact simple Lie groups of rank 2 and we shall discuss them in two suc-ceeding papers. 相似文献
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提出一种描述自旋为1/2的强偶AB自旋体系多脉冲NMR实验的密度算符演化的方法,推导了自旋算符的自由演化公式,具体描述了极化转移INEPT实验和二维DQ-INADEQUATE实验。该方法物理意义直观,计算量较小。 相似文献