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11.
我们研究一个耦合2谐振子系统的本征态问题。我们构造了由算子(x1+p2)和(x2+p1)的共同本征态组成的新纠缠态表象︱γ>。在︱γ>表象得到了系统哈密顿的本征值和本征态。同样的问题用二次量子化表象进行了研究。我们发现在Fock空间,二次量子化表象可以被用来推得本征态的正规积表示。特别是发现了系统基态为广义2模压缩态 相似文献
12.
Density matrix for an electron confined in quantum dots under uniform magnetic field and static electrical field 下载免费PDF全文
Using unitary transformations, this paper obtains the eigenvalues
and the common eigenvector of Hamiltonian and a new-defined generalized
angular momentum (Lz) for an electron confined in quantum
dots under a uniform magnetic field (UMF) and a
static electric field (SEF). It finds that the eigenvalue of
Lz just stands for the expectation value of a usual angular
momentum lz in the eigen-state. It first obtains the matrix
density for this system via directly calculating a transfer matrix
element of operator \exp( -\beta H) in some representations with
the technique of integral within an ordered products (IWOP) of
operators, rather than via solving a Bloch equation. Because the
quadratic homogeneity of potential energy is broken due to the
existence of SEF, the virial theorem in statistical physics is not
satisfactory for this system, which is confirmed through the
calculation of thermal averages of physical quantities. 相似文献