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This is an introduction to antilinear operators. In following Wigner the terminus antilinear is used as it is standard in Physics.Mathematicians prefer to say conjugate linear. By restricting to finite-dimensional com...
This work was supported by the National Basic Research Program of China (No.2013CB922200), the National Natural Science Foundation of China (No.21222308, No.21103187, and No.21133006), the Chinese Academy of Sciences, and the Key Research Program of the Chinese Academy of Sciences.
In quantum calculations a transformed Hamiltonian is often used to avoid singularities in a certain basis set or to reduce computation time. We demonstrate for the Fourier basis set that the Hamiltonian can not be arb...
The pseudo Hermiticity with respect to the exchange operators of N-D complexHamiltonians is investigated. It is shown that if an N-D Hamiltonian is pseudo Hermitian and anyeigenfunction of it retains π_αT symmetry t...
Project supported in part by T.D.Lee's NNSF Grant,National Natural Science Foundation of China,Foundation of Ph.D Directing Programme of Chinese Universities and the Chinese Academy of Sciences.
A quantum model of a real scalar field with local operator gauge symmetry is discussed. In the localized theory, in order to keep the local operator gauge symmetry, an operator gauge potential Bμ is needed. By combin...
Project supported in part by the Foundation of Ph.D.Directing Program of Chinese University,Prof.T.D.Lee's NNSC Grant;the National Natural Science Foundation of China and grant LWTV/1298 of Chinese Academy of Sciences.
A quantum mechanical model with one bosonic degree of freedom is discussed in detail. Conventionally, when a quantum mechanical model is constructed, one must know the corresponding classical model. And by applying th...