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【期刊论文】Structures of q-deformed currents
张鉴祖, Jian-zu Zhang a, b
Physics Letters B 554(2003)223-229,-0001,():
-1年11月30日
The non-perturbation and perturbation structures of the q-deformed probability currents are studied. According to two ways of realizing the q-deformed Heisenberg algebra by the undeformed operators, the perturbation structures of two q-deformed probability currents are explored in detail. Locally the structures of two perturbation q-deformed probability currents are different, one is explicitly potential dependent; the other is not. But their total contributions to the whole space are the same.
q-deformed dynamics, Currents, Perturbation structures
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【期刊论文】q-Deformed dynamics and Virial theorem
张鉴祖, Jian-zu Zhang a, b
Physics Letters B 539(2002)162-167,-0001,():
-1年11月30日
In the framework of the q-deformed Heisenberg algebra the investigation of q-deformation of Virial theorem explores that q-deformed quantum mechanics possesses better dynamical property. It is clarified that in the case of the zero potential the theoretical framework for the q-deformed Virial theorem is self-consistent. In the selfadjoint states the q-deformed uncertainty relation essentially deviates from the Heisenberg one.
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【期刊论文】Testing Abelian dyon-fermion bound system
张鉴祖, Jian-Zu Zhang a, b
Physics Letters B 532(2002)215-221,-0001,():
-1年11月30日
Characteristics of Abelian dyon-fermion bound system, parity-violating effects, a new series of energy spectra, effects related to the non-vanishing electric dipole moment, feature of spin orientation etc., are analyzed and compared with hydrogen-like atom. These analyses explore possibility of a new approach of searching for dyons under bound condition.
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【期刊论文】Spectrum of q-deformed Schro
张鉴祖, Jian-zu Zhang a, b,
Physics Letters B 477(2000)361-366,-0001,():
-1年11月30日
The energy spectrum of q-deformed Schrodinger equation is demonstrated. This spectrum includes an exponential factor with new quantum numbers, the q-exciting number and the scaling index. The pattern of quark and lepton masses is qualitatively explained by such a q-deformed spectrum in a composite model. q2000 Elsevier Science B.V. All rights reserved.
q-deformed Schrodinger equation, q-deformed spectrum
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【期刊论文】Perturbative equivalent theorem in q-deformed dynamics
张鉴祖, Jian-zu Zhang a, b
Physics Letters B 517(2001)210-214,-0001,():
-1年11月30日
Corresponding to two ways of realizing the q-deformed Heisenberg algebra by the undeformed variables there are two q-perturbative Hamiltonians with the additional momentum-dependent interactions, one originates from the perturbative expansion of the potential, the other originates from that of the kinetic energy term. At the level of operators, these two q-perturbative Hamiltonians are different. In order to establish a reliable foundation of the perturbative calculations in q-deformed dynamics, except examples of the harmonic-oscillator and the Morse potential demonstrated before, the general q-perturbative equivalent theorem is demonstrated, which states that for any regular potential which is singularity free the expectation values of two q-perturbative Hamiltonians in the eigenstates of the undeformed Hamiltonian are equivalent. For the q-deformed "free" particle case, the perturbative Hamiltonian originated from the kinetic energy term still keeps its general expression, but it does not lead to energy shift.
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