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Exactly solvable 1-dimensional Schr¨odinger equations play an important role in quantum physics. The best known are the harmonic oscillator and the radial equation for the hydrogen atom, which are cov...
Operators for the Aharonov-Anandan and Samuel-Bhandari Phases
Operators Aharonov-Anandan Samuel-Bhandari Phases
2010/4/7
We construct an operator for the Aharonov-Anandan phase for time independent Hamiltonians. This operator is shown to generate the motion of cyclic quantum systems through an equation of evolution invo...
Noether Theorem and the quantum mechanical operators
Noether Theorem quantum mechanical operators
2010/10/18
We show that the quantum mechanical momentum and angular momentum operators are fixed by
the Noether theorem for the classical Hamiltonian field theory we proposed.Recently, we have proposed a classi...
Analogue Between Dynamic Hamiltonian-Operators of a Mesoscopic
Ring Carrying Persistent Current and a Josephson Junction
phase operator for mesoscopic ring Josephson junction
persistent current entangled state
2007/8/15
2006Vol.46No.5pp.935-937DOI:
Analogue Between Dynamic Hamiltonian-Operators of a Mesoscopic
Ring Carrying Persistent Current and a Josephson Junction
FAN Hong-Yi1,2,3 and WANG Ji-...
Quantum Mechanical Hilbert Transformation for Normally Ordering
Coulomb Potential-Type Operators
quantum Hilbert transform normally ordering Coulomb potential
2007/8/15
2006Vol.46No.2pp.213-216DOI:
Quantum Mechanical Hilbert Transformation for Normally Ordering
Coulomb Potential-Type Operators
FAN Hong-Yi1,2 and FU Liang3
1 Department o...
Normally Ordered Quantum Gate Operators for Continuum Variables as
Images of Classical Transforms
quantum gate operators IWOP technique
2007/8/15
2003Vol.39No.3pp.271-274DOI:
Normally Ordered Quantum Gate Operators for Continuum Variables as
Images of Classical Transforms
FAN Hong-Yi,1,2 LU Hai-Liang,1 and FAN Yue2
...
Linear Transformation Theory of Quantum Field Operators and Its
Applications
linear quantum transformation CPT transformations
gauge field transformations
2007/8/15
2003Vol.39No.3pp.291-294DOI:
Linear Transformation Theory of Quantum Field Operators and Its
Applications
MA Lei
Key Laboratory for Optical and Magnetic Resonance
Spectr...
Realization of the N(odd)-Dimensional Quantum Euclidean Space by
Differential Operators
noncommutative quantum space differential operator
2007/8/15
2004Vol.41No.2pp.175-178DOI:
Realization of the N(odd)-Dimensional Quantum Euclidean Space by
Differential Operators
LI Yun and JING Si-Cong
Department of Modern Physics...