415 citations
- Tsinghua UniversityCN582 papers
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quant-ph1999★ 39 cited
A New Class of Adiabatic Cyclic States and Geometric Phases for Non-Hermitian Hamiltonians
Ali Mostafazadeh
For a T-periodic non-Hermitian Hamiltonian H(t), we construct a class of adiabatic cyclic states of period T which are not eigenstates of the initial Hamiltonian H(0). We show that…
quant-ph1999★ 2 cited
Comment on Identical Motion in Classical and Quantum Mechanics
Ali Mostafazadeh
Makowski and Konkel [Phys. Rev. A 58, 4975 (1998)] have obtained certain classes of potentials which lead to identical classical and quantum Hamilton-Jacobi equations. We obtain th…
quant-ph1998★ 34 cited
Relativistic Adiabatic Approximation and Geometric Phase
Ali Mostafazadeh
A relativistic analogue of the quantum adiabatic approximation is developed for Klein-Gordon fields minimally coupled to electromagnetism, gravity and an arbitrary scalar potential…