ua nt - p h / 03 12 14 8 v 1 1 7 D ec 2 00 3 Energy - dependent Hamiltonians and their pseudo - Hermitian interpretation
نویسنده
چکیده
The concept of energy-dependent forces in quantum mechanics is re-analysed. We suggest a simplification of their study via the representation of each self-adjoint and energy-dependent Hamiltonian H = H(E) with real spectrum by an auxiliary non-Hermitian operator K which remains energy-independent. Practical merits of such an approach to the Schrödinger equations with energy-dependent potentials are illustrated using their quasi-exactly solvable example.
منابع مشابه
ua nt - p h / 03 02 14 1 v 1 1 9 Fe b 20 03 C , PT , CPT invariance of pseudo - Hermitian Hamiltonians Zafar
We propose construction of a unique and definite metric (η +), time-reversal operator (T) and an inner product such that the pseudo-Hermitian matrix Hamiltonians are C, PT, CPT invariant and PT(CPT)-norm is indefinite (definite). Here, P and C denote the generalized symmetries : parity and charge-conjugation respectively. The limitations of the other current approaches have been brought out.
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متن کاملar X iv : q ua nt - p h / 07 01 03 2 v 1 8 J an 2 00 7 SLOCC invariants and SLOCC classification of four qubits 1
X iv :q ua nt -p h/ 07 01 03 2v 1 8 J an 2 00 7 SLOCC invariants and SLOCC classification of four qubits 1 Dafa Li, Xiangrong Li, Hongtao Huang, Xinxin Li a Dept of mathematical sciences, Tsinghua University, Beijing 100084 CHINA b Department of Mathematics, University of California, Irvine, CA 92697-3875, USA c Electrical Engineering and Computer Science Department University of Michigan, Ann ...
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