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quant-ph2005
Unusual scalar products in Hilbert space of Quantum Mechanics: non-Hermitian square-well model with two coupled channels
Miloslav Znojil
A pseudo-Hermitian coupled-channel square-well model is proposed, solved and discussed. The domain of parameters is determined where all the bound-state energies (twice degenerate…
quant-ph2004★ 12 cited
Linear representation of energy-dependent Hamiltonians
Miloslav Znojil
Effective (i.e., subspace-constrained) Hamiltonians become, by construction, energy-dependent while all the energy-dependent forces prove non-linear because the energy itself is me…
quant-ph2003★ 1 cited
Energy-dependent Hamiltonians and their pseudo-Hermitian interpretation
Miloslav Znojil, Hynek Bila, Vit Jakubsky
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-depend…