Quantum mechanics of damped systems

Details Quantum mechanics of damped systems Quantum mechanics of damped systems

2003-01-17

arxiv.org/abs/math-ph/0301024v3

J. Math. Phys. 44 (2003) 3718-3733

Physics

Mathematical Physics

19 pages

Scientific paper

10.1063/1.1599074

We show that the quantization of a simple damped system leads to a self-adjoint Hamiltonian with a family of complex generalized eigenvalues. It turns out that they correspond to the poles of energy eigenvectors when continued to the complex energy plane. Therefore, the corresponding generalized eigenvectors may be interpreted as resonant states. We show that resonant states are responsible for the irreversible quantum dynamics of our simple model.

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