2008
DOI: 10.1063/1.2821102
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Stabilization of resonance states by an asymptotic Coulomb potential

Abstract: The capability of using stabilization method with the asymptotic Coulomb potential for accurate resonance state parameter calculations is investigated for the one-dimensional model problem with a single open channel. It is shown that the replacement of the potential box conditions by the quantization with asymptotic Coulomb potential does not yield the significant errors in energy and width of resonances if the additional mathematical conditions are correctly taken into account. Analytical results are confirme… Show more

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Cited by 15 publications
(6 citation statements)
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“…Metadynamics is part of the family of adaptive bias methods, where a history-dependent bias is modified over time to ideally achieve a fully diffusive behavior on the chosen reaction coordinate. Among other methods in this family, we discuss metadynamics here because of its widespread use and availability in the computational drug discovery community. , In the first version of metadynamics, constrained and coarse-grained simulations were used . Later, a continuous version emerged .…”
Section: Enhanced Sampling Methodsmentioning
confidence: 99%
“…Metadynamics is part of the family of adaptive bias methods, where a history-dependent bias is modified over time to ideally achieve a fully diffusive behavior on the chosen reaction coordinate. Among other methods in this family, we discuss metadynamics here because of its widespread use and availability in the computational drug discovery community. , In the first version of metadynamics, constrained and coarse-grained simulations were used . Later, a continuous version emerged .…”
Section: Enhanced Sampling Methodsmentioning
confidence: 99%
“…These include methods that explicitly solve the scattering problem , as well as approaches that involve modifications of standard quantum chemical methods. Examples of the latter include the complex scaling, complex absorbing potential (CAP), and stabilization methods. ,,,− In addition, one can add a perturbation to the system to convert the TA to a bound state and then extrapolate to zero perturbation. …”
Section: Introductionmentioning
confidence: 99%
“…The investigation of continuum and resonant states is an important subject in quantum physics. For the theoretical determination of resonant parameters (the energy and the width), in addition to many approaches which are based on the connection of the unbound states (including resonances and antibound or virtual states) and the poles of the S matrix, several bound-state-like methods have been developed, e.g., the complex scaling method (CSM) [1][2][3][4][5][6][7][8][9], the complex absorbing potential (CAP) method [10,11], the analytical continuation in the coupling constant (ACCC) approach [12][13][14][15][16][17][18][19][20] and the real stabilization method (RSM) [21][22][23][24][25][26][27][28][29][30].…”
Section: Introductionmentioning
confidence: 99%