Related papers: 1/N-expansion and nonclassical state generation in…

We present a general analytic expansion in powers of $1/n$ of the resonant states of quantum-mechanical systems, where $n=1,2,3,\cdots$ is the excitation number. Explicit formulas are obtained for some potential barrier models.

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Interaction of intense laser beam with an inversion symmetric third order nonlinear medium is modeled as a quartic anharmonic oscillator. A first order operator solution of the model Hamiltonian is used to study the possibilities of…

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This paper ("Two-Level Chromophore and Irreversibility", which can be found at arXiv:0804.0086) has been withdrawn by the author due to too many errors and misleading statements. This paper has been superseded by Section 2.11 and Chapter 7…

This paper has been withdrawn by the authors since it was strongly elaborated, some new sections appeared. This made the paper significantly differ from current version. Besides two new authors participated in the work. So the authors…

This paper has been withdrawn by the author due to a coming paper completely superseding it.

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The article has been withdrawn by the author due to the existence of counterexamples.

This paper has been withdrawn by the author because overcame by arXiv:0910.4694

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An alternative perturbative expansion in quantum mechanics which allows a full expression of the scaling arbitrariness is introduced. This expansion is examined in the case of the anharmonic oscillator and is conveniently resummed using a…

A new recursion procedure for deriving renormalized perturbation expansions for the one-dimensional anharmonic oscillator is offered. Based upon the $\hbar$-expansions and suitable quantization conditions, the recursion formulae obtained…