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quantum states, we give the explicit solutions of the \seq with $E=0$ for the class of potentials $V=-|\gamma|/r^{u}$, where $-\infty < u < \infty$. For $u > 2$, these solutions are normalizable and correspond to bound states, if the angular momentum quantum number $l>0$...
Electric dipole in a magnetic field: Bound states without classical turning points We show that both rigid and nonrigid dipoles can be trapped by an uniform external magnetic field in classical mechanics. The trapped states of the dipole ... DL Pursey,NASM Shirokov - 《Theoretical & Mathematical...
In the framework of the weakly-coupled P(φ) 2 models we summarize some of the problems raised by a new method for finding bound states, called the variational perturbation method. To show first its interest, we present a result of this method, from which the existence of a bound state ...
we demonstrate the practical application of these algorithms to challenging quantum computations of relevance for chemistry and nuclear physics, using the deuteron-binding energy and molecular hydrogen binding and excited state energies as examples. With the correct choice of initial and final states, we...
Quantum key distribution (QKD) promises unconditional security in data communication and is currently being deployed in commercial applications. Nonetheless, before QKD can be widely adopted, it faces a number of important challenges such as secret key r
Most prior art Type II superconductors require cryogenic temperatures to function, which limits their practical appli- cations. Typical Type II superconductors retain their super- conductivity in the presence of strong magnetic fields by the presence of non-conducting/non-superconducting regions or 20 “...
We show the existence of bound states in the continuum (BICs) in quantum billiards (QBs) that are opened by attaching single-channel leads to them. They may be observed by varying an external parameter continuously, e.g., the shape of the QB. At some values of the parameter, resonance ...
bound state formationhydrogen pressure isothermsThe quantum statistical treatment of the Rutherford model, considering matter as a system of point charges (electrons and nuclei), is analyzed. First, in the historical context, the solutions of different fundamental problems, such as the divergence of ...
Using the EAT, we show that practical and realistic protocols can be used to achieve the unprecedented level of DI security. The next major challenge in experimental implementations is a field demonstration of a DIQKD protocol. This would provide the strongest cryptographic experiment ever realised....