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pro vyhledávání: '"Fulde, Peter"'
Autor:
Fulde, Peter
The dimension of the Hilbert space needed for the description of an interacting electron system increases exponentially with electron number $N$. As pointed out by W. Kohn this exponential wall problem (EWP) limits the concept of many-electron wavefu
Externí odkaz:
http://arxiv.org/abs/2312.06523
Autor:
Fulde, Peter
Publikováno v:
Simplified version of J. Chem. Phys. 150, 030901 (2019)
The Hilbert space for an interacting electron system increases exponentially with electron number $N$. This limits the concept of wavefunctions $\psi$ based on solutions of the Schr\"odinger equation to $N \leq N_0$ with $N_0 \simeq 10^3$ \cite{Kohn1
Externí odkaz:
http://arxiv.org/abs/2005.03072
Autor:
Fulde, Peter
Wavefunctions for large electron numbers $N$ are plagued by the Exponential Wall Problem (EWP), i.e., an exponential increase in the dimensions of Hilbert space with $N$. Therefore they loose their meaning for macroscopic systems, a point stressed in
Externí odkaz:
http://arxiv.org/abs/1803.06834
Autor:
Fulde, Peter
Wavefunctions for large electron numbers suffer from an exponential growth of the Hilbert space which is required for their description. In fact, as pointed out by W. Kohn, for electron numbers $N > N_0$ where $N_0 \approx 10^3$ they become meaningle
Externí odkaz:
http://arxiv.org/abs/1705.08144
Autor:
Fulde, Peter, Stoll, Hermann
An alternative to Density Functional Theory are wavefunction based electronic structure calculations for solids. In order to perform them the Exponential Wall (EW) problem has to be resolved. It is caused by an exponential increase of the number of c
Externí odkaz:
http://arxiv.org/abs/1703.02572
Publikováno v:
J. Phys. Soc. Jpn., Vol.86, No.8, Article ID: 083701 (2017)
We derive an analytic expression for the temperature dependent critical magnetic field parallel to ultrathin superconducting films with Rashba spin-orbit interaction. Thereby we cover the range from small to large spin-orbit interactions $\lambda$ co
Externí odkaz:
http://arxiv.org/abs/1701.09121
Autor:
Xu, Lei, Bogdanov, Nikolay A., Princep, Andrew, Fulde, Peter, Brink, Jeroen van den, Hozoi, Liviu
Publikováno v:
Npj Quantum Materials 1, 16029 (2016)
For 4$d^1$ and 5$d^1$ spin-orbit-coupled electron configurations, the notion of nonmagnetic j=3/2 quartet ground state discussed in classical textbooks is at odds with the observed variety of magnetic properties. Here we throw fresh light on the elec
Externí odkaz:
http://arxiv.org/abs/1612.05158
Autor:
Fulde, Peter
Electronic structure calculations for solids based on many-electron wavefunctions have been hampered by the argument that for large electron numbers wavefunctions are not a legitimate scientific concept, because they face an exponential wall problem.
Externí odkaz:
http://arxiv.org/abs/1509.08712
Autor:
Stoyanova, Alexandrina, Mitrushchenkov, Alexander O., Hozoi, Liviu, Stoll, Hermann, Fulde, Peter
The quasiparticle bands of diamond, a prototype covalent insulator, are herein studied by means of wave-function electronic-structure theory, with emphasis on the nature of the correlation hole around a bare particle. Short-range correlations are in
Externí odkaz:
http://arxiv.org/abs/1402.4962