Browsing by Subject "Variational principles"

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Applying the variational principle to (1+1) dimensional relativistic quantum field theories

Haegeman, Jutho; Cirac, J. Ignacio; Osborne, Tobias J.; Verschelde, Henri; Verstraete, Frank (Trieste : International School for Advanced Studies, 2010)

We extend the recently introduced continuous matrix product state (cMPS) variational class to the setting of (1+1)-dimensional relativistic quantum field theories. This allows one to overcome the difficulties highlighted ...
Nonlocal strong forms of thin plate, gradient elasticity, magneto-electro-elasticity and phase-field fracture by nonlocal operator method

Ren, Huilong; Zhuang, Xiaoying; Oterkus, Erkan; Zhu, Hehua; Rabczuk, Timon (London : Springer, 2021)

The derivation of nonlocal strong forms for many physical problems remains cumbersome in traditional methods. In this paper, we apply the variational principle/weighted residual method based on nonlocal operator method for ...
Time evolution of open quantum many-body systems

Overbeck, Vincent Raphael; Weimer, Hendrik (College Park, MD : American Physical Society, 2016)

We establish a generic method to analyze the time evolution of open quantum many-body systems. Our approach is based on a variational integration of the quantum master equation describing the dynamics and naturally connects ...

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