Compact equations for the envelope theory

[en] The envelope theory is a method to easily obtain approximate, but reliable, solutions for some quantum many-body problems. Quite general Hamiltonians can be considered for systems composed of an arbitrary number of different particles in D dimensions. In the case of identical particles, a compact set of 3 equations can be written to find the eigensolutions. This set provides also a nice interpretation and a starting point to improve the method. It is shown here that a similar set of 7 equations can be determined for a system containing an arbitrary number of two different particles.

Research center :

AGIF - Algèbre, Géométrie et Interactions fondamentales

Disciplines :

Physics

Author, co-author :

Cimino, Lorenzo ; Université de Mons > Faculté des Sciences > Service de Physique nucléaire et subnucléaire

Semay, Claude ; Université de Mons > Faculté des Sciences > Service de Physique nucléaire et subnucléaire

Language :

English

Title :

Compact equations for the envelope theory

Publication date :

28 January 2022

Journal title :

Brazilian Journal of Physics

ISSN :

0103-9733

Publisher :

Sociedade Brasileira de Fisica, Brazil

Volume :

Peer reviewed :

Peer Reviewed verified by ORBi

Research unit :

S824 - Physique nucléaire et subnucléaire

Research institute :

R150 - Institut de Recherche sur les Systèmes Complexes

Name of the research project :

Physique Nucléaire Théorique - Fédération Wallonie Bruxelles

Commentary :

https://link.springer.com/epdf/10.1007/s13538-021-01047-7?sharing_token=9Debj1zs9DypDYadMCmKMfe4RwlQNchNByi7wbcMAY4B4AsDJJg8yr09rrsEPG6b1KHhf3TgdKIZKo0ar8_0pU5U1cDl233zxBEXR5JTSlKGot1YF6vFAhzI-gvkfxfGx-_Y59g1FmJEQjRme_gRTrm4m673_Wp8qO2HDCpUihA%3D

Available on ORBi UMONS :

since 13 August 2021

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Bibliography

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