Two and three dimensional Hamiltonians with generalized and ordinary shape invariance symmetry

✍ Scribed by Panahi H., Jafarizadeh M.A.

Year: 2005
Tongue: English
Leaves: 14
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Two and three dimensional Hamiltonians with generalized and ordinary shape invariancesymmetry have been obtained by Fourier transforming over some coordinatesof the SU(3) Casimir operator defined on SUs3d/SUs2d symmetric space. It isshown that the generalized shape invariance of the two dimensional Hamiltonian isequivalent to SU(3) symmetry while in the three dimensional one, the ordinaryshape invariance is equivalent to contracted SU(3) and there is one to one correspondencebetween the representations of the generalized shape invariance symmetryof the two (three) dimensional Hamiltonian and SU(3) [contracted SU(3)]Verma bases.

📜 SIMILAR VOLUMES

📁 Get in shape : two-dimensional and three-dimensional shapes

✍ Colson, Rob, 1971- 📂 Library 📅 2018 🏛 New York, NY : Children's Press 🌐 English

32 p. : 26 cm

Two and Three Dimensional Calculus with

📁 Two and Three Dimensional Calculus with Applications in Science and Engineering

✍ Phil Dyke 📂 Library 📅 2018 🏛 Wiley 🌐 English

Two and three dimensional calculus. With

📁 Two and three dimensional calculus. With applications in science and engineering

✍ Dyke, Phil P. G 📂 Library 📅 2018 🏛 Wiley Blackwell 🌐 English

Elliptic two-dimensional invariant tori

📁 Elliptic two-dimensional invariant tori for the planetary three-body problem

✍ Biasco L., Chierchia L., Valdinoci E. 📂 Library 📅 2002 🌐 English

Excitations in Two-Dimensional and Three

📁 Excitations in Two-Dimensional and Three-Dimensional Quantum Fluids

✍ Henry R. Clyde (auth.), A. F. G. Wyatt, H. J. Lauter (eds.) 📂 Library 📅 1991 🏛 Springer US 🌐 English

<p>The study of quantum fluids in three dimensions has been an important area for many years as it embraces Bose-Einstein condensation, superfluidity and macroscopic quantisation. These are fundamental aspects of physics which can be studied in liquid 4He. In contrast, quantum fluids in two dimensio

Symplectic Invariants and Hamiltonian Dy

📁 Symplectic Invariants and Hamiltonian Dynamics

✍ Helmut Hofer, Eduard Zehnder (auth.) 📂 Library 📅 2011 🏛 Birkhäuser Basel 🌐 English

<p><p>The discoveries of the last decades have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: symplectic topology. Surprising rigidity phenomena demonstrate that the nature of symplectic mappings is very different from that of volume preservi