scholarly journals Exact solutions for functionally graded pressure vessels in a uniform magnetic field

2006 ◽  
Vol 43 (18-19) ◽  
pp. 5570-5580 ◽  
Author(s):  
H.L. Dai ◽  
Y.M. Fu ◽  
Z.M. Dong
Keyword(s):  
Magnetic Field ◽  
Exact Solutions ◽  
Uniform Magnetic Field ◽  
Pressure Vessels ◽  
Functionally Graded

Exact solutions for stresses in functionally graded pressure vessels

2001 ◽  
Vol 32 (8) ◽  
pp. 683-686 ◽  
Author(s):  
Naki Tutuncu ◽  
Murat Ozturk
Keyword(s):  
Exact Solutions ◽  
Pressure Vessels ◽  
Functionally Graded

scholarly journals Revisiting the elastic solution for an inner-pressured functionally graded thick-walled tube within a uniform magnetic field

2018 ◽  
Vol 39 (10) ◽  
pp. 1485-1498 ◽  
Author(s):  
Libiao Xin ◽  
Yanbin Li ◽  
Dongmei Pan ◽  
Guansuo Dui ◽  
Chengjian Ju
Keyword(s):  
Magnetic Field ◽  
Uniform Magnetic Field ◽  
Functionally Graded ◽  
Elastic Solution

scholarly journals The exact solutions of a (2 + 1)-dimensional Dirac oscillator under a magnetic field in the presence of a minimal length

2015 ◽  
Vol 93 (5) ◽  
pp. 542-548 ◽  
Author(s):  
Abdelmalek Boumali ◽  
Hassan Hassanabadi
Keyword(s):  
Magnetic Field ◽  
Exact Solutions ◽  
Momentum Space ◽  
Uniform Magnetic Field ◽  
Hypergeometric Functions ◽  
Minimal Length ◽  
Wave Functions ◽  
Two Dimensional ◽  
Dirac Oscillator ◽  
Energy Eigenvalues

Minimal length of a two-dimensional Dirac oscillator is investigated in the presence of a uniform magnetic field and illustrates the wave functions in the momentum space. The energy eigenvalues are found and the corresponding wave functions are calculated in terms of hypergeometric functions.

scholarly journals A quasi-exactly solvable model: Two charges in a magnetic field subject to a non-Coulomb mutual interaction

2015 ◽  
Vol 29 (29) ◽  
pp. 1550204
Author(s):  
Michael Kreshchuk
Keyword(s):  
Magnetic Field ◽  
Exact Solutions ◽  
Coulomb Interaction ◽  
Differential Form ◽  
Uniform Magnetic Field ◽  
Solvable Model ◽  
Mutual Interaction ◽  
Planar Motion ◽  
Exactly Solvable Model ◽  
Exactly Solvable

In this paper, we extend the class of QM problems which permit for quasi-exact solutions. Specifically, we consider planar motion of two interacting charges in a constant uniform magnetic field. While Turbiner and Escobar–Ruiz (2013) addressed the case of the Coulomb interaction between the particles, we explore three other potentials. We do this by reducing the appropriate Hamiltonians to the second-order polynomials in the generators of the representation of SL(2, C) group in the differential form. This allows us to perform partial diagonalization of the Hamiltonian and to reduce the search for the first few energies and the corresponding wavefunctions to an algebraic procedure.

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