Results 11 to 20 of about 2,622 (64)
Lower bound for the ground state energy of the no-pair Hamiltonian [PDF]
, 1997 A lower bound for the ground state energy of a one particle relativistic Hamiltonian - sometimes called no-pair operator - is provided.Comment: 5 pages, 1 figure, 1 table, Latex2e (amssymb,amsmath ...
Bethe +15 more
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Quantum vortices in systems obeying a generalized exclusion principle
, 2001 The paper deals with a planar particle system obeying a generalized exclusion principle (EP) and governed, in the mean field approximation, by a nonlinear Schroedinger equation.
A. M. Scarfone +31 more
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, 1996 We calculate the WKB series for the angular momentum and the non--relativistic 3-dim Kepler problem. This is the first semiclassical treatment of the angular momentum for terms beyond the leading WKB approximation.
Robnik, Marko, Salasnich, Luca
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All Hermitian Hamiltonians Have Parity [PDF]
, 2002 It is shown that if a Hamiltonian $H$ is Hermitian, then there always exists an operator P having the following properties: (i) P is linear and Hermitian; (ii) P commutes with H; (iii) P^2=1; (iv) the nth eigenstate of H is also an eigenstate of P with ...
Bender C M +6 more
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Groundstate with Zero Eigenvalue for Generalized Sombrero-shaped Potential in $N$-dimensional Space [PDF]
, 2007 Based on an iterative method for solving the goundstate of Schroedinger equation, it is found that a kind of generalized Sombrero-shaped potentials in N-dimensional space has groundstates with zero eigenvalue.
't Hooft G, Jackiw R, Zhao Wei-Qin
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Dirac oscillator in DSR: A comparative study of Magueijo–Smolin and Amelino-Camelia models
Physics Letters BThis investigation examines the one-dimensional Dirac oscillator in the framework of Doubly Special Relativity (DSR), with a comparative analysis of the Magueijo–Smolin (MS) and Amelino-Camelia (AC) formulations up to order O(E2/k2).
Nosratollah Jafari, Abdelmalek Boumali
doaj +1 more source
, 2011 The approximate analytical bound state solution of the Schr\"odinger equation for the Manning-Rosen potential is carried out by taking a new approximation scheme to the orbital centrifugal term. The Nikiforov-Uvarov method is used in the calculations. We
Ikhdair, Sameer M.
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Eigenvalues and eigenfunctions of the anharmonic oscillator $V(x,y)=x^{2}y^{2}$ [PDF]
, 2013 We obtain sufficiently accurate eigenvalues and eigenfunctions for the anharmonic oscillator with potential $V(x,y)=x^{2}y^{2}$ by means of three different methods.
Fernández, Francisco M., Garcia, Javier
core +4 more sources
Perturbation Theory for Arbitrary Coupling Strength ?
, 2018 We present a \emph{new} formulation of perturbation theory for quantum systems, designated here as: `mean field perturbation theory'(MFPT), which is free from power-series-expansion in any physical parameter, including the coupling strength.
Mahapatra, B. P., Pradhan, N. B.
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Improving the Convergence of an Iterative Algorithm Proposed By Waxman [PDF]
, 2006 In the iterative algorithm recently proposed by Waxman for solving eigenvalue problems, we point out that the convergence rate may be improved. For many non-singular symmetric potentials which vanish asymptotically, a simple analytical relationship ...
Andrew R A +3 more
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