Results 41 to 50 of about 78,766 (164)
Modification of Crum's Theorem for `Discrete' Quantum Mechanics [PDF]
, 2010 Crum's theorem in one-dimensional quantum mechanics asserts the existence of an associated Hamiltonian system for any given Hamiltonian with the complete set of eigenvalues and eigenfunctions.
Garcia-Gutierrez, Leonor +2 more
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ON THE DIFFERENCE EQUATION ASSOCIATED WITH THE DOUBLY PERIODIC GROUP AND ITS APPLICATIONS
Проблемы анализа, 2020 Let D be a rectangle. We consider a four-element linear difference equation defined on D. The shifts of this equation are the generating transformations of the corresponding doubly periodic group and their inverse transformations.
F. N. Garif’yanov, E. V. Strezhneva
doaj +1 more source
, 2003 The intertwining operator technique is applied to difference Schroedinger equations with operator-valued coefficients. It is shown that these equations appear naturally when a discrete basis is used for solving a multichannel Schroedinger equation.
A A Suzko +13 more
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Supersymmetric Quantum Mechanics and Solvable Models [PDF]
, 2012 We review solvable models within the framework of supersymmetric quantum mechanics (SUSYQM). In SUSYQM, the shape invariance condition insures solvability of quantum mechanical problems.
Bougie, Jonathan +3 more
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A relativistic model of the $N$-dimensional singular oscillator
, 2006 Exactly solvable $N$-dimensional model of the quantum isotropic singular oscillator in the relativistic configurational $\vec r_N$-space is proposed. It is shown that through the simple substitutions the finite-difference equation for the $N$-dimensional
Atakishiyev N M +15 more
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Note on the binomial partial difference equation
Electronic Journal of Qualitative Theory of Differential Equations, 2015 Some formulas for the "general solution" to the binomial partial difference equation $$c_{m,n}=c_{m-1,n}+c_{m-1,n-1},$$ are known in the literature. However, it seems that there is no such a formula on the most natural domain connected to the equation ...
Stevo Stevic
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Discrete Quantum Mechanics [PDF]
, 2011 A comprehensive review of the discrete quantum mechanics with the pure imaginary shifts and the real shifts is presented in parallel with the corresponding results in the ordinary quantum mechanics.
Odake, Satoru, Sasaki, Ryu
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Solvable subclasses of a class of nonlinear second-order difference equations
Advances in Nonlinear Analysis, 2016 We present some solvable subclasses of the class of nonlinear second-order difference equations of the form Axn+1 + Bxn+1xn + Cxnxn-1 + Gxn+1xn-1 + Dxn + Exn-1 + F = 0, n ∈ ℕ0, where the parameters A, B, C, D, E, F, G and the initial values x-1,x0 are ...
Stević Stevo
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Sixteen practically solvable systems of difference equations [PDF]
Advances in Difference Equations, 2019 AbstractClosed-form formulas for general solutions to sixteen hyperbolic-cotangent-type systems of difference equations of interest are obtained, showing their practical solvability and completely solving a solvability problem for some concrete values of delays.
openaire +3 more sources
Quantum transfer matrices for discrete and continuous quasi-exactly solvable problems [PDF]
, 1994 We clarify the algebraic structure of continuous and discrete quasi-exactly solvable spectral problems by embedding them into the framework of the quantum inverse scattering method.
A. Erdelyi +27 more
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