An efficient interpolating wavelet collocation scheme for quasi‐exactly solvable Sturm–Liouville problems in ℝ+

2022 ◽  
Author(s):  
Debabrata Singh ◽  
M. K. Saha ◽  
Sayan Banik ◽  
Madan Mohan Panja
Keyword(s):  
Exactly Solvable ◽  
Sturm Liouville ◽  
Collocation Scheme

scholarly journals EFFECTS OF A MIXED VECTOR-SCALAR KINK-LIKE POTENTIAL FOR SPINLESS PARTICLES IN TWO-DIMENSIONAL SPACE–TIME

2007 ◽  
Vol 22 (14n15) ◽  
pp. 2609-2618 ◽  
Author(s):  
ANTONIO S. DE CASTRO
Keyword(s):  
Morse Potential ◽  
Dimensional Space ◽  
Liouville Problem ◽  
Bounded Solutions ◽  
Compton Wavelength ◽  
Apparent Paradox ◽  
Exactly Solvable ◽  
Relativistic Problem ◽  
Dimensional Space Time ◽  
Sturm Liouville

The intrinsically relativistic problem of spinless particles subject to a general mixing of vector and scalar kink-like potentials (~ tanh γx) is investigated. The problem is mapped into the exactly solvable Sturm–Liouville problem with the Rosen–Morse potential and exact bounded solutions for particles and antiparticles are found. The behavior of the spectrum is discussed in some detail. An apparent paradox concerning the uncertainty principle is solved by recurring to the concept of effective Compton wavelength.

scholarly journals Exactly solvable quantum Sturm–Liouville problems

2009 ◽  
Vol 50 (7) ◽  
pp. 072102 ◽  
Author(s):  
Şirin A. Büyükaşık ◽  
Oktay K. Pashaev ◽  
Esra Tigrak-Ulaş
Keyword(s):  
Exactly Solvable ◽  
Solvable Quantum ◽  
Sturm Liouville

Exactly Solvable Chaos as Communication Waveforms

2014 ◽  
Vol 2 ◽  
pp. 217-220 ◽  
Author(s):  
Ned J. Corron ◽  
Jonathan N. Blakely
Keyword(s):  
Exactly Solvable

Sturm-Liouville Problem for Stationary Differential Operator with Nonlocal Two-Point Boundary Conditions

2006 ◽  
Vol 11 (1) ◽  
pp. 47-78 ◽  
Author(s):  
S. Pečiulytė ◽  
A. Štikonas
Keyword(s):  
Boundary Condition ◽  
Differential Operator ◽  
Boundary Conditions ◽  
Nonlocal Boundary Condition ◽  
Nonlocal Boundary ◽  
Liouville Problem ◽  
Complex Case ◽  
Qualitative Behavior ◽  
Point Boundary ◽  
Sturm Liouville

The Sturm-Liouville problem with various types of two-point boundary conditions is considered in this paper. In the first part of the paper, we investigate the Sturm-Liouville problem in three cases of nonlocal two-point boundary conditions. We prove general properties of the eigenfunctions and eigenvalues for such a problem in the complex case. In the second part, we investigate the case of real eigenvalues. It is analyzed how the spectrum of these problems depends on the boundary condition parameters. Qualitative behavior of all eigenvalues subject to the nonlocal boundary condition parameters is described.

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