## Found 1,253 Documents (Results 1–100)

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### On the delocalization of a quantum particle under the adiabatic evolution generated by a one-dimensional Schrödinger operator.(English. Russian original)Zbl 07638248

Math. Notes 112, No. 5, 726-740 (2022); translation from Mat. Zametki 112, No. 5, 752-769 (2022).
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### On the transformation operator for the Schrödinger equation with an additional increasing potential.(English)Zbl 1499.34120

MSC:  34A55 34L40
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### On a boundary value problem with spectral parameter quadratically contained in the boundary condition.(English)Zbl 07619523

MSC:  34A55 34B24 34L40
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### Inverse resonance problem with partial information on the interval.(English)Zbl 07584253

MSC:  34A55 34L40 42A38
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### To the inverse spectral problem for a perturbed oscillator on the semiaxis.(English)Zbl 1487.34061

MSC:  34A55 34L40
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MSC:  34L40
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### Isomorphisms of partial differential equations in Clifford analysis.(English)Zbl 1492.30096

MSC:  30G35 34L40 35E99
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### Reflectionless canonical systems. I: Arov gauge and right limits.(English)Zbl 07462027

MSC:  47A45 47A48 34L40
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### WKB-based scheme with adaptive step size control for the Schrödinger equation in the highly oscillatory regime.(English)Zbl 1491.65073

MSC:  65L60 34L40
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### The zeros of modified Bessel functions as functions of their order.(English)Zbl 07619488

MSC:  34A55 34L40
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### Recovery of the nearest potential field from the $$m$$ observed eigenvalues.(English)Zbl 1493.34052

MSC:  34A55 34L40
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### The initial-boundary value for the combined Schrödinger and Gerdjikov-Ivanov equation on the half-line via the Riemann-Hilbert approach.(English. Russian original)Zbl 1482.81011

Theor. Math. Phys. 209, No. 2, 1537-1551 (2021); translation from Teor. Mat. Fiz. 209, No. 2, 258-273 (2021).
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### Trace formulas for the modified Mathieu equation.(English)Zbl 07438907

Exner, Pavel (ed.) et al., Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 427-443 (2021).
MSC:  47E05 34E05
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### Emergence of new category of continued fractions from the Sturm-Liouville problem and the Schrödinger equation.(English)Zbl 1480.11166

MSC:  11Y65 34B24 65L20
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### On the Schrödinger operator with a periodic PT-symmetric matrix potential.(English)Zbl 1492.34087

MSC:  34L40 34L15 34L05
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### Sinc methods for Lévy-Schrödinger equations.(English)Zbl 1476.34015

Beghin, Luisa (ed.) et al., Nonlocal and fractional operators. Selected papers based on the presentations at the international workshop, Rome, Italy, April 12–13, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 26, 23-56 (2021).
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### Semiclassical asymptotics for a difference Schrödinger equation with two coalescent turning points.(English. Russian original)Zbl 1476.39022

Math. Notes 109, No. 6, 990-994 (2021); translation from Mat. Zametki 109, No. 6, 948-953 (2021).
MSC:  39A45 39A12 34L40
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### Schrödinger operators generated by locally constant functions on the Fibonacci subshift.(English)Zbl 1467.35117

MSC:  35J10 35P05
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### Minimization of eigenvalues for the Camassa-Holm equation.(English)Zbl 1467.34089

MSC:  34L15 34L40
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### Third-order operators with three-point conditions associated with Boussinesq’s equation.(English)Zbl 07305508

MSC:  47E05 34L20 34L40
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### Hill’s operators with the potentials analytically dependent on energy.(English)Zbl 07283595

MSC:  47E05 34L20 34L40
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### Direct and inverse scattering for the matrix Schrödinger equation.(English)Zbl 1460.34004

Applied Mathematical Sciences 203. Cham: Springer (ISBN 978-3-030-38430-2/hbk; 978-3-030-38433-3/pbk; 978-3-030-38431-9/ebook). xiii, 624 p. (2021).
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### Generalized primitive potentials.(English. Russian original)Zbl 1479.35755

Dokl. Math. 101, No. 2, 117-121 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 47-52 (2020).
MSC:  35Q53 37K10 34L40
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### Resonances and viscosity limit for the Wigner-von Neumann-type Hamiltonian.(English)Zbl 1471.35106

MSC:  35J10 35P25
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### On the connection between the solutions to the Dirac and Weyl equations and the corresponding electromagnetic four-potentials.(English)Zbl 1451.81230

MSC:  81Q05 34L40 81V10
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### An asymptotic expansion of the trace of the heat kernel of a singular two-particle contact interaction in one-dimension.(English)Zbl 1473.35130

Atay, Fatihcan M. (ed.) et al., Discrete and continuous models in the theory of networks. Selected contributions from the participants of the research group hosted by the ZiF – Center for Interdisciplinary Research, University of Bielefeld, Bielefeld, Germany, October 2012 – September 2017 and the final conference, University of Bielefeld, Bielefeld, Germany, November 27 – December 1, 2017. Cham: Springer. Oper. Theory: Adv. Appl. 281, 127-152 (2020).
MSC:  35J10 35K08
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### Trace formulas for the one-dimensional Stark operator and integrals of motion for the cylindrical Korteweg-de Vries equation.(English. Russian original)Zbl 1453.34108

St. Petersbg. Math. J. 31, No. 5, 903-910 (2020); translation from Algebra Anal. 31, No. 5, 206-215 (2019).
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### Inverse scattering on the half-line for energy-dependent Schrödinger equations.(English)Zbl 1458.34142

MSC:  34L25 34L40
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### A finite difference method with phase-lag and its derivatives equal to zero for problems in chemistry.(English)Zbl 1448.65076

MSC:  65L10 65L05 34L40
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### On the transformation operator for the Schrödinger equation with an additional linear potential.(English. Russian original)Zbl 1447.81110

Funct. Anal. Appl. 54, No. 1, 73-76 (2020); translation from Funkts. Anal. Prilozh. 54, No. 1, 93-96 (2020).
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### Inverse scattering for the one dimensional Schrödinger equation with the energy dependent potential and discontinuty conditions.(English)Zbl 1463.34356

MSC:  34L25 34A55 34L40
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### Strong coupling asymptotics for $$\delta$$-interactions supported by curves with cusps.(English)Zbl 1453.35059

MSC:  35J10 34L40 47A75
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### On the dynamics of the angular momentum of a quantum pendulum.(English)Zbl 1440.81036

MSC:  81Q05 34L40 34C60
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### Inverse spectral problem for the Schrödinger equation with an additional linear potential.(English. Russian original)Zbl 1445.81018

Theor. Math. Phys. 202, No. 1, 58-71 (2020); translation from Teor. Mat. Fiz. 202, No. 1, 66-80 (2020).
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### Series solution of a ten-parameter second-order differential equation with three regular singularities and one irregular singularity.(English. Russian original)Zbl 1445.81021

Theor. Math. Phys. 202, No. 1, 17-29 (2020); translation from Teor. Mat. Fiz. 202, No. 1, 20-33 (2020); correction ibid. 205, No. 1, 1391 (2020).
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### High-order multiscale discontinuous Galerkin methods for the one-dimensional stationary Schrödinger equation.(English)Zbl 1455.65120

MSC:  65L60 34L40
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### On the reducibility of quasiperiodic linear Hamiltonian systems and its applications in Schrödinger equation.(English)Zbl 1444.37045

MSC:  37J06 34C20 34L40
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### The existence of almost-periodic solutions for 1-dimensional nonlinear Schrödinger equation with quasi-periodic forcing.(English)Zbl 1439.81040

MSC:  81Q05 35Q55 35B15
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### Integrable anharmonic potentials for stretching and bending molecular vibrations.(English)Zbl 1433.81094

MSC:  81Q80 81Q05 34L40
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### Transformation operators for spherical Schrödinger operators.(English)Zbl 1423.81187

MSC:  81U20 81Q05 34L40
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### Linearizable boundary value problems for the nonlinear Schrödinger equation in laboratory coordinates.(English)Zbl 1471.35260

MSC:  35Q55 34L40
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### Applications of double well potentials in the collective nuclear motion.(English)Zbl 1449.81016

MSC:  81Q05 34L40
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### The Lippmann-Schwinger formula and one dimensional models with Dirac delta interactions.(English)Zbl 1425.81092

Kuru, Şengül (ed.) et al., Integrability, supersymmetry and coherent states. A volume in honour of Professor Véronique Hussin. In part selected contributions from the 6th international workshop on new challenges in quantum mechanics: integrability and supersymmetry, Valladolid, Spain, June 27–30, 2017. Cham: Springer. CRM Ser. Math. Phys., 309-322 (2019).
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### A representation of the transmutation kernels for the Schrödinger operator in terms of eigenfunctions and applications.(English)Zbl 1428.34134

MSC:  34L40 34A55
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