Results 121 to 130 of about 25,004 (307)

Existence, regularity and positivity of ground states for nonlocal nonlinear Schrodinger equations

Electronic Journal of Differential Equations, 2019
We study ground states of a nonlinear Schr\"odinger equation driven by the infinitesimal generator of a rotationally invariant Levy process. The equation includes many special cases such as classical Schrodinger equations, fractional Schrodinger ...
Yong-Chao Zhang
doaj  

A method to obtain approximate solutions to the Schrodinger equation

, 2004
In this paper, we put forward a method to solve the Schrodinger equation with an arbitrary central or monodimensional potential. To check this method we apply it to find the approximate solution for the Schrodinger equation with a Debye potential.
García Rubiano, Jesús, Ruano, FH
core   +1 more source

Squeezed‐Vacuum Bosonic Codes

Advanced Physics Research, EarlyView.
ABSTRACT We introduce a family of bosonic quantum error‐correcting codes built as a rotation‐symmetric superposition of squeezed vacuum states, which promise protection against both loss and dephasing noise channels. The robustness of these “squeezed‐vacuum codes” arises from being arranged at evenly spaced angles in phase‐space, and simultaneously in ...
Nir Gutman, Eliya Blumenthal, Shay Hacohen‐Gourgy, Ariel Orda, Ido Kaminer   +4 more
wiley   +1 more source

Fredholm Determinant and Wronskian Representations of the Solutions to the Schrödinger Equation with a KdV-Potential

Axioms
From the finite gap solutions of the KdV equation expressed in terms of abelian functions we construct solutions to the Schrödinger equation with a KdV potential in terms of fourfold Fredholm determinants.
Pierre Gaillard
doaj   +1 more source

The Laguerre pseudospectral method for the radial Schrodinger equation

, 2015
By transforming dependent and independent variables, radial Schrodinger equation is converted into a form resembling the Laguerre differential equation.
ALICI, HAYDAR, Taşeli, Hasan
core   +1 more source

Quantum Phenomena in Molecular and Biological Systems: A Decoherence‐Based Decision Framework With Falsifiable Predictions and a Failure‐Mode Taxonomy

Advanced Physics Research, EarlyView.
A physics‐grounded framework based on decoherence timescales (τ_dec vs τ_func), Markovian validity, and falsifiability criteria is applied across molecular systems to distinguish where quantum effects are necessary, marginal, or irrelevant. The analysis integrates quantum chemistry, biological quantum mechanisms, and quantum computing under a unified ...
Sarfaraz K. Niazi
wiley   +1 more source

A Two-Grid Algorithm of the Finite Element Method for the Two-Dimensional Time-Dependent Schrödinger Equation

Mathematics
In this paper, we construct a new two-grid algorithm of the finite element method for the Schrödinger equation in backward Euler and Crank–Nicolson fully discrete schemes.
Jianyun Wang, Zixin Zhong, Zhikun Tian, Ying Liu   +3 more
doaj   +1 more source

Quantum Hydrodyanmics and the Schrodinger Equation as a Continuity Equation?

, 2020
In a quantum bound state,spatial density is given by W(x)W(x), where W(x) is the wavefunction, average momentum by -i d ln(W) /dx and average kinetic energy at x by -1/2m d/dx d/dx W / W.
Francesco R. Ruggeri
core   +1 more source

Resonant Tunneling in Laser‐Dressed Double‐Barrier Nanostructures: Role of Potential Geometry

Advanced Physics Research, EarlyView.
A schematic illustration of laser‐dressed double‐barrier nanostructures with rectangular, parabolic, and triangular potential profiles is presented. The intense laser field modifies the effective confinement potential, leading to a shift in resonance energies.
Recep Aydın, Mehmet Batı
wiley   +1 more source

Status of the Radial Schrodinger Equation

, 2010
6 ...
Khelashvili, Anzor A., Nadareishvili, Teimuraz P.   +1 more
openaire   +2 more sources