Results 41 to 50 of about 77,468 (213)

Exact quantization and analytic continuation

Journal of High Energy Physics, 2023
In this paper we give a streamlined derivation of the exact quantization condition (EQC) on the quantum periods of the Schrödinger problem in one dimension with a general polynomial potential, based on Wronskian relations.
Barak Gabai, Xi Yin
doaj   +1 more source

The Liouville-type theorem for integrable Hamiltonian systems with incomplete flows

, 2012
For integrable Hamiltonian systems with two degrees of freedom whose Hamiltonian vector fields have incomplete flows, an analogue of the Liouville theorem is established.
A. G. Khovanskii, A. I. Bufetov, A. V. Bolsinov, E. A. Kudryavtseva, E. A. Kudryavtseva, E. A. Kudryavtseva, E. A. Kudryavtseva, H. Flaschka, L. Bates, M. L. Kontsevich, S. P. Novikov, T. A. Lepskii   +11 more
core   +1 more source

Euler Polynomials and Identities for Non-Commutative Operators [PDF]

, 2015
Three kinds of identities involving non-commutating operators and Euler and Bernoulli polynomials are studied. The first identity, as given by Bender and Bettencourt, expresses the nested commutator of the Hamiltonian and momentum operators as the ...
Abramowitz M., Blasiak P., Christophe Vignat, Elizalde E., Olver F. W., Roman S., Valerio De Angelis   +6 more
core   +2 more sources

Efficient Quantum Cooling Algorithm for Fermionic Systems [PDF]

Quantum
We present a cooling algorithm for ground state preparation of fermionic Hamiltonians. Our algorithm makes use of the Hamiltonian simulation of the considered system coupled to an ancillary fridge, which is regularly reset to its known ground state.
Lucas Marti, Refik Mansuroglu, Michael J. Hartmann   +2 more
doaj   +1 more source

POLYNOMIAL HAMILTONIAN STRUCTURE FOR THE A4-SYSTEM

Kyushu Journal of Mathematics, 1998
Let \(n\) be a positive integer. A linear differential equation of the form \[ {d^2y\over dx^2}+ p_1(x, t){dy\over dx}+ p_2(x,t) y=0 \] with \[ p_1(x, t)= -A_n(x, t)- \sum^n_{k= 1}{1\over x-\lambda_k}, \] \[ p_2(x,t)=- (2\alpha+ 1)x^n- 2 \sum^n_{j=1} H_j x^{n-j}+ \sum^n_{k= 1}{\mu_k\over x-\lambda_k} \] and \[ A_n(x,t)= 2x^{n+ 1}+ \sum^n_{j=1} jt_j x ...
openaire   +3 more sources

Artificial Intelligence‐Assisted Workflow for Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling

Advanced Materials, EarlyView.
AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll, Ivan Pinto‐Huguet, Enzo Rotunno, Thomas Galvani, Catalina Coll, Payam Habibzadeh Kavkani, Maria Chiara Spadaro, Yann‐Michel Niquet, Martin Børstad Eriksen, Sara Martí‐Sánchez, Georgios Katsaros, Giordano Scappucci, Peter Krogstrup, Giovanni Isella, Andreu Cabot, Gonzalo Merino, Pablo Ordejón, Stephan Roche, Vincenzo Grillo, Jordi Arbiol   +19 more
wiley   +1 more source

Limit Cycle Bifurcations by Perturbing a Compound Loop with a Cusp and a Nilpotent Saddle

Abstract and Applied Analysis, 2014
We study the expansions of the first order Melnikov functions for general near-Hamiltonian systems near a compound loop with a cusp and a nilpotent saddle.
Huanhuan Tian, Maoan Han
doaj   +1 more source

Microscopic Insights into Magnetic Warping and Time‐Reversal Symmetry Breaking in Topological Surface States of Rare‐Earth‐Doped Bi2Te3

Advanced Materials, EarlyView.
Magnetic doping of the topological insulator Bi2Te3 with erbium adatoms induces out‐of‐plane magnetism and breaks time‐reversal symmetry, opening a Dirac gap and driving a Fermi surface transition from hexagonal to star‐of‐David geometry. Microscopy, spectroscopy, and magnetic dichroism reveal atomically controlled magnetic interactions that tailor the
Beatriz Muñiz Cano, Fabián Calleja, Ji Dai, Massimo Tallarida, Vera Marinova, Alessandro Barla, Marc G. Cuxart, Pierluigi Gargiani, Gonzalo N. Molina, José Angel Silva‐Guillén, Adriana I. Figueroa, Kevin García‐Díez, Sergio O. Valenzuela, Aitor Mugarza, Amadeo L. Vázquez de Parga, Rodolfo Miranda, Francisco Guinea, Manuela Garnica, Miguel A. Valbuena   +18 more
wiley   +1 more source

Grand Unification of Quantum Algorithms

PRX Quantum, 2021
Quantum algorithms offer significant speed-ups over their classical counterparts for a variety of problems. The strongest arguments for this advantage are borne by algorithms for quantum search, quantum phase estimation, and Hamiltonian simulation, which
John M. Martyn, Zane M. Rossi, Andrew K. Tan, Isaac L. Chuang   +3 more
doaj   +1 more source

Polynomial-Time Simulation of Pairing Models on a Quantum Computer

, 2002
We propose a polynomial-time algorithm for simulation of the class of pairing Hamiltonians, e.g., the BCS Hamiltonian, on an NMR quantum computer. The algorithm adiabatically finds the low-lying spectrum in the vicinity of the gap between ground and ...
C. Zalka, D. A. Lidar, D. A. Meyer, G. Burkard, G. D. Mahan, L.-A. Wu, M. S. Byrd, P. Ring, P. A. Braun, R. P. Feynman, S. Lloyd   +10 more
core   +1 more source