On the application of the Rayleigh-Ritz method to a projected Hamiltonian

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteur principal:	Fernández, Francisco M.
Format:	Preprint
Publié:	2024
Sujets:	Quantum Physics
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

Rayleigh-Ritz Variational Method in The Complex Plane
par: AlMasri, M. W.
Publié: (2026)

On the Raleigh-Ritz variational method. Non-orthogonal basis set
par: Fernández, Francisco M.
Publié: (2024)

Rigorous test of the Raleigh-Ritz method for Mexican hat type potentials
par: Zarate, A. M. Rodriguez, et autres
Publié: (2025)

Comment on: "On the characteristic polynomial of an effective Hamiltonian"
par: Fernández, Francisco M.
Publié: (2022)

On a class of non-Hermitian Hamiltonians with tridiagonal matrix representation
par: Fernández, Francisco M.
Publié: (2021)

Algebraic analysis of non-Hermitian quadratic Hamiltonians
par: Fernández, Francisco M.
Publié: (2022)

An analysis of the Rayleigh-Ritz and refined Rayleigh-Ritz methods for regular nonlinear eigenvalue problems
par: Jia, Zhongxiao, et autres
Publié: (2022)

The Hellmann-Feynman theorem and the spectrum of some Hamiltonian operators
par: Amore, Paolo, et autres
Publié: (2024)

Filtered Rayleigh-Ritz is all you need
par: Abbott, Ryan, et autres
Publié: (2025)

Almost optimal measurement scheduling of molecular Hamiltonian via finite projective plane
par: Inoue, Wataru, et autres
Publié: (2023)

Open loop linear control of quadratic Hamiltonians with applications
par: Johnsson, Mattias T., et autres
Publié: (2023)

Reply to "Comment on `Generalized James' effective Hamiltonian method'"
par: Shao, Wenjun, et autres
Publié: (2023)

Unveiling the BEC-droplet transition with Rayleigh superradiant scattering
par: Parit, Mithilesh K., et autres
Publié: (2025)

Abstract ladder operators for non self-adjoint Hamiltonians, with applications
par: Bagarello, Fabio
Publié: (2024)

Optimal quantum circuit cuts with application to clustered Hamiltonian simulation
par: Harrow, Aram W., et autres
Publié: (2024)

Spectrum measurement of quantum channels and application to Hamiltonian parameter estimation
par: Jin, Yuan-De, et autres
Publié: (2025)

Gradient projection method for constrained quantum control
par: Morzhin, Oleg, et autres
Publié: (2024)

Quasiparticle projection method for dynamically unstable Bose-Einstein condensates
par: Izquierdo, Asier, et autres
Publié: (2025)

Quantum adiabatic theorem for unbounded Hamiltonians with a cutoff and its application to superconducting circuits
par: Mozgunov, Evgeny, et autres
Publié: (2020)

Boosting projective methods for quantum process and detector tomography
par: Barberà-Rodríguez, Júlia, et autres
Publié: (2024)

Reconstruction of full-space quantum Hamiltonian from its effective, energy-dependent model-space projection
par: Znojil, Miloslav
Publié: (2025)

Local Hamiltonian dynamics from non-local action principles and applications to binary systems in general relativity
par: Blanco, Francisco M.
Publié: (2024)

General method for obtaining the energy minimum of spin Hamiltonians for separable states
par: Tóth, Géza, et autres
Publié: (2026)

Non-Hermitian Generalization of Rayleigh-Schrödinger Perturbation Theory
par: Chen, Wei-Ming, et autres
Publié: (2024)

Experimental Evidence-Based Sub-Rayleigh Source Discrimination
par: Shringarpure, Saurabh U., et autres
Publié: (2026)

A diagrammatic method to compute the effective Hamiltonian of driven nonlinear oscillators
par: Xiao, Xu, et autres
Publié: (2023)

On the exact solutions of a one-dimensional Schrödinger equation with a rational potential
par: Fernández, Francisco M.
Publié: (2024)

On the exact solutions of a two-dimensional hydrogen atom in a constant magnetic field
par: Fernández, Francisco M.
Publié: (2025)

A fixed-point algorithm for matrix projections with applications in quantum information
par: Brahmachari, Shrigyan, et autres
Publié: (2023)

Two simple models derived from a quantum-mechanical particle on an elliptical path
par: Fernández, Francisco M.
Publié: (2025)

Exact solutions, critical parameters and accidental degeneracy for the hydrogen atom in a spherical box
par: Fernández, Francisco M.
Publié: (2025)

Practical tests for sub-Rayleigh source discriminations with imperfect demultiplexers
par: Schlichtholz, Konrad, et autres
Publié: (2023)

The Rayleigh-Taylor instability in a binary quantum fluid
par: Geng, Yanda, et autres
Publié: (2024)

Stabilizing the Rayleigh--Ritz procedure by randomization
par: Shao, Nian
Publié: (2026)

Quantum simulation for time-dependent Hamiltonians -- with applications to non-autonomous ordinary and partial differential equations
par: Cao, Yu, et autres
Publié: (2023)

Multiple photon Hamiltonian in linear quantum optical networks
par: Garcia-Escartin, Juan Carlos, et autres
Publié: (2016)

Rotational magic conditions for ultracold molecules in the presence of Raman and Rayleigh scattering
par: Kotochigova, Svetlana, et autres
Publié: (2023)

Inverse designed Hamiltonians for perfect state transfer and remote entanglement generation, and applications in superconducting qubits
par: Wang, Tian-Le, et autres
Publié: (2025)

The Free Energy Barrier: An Eyring-Polanyi bound for stabilizer Hamiltonians, with applications to quantum error correction
par: Baspin, Nouédyn
Publié: (2025)

Driven generalized quantum Rayleigh-van der Pol oscillators: Phase localization and spectral response
par: Sudler, A. J., et autres
Publié: (2024)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"3363794b63ddc441d110a7d5adf9e2e1"
language	"fr"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790867962.3541 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "3363794b63ddc441d110a7d5adf9e2e1" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"VUFIND_SESSION=3363794b63ddc441d110a7d5adf9e2e1; language=fr; ui=standard"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.216.147"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"52218"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2411_14490/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2411_14490/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790867962.348
REQUEST_TIME	1790867962

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler