Bound State Internal Interactions as a Mechanism for Exponential Decay

We hypothesize that the uncontrolled interactions among the various components of quantum mechanical bound states and the background fields, sometimes known as virtual particle exchange, affect the state of the quantum system as do typical scattering interactions. Then with the assumption that the i...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2022-06
Main Author: Bryant, Peter W
Format: Article
Language:English
Subjects:
Decay rate
Energy spectra
Hilbert space
Indoor environments
Mathematical analysis
Quantum mechanics
Quantum theory
Vectors (mathematics)
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator Bryant, Peter W
description We hypothesize that the uncontrolled interactions among the various components of quantum mechanical bound states and the background fields, sometimes known as virtual particle exchange, affect the state of the quantum system as do typical scattering interactions. Then with the assumption that the interior environment of unstable particles is disordered, we derive in the limit of continuous internal interactions an exactly exponential decay probability at all times and Fermi's Golden Rule for the decay rates. Our result offers a resolution to the long-standing problems with the standard theoretical treatments, such as the lack of exponential time evolution for Hilbert Space vectors and energy spectra unbounded from below.
format article
fullrecord <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2682964425</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2682964425</sourcerecordid><originalsourceid>FETCH-proquest_journals_26829644253</originalsourceid><addsrcrecordid>eNqNjMEKglAQRR9BkJT_8KC1YPPUbFsptWhVexlsJMXmmfOE-vuM-oDgwjmLw50oD4xZBWkEMFO-SBOGISRriGPjqXxrB77qs0NH-siOesb2K1i62rJoHKdPVN6Qa7nryvY6e3aWiV09tnsq8bVQ0wpbIf_HuVrm2WV3CLrePgYSVzR2-FxLAUkKmySKIDb_VW-M7zry</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2682964425</pqid></control><display><type>article</type><title>Bound State Internal Interactions as a Mechanism for Exponential Decay</title><source>Publicly Available Content Database</source><creator>Bryant, Peter W</creator><creatorcontrib>Bryant, Peter W</creatorcontrib><description>We hypothesize that the uncontrolled interactions among the various components of quantum mechanical bound states and the background fields, sometimes known as virtual particle exchange, affect the state of the quantum system as do typical scattering interactions. Then with the assumption that the interior environment of unstable particles is disordered, we derive in the limit of continuous internal interactions an exactly exponential decay probability at all times and Fermi's Golden Rule for the decay rates. Our result offers a resolution to the long-standing problems with the standard theoretical treatments, such as the lack of exponential time evolution for Hilbert Space vectors and energy spectra unbounded from below.</description><identifier>EISSN: 2331-8422</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Decay rate ; Energy spectra ; Hilbert space ; Indoor environments ; Mathematical analysis ; Quantum mechanics ; Quantum theory ; Vectors (mathematics)</subject><ispartof>arXiv.org, 2022-06</ispartof><rights>2022. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.proquest.com/docview/2682964425?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>776,780,25732,36991,44569</link.rule.ids></links><search><creatorcontrib>Bryant, Peter W</creatorcontrib><title>Bound State Internal Interactions as a Mechanism for Exponential Decay</title><title>arXiv.org</title><description>We hypothesize that the uncontrolled interactions among the various components of quantum mechanical bound states and the background fields, sometimes known as virtual particle exchange, affect the state of the quantum system as do typical scattering interactions. Then with the assumption that the interior environment of unstable particles is disordered, we derive in the limit of continuous internal interactions an exactly exponential decay probability at all times and Fermi's Golden Rule for the decay rates. Our result offers a resolution to the long-standing problems with the standard theoretical treatments, such as the lack of exponential time evolution for Hilbert Space vectors and energy spectra unbounded from below.</description><subject>Decay rate</subject><subject>Energy spectra</subject><subject>Hilbert space</subject><subject>Indoor environments</subject><subject>Mathematical analysis</subject><subject>Quantum mechanics</subject><subject>Quantum theory</subject><subject>Vectors (mathematics)</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><recordid>eNqNjMEKglAQRR9BkJT_8KC1YPPUbFsptWhVexlsJMXmmfOE-vuM-oDgwjmLw50oD4xZBWkEMFO-SBOGISRriGPjqXxrB77qs0NH-siOesb2K1i62rJoHKdPVN6Qa7nryvY6e3aWiV09tnsq8bVQ0wpbIf_HuVrm2WV3CLrePgYSVzR2-FxLAUkKmySKIDb_VW-M7zry</recordid><startdate>20220629</startdate><enddate>20220629</enddate><creator>Bryant, Peter W</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20220629</creationdate><title>Bound State Internal Interactions as a Mechanism for Exponential Decay</title><author>Bryant, Peter W</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_26829644253</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Decay rate</topic><topic>Energy spectra</topic><topic>Hilbert space</topic><topic>Indoor environments</topic><topic>Mathematical analysis</topic><topic>Quantum mechanics</topic><topic>Quantum theory</topic><topic>Vectors (mathematics)</topic><toplevel>online_resources</toplevel><creatorcontrib>Bryant, Peter W</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>AUTh Library subscriptions: ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bryant, Peter W</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>Bound State Internal Interactions as a Mechanism for Exponential Decay</atitle><jtitle>arXiv.org</jtitle><date>2022-06-29</date><risdate>2022</risdate><eissn>2331-8422</eissn><abstract>We hypothesize that the uncontrolled interactions among the various components of quantum mechanical bound states and the background fields, sometimes known as virtual particle exchange, affect the state of the quantum system as do typical scattering interactions. Then with the assumption that the interior environment of unstable particles is disordered, we derive in the limit of continuous internal interactions an exactly exponential decay probability at all times and Fermi's Golden Rule for the decay rates. Our result offers a resolution to the long-standing problems with the standard theoretical treatments, such as the lack of exponential time evolution for Hilbert Space vectors and energy spectra unbounded from below.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2022-06
issn 2331-8422
language eng
recordid cdi_proquest_journals_2682964425
source Publicly Available Content Database
subjects Decay rate
Energy spectra
Hilbert space
Indoor environments
Mathematical analysis
Quantum mechanics
Quantum theory
Vectors (mathematics)
title Bound State Internal Interactions as a Mechanism for Exponential Decay
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-24T06%3A45%3A56IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=document&rft.atitle=Bound%20State%20Internal%20Interactions%20as%20a%20Mechanism%20for%20Exponential%20Decay&rft.jtitle=arXiv.org&rft.au=Bryant,%20Peter%20W&rft.date=2022-06-29&rft.eissn=2331-8422&rft_id=info:doi/&rft_dat=%3Cproquest%3E2682964425%3C/proquest%3E%3Cgrp_id%3Ecdi_FETCH-proquest_journals_26829644253%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2682964425&rft_id=info:pmid/&rfr_iscdi=true