NDLI: The Klein–Gordon equation on <math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><msup><mrow><mi mathvariant="double-struck">Z<mrow><mn>2 and the quantum harmonic lattice

Please wait, while we are loading the content...

The Klein–Gordon equation on $Z2 and the quantum harmonic latticeContent Provider Scilit Author Borovyk, Vita Goldberg, Michael Copyright Year 2017 Description Journal: Journal de Mathématiques Pures Et Appliquées Related Links http://arxiv.org/pdf/1304.6353.pdf Ending Page 696 Page Count 30 Starting Page 667 ISSN 00217824 DOI 10.1016/j.matpur.2016.10.002 Journal Journal de Mathématiques Pures Et Appliquées Issue Number 6 Volume Number 107 Language English Publisher Elsevier BV Publisher Date 2017-06-01 Access Restriction Open Subject Keyword Journal: Journal de Mathématiques Pures Et Appliquées Condensed Matter Physics Content Type Text Resource Type Article Subject Applied Mathematics$(document).ready(function() {
if($("#modal_login").length && location.protocol == "http:" && location.pathname.indexOf("_document/")!=3){
window.location.replace("https://" + location.hostname + location.pathname + location.search);
}
});About Disclaimer Feedback Sponsor Contact Chat with UsAbout National Digital Library of India (NDLI) National Digital Library of India (NDLI) is a virtual repository of learning resources which is not just a repository with search/browse facilities but provides a host of services for the learner community. It is sponsored and mentored by Ministry of Education, Government of India, through its National Mission on Education through Information and Communication Technology (NMEICT). Filtered and federated searching is employed to facilitate focused searching so that learners can find the right resource with least effort and in minimum time. NDLI provides user group-specific services such as Examination Preparatory for School and College students and job aspirants. Services for Researchers and general learners are also provided. NDLI is designed to hold content of any language and provides interface support for 10 most widely used Indian languages. It is built to provide support for all academic levels including researchers and life-long learners, all disciplines, all popular forms of access devices and differently-abled learners. It is designed to enable people to learn and prepare from best practices from all over the world and to facilitate researchers to perform inter-linked exploration from multiple sources. It is developed, operated and maintained from Indian Institute of Technology Kharagpur. Learn more about this project from here . CloseDisclaimer NDLI is a conglomeration of freely available or institutionally contributed or donated or publisher managed contents. Almost all these contents are hosted and accessed from respective sources. The responsibility for authenticity, relevance, completeness, accuracy, reliability and suitability of these contents rests with the respective organization and NDLI has no responsibility or liability for these. Every effort is made to keep the NDLI portal up and running smoothly unless there are some unavoidable technical issues. Closevar feedtypes = {"overall":{"ui":"User Interface","ux":"User Friendliness","new":"Suggest a new Feature","other":"Other"},"account":{"login":"Log-In","regn":"Registration","recov":"Recovery","profile":"Profile Customize","other":"Other"},"se":{"search":"Search","br_subjectClass":"Browse by Subjects","br_educationalLevel":"Browse by Educational Levels","br_resourceType":"Browse by Resource Types","br_sourceOrganization":"Browse by Content Providers","content_avail":"Content Availability","content_quality":"Content Accessibility\/Quality","other":"Other"},"he":{"search":"Search","br_ddc":"Browse by Subjects","br_learningResourceType":"Browse by Resource Types","br_sourceOrganization":"Browse by Content Providers","br_educationalLevel":"Browse by Educational Levels","content_avail":"Content Availability","content_quality":"Content Accessibility\/Quality","other":"Other"},"re":{"search":"Search","br_asjc":"Browse by Subjects","br_sourceOrganization":"Browse by Content Providers","br_learningResourceType":"Browse by Resource Types","br_journal":"Browse by Journals","content_avail":"Content Availability","content_quality":"Content Accessibility\/Quality","other":"Other"},"cd":{"br_sourceOrganization":"Browse by Examinations","br_learningResourceType":"Browse by Resource Types","content_avail":"Content Availability","content_quality":"Content Accessibility\/Quality","other":"Other"},"ch":{"search":"Search","br_sourceOrganization":"Browse by Content Providers","br_learningResourceType":"Browse by Resource Types","content_avail":"Content Availability","content_quality":"Content Accessibility\/Quality","other":"Other"},"nw":{"br_sourceOrganization":"Browse by Content Providers","br_newspaper":"Browse by Newspapers","content_avail":"Content Availability","content_quality":"Content Accessibility\/Quality","other":"Other"},"pt":{"search":"Search","br_cpc":"Browse by CPC Classification","br_publisher_jurisdiction":"Browse by Jurisdictions","br_learningResourceType":"Browse by Resource Types","br_publisher_authority":"Browse by Issuing Authority","content_avail":"Content Availability","content_quality":"Content Accessibility\/Quality","other":"Other"},"lw":{"search":"Search","br_sourceOrganization":"Browse by Content Providers","br_learningResourceType":"Browse by Resource Types","br_legal_casetype":"Browse by Case Types","br_subject_lw":"Browse by Laws\/Acts","br_publisher_jurisdiction":"Browse by Jurisdictions","content_avail":"Content Availability","content_quality":"Content Accessibility\/Quality","other":"Other"},"service":{"club":"NDLI Club","idr_hosting":"IDR Hosting Service","dpc":"Digital Preservation Centre (DPC)","other":"Other"}};
$(document).ready(function() {
$("#feed_cat").on("change", function() {
$("#feed_subcat").html("");
$.each(window.feedtypes[$("#feed_cat").val()], function(val, disp) {
$("#feed_subcat").append("<option value=\"" + val + "\">" + disp + "</option>");
});
$("#feed_subcat").removeAttr("disabled");
$("#feed_subcat").selectpicker('refresh');

$("#fa-cat").removeClass("fa-bounce fa-circle-chevron-down");
$("#fa-cat").addClass("fa-circle-check");

$("#fa-subcat").addClass("fa-bounce fa-circle-chevron-down");
$("#fa-subcat").removeClass("fa-circle-check");
});
$("#feed_subcat").on("change", function() {
if ($("#feed_subcat").val().length) {
$("#fa-subcat").removeClass("fa-bounce fa-circle-chevron-down");
$("#fa-subcat").addClass("fa-circle-check");
} else {

}
});
});Feedback Select Category Overall User Account School Education Higher Education Research Career Development Cultural Archives Newspaper Archives Patents & Standards Judicial Resources Services Select Sub-Category Write your feedback here * Submit Close#modal_sponsor img {
height: 90px;
}Sponsor Ministry of Education, through its National Mission on Education through Information and Communication Technology (NMEICT), has sponsored and funded the National Digital Library of India (NDLI) project. CloseContact National Digital Library of India Central Library (ISO-9001:2015 Certified) Indian Institute of
Technology Kharagpur Kharagpur, West Bengal, India | PIN - 721302 See location in the Map 03222 282435 Mail: support@ndl.gov.in Sl. Authority Responsibilities Communication Details 1 Ministry of Education (GoI), Department of Higher Education Sanctioning Authority https://www.education.gov.in/ict-initiatives 2 Indian Institute of Technology Kharagpur Host Institute of the Project: The host institute of the project is responsible for
providing infrastructure support and hosting the project https://www.iitkgp.ac.in 3 National Digital Library of India Office, Indian Institute of Technology Kharagpur The administrative and infrastructural headquarters of the project Dr. B. Sutradhar bsutra@ndl.gov.in 4 Project PI / Joint PI Principal Investigator and Joint Principal Investigators of the project Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon 5 Website/Portal (Helpdesk) Queries regarding NDLI and its services support@ndl.gov.in 6 Contents and Copyright Issues Queries related to content curation and copyright issues content@ndl.gov.in 7 National Digital Library of India Club (NDLI Club) Queries related to NDLI Club formation, support, user awareness program, seminar/symposium,
collaboration, social media, promotion, and outreach clubsupport@ndl.gov.in 8 Digital Preservation Centre (DPC) Assistance with digitizing and archiving copyright-free printed books dpc@ndl.gov.in 9 IDR Setup or Support Queries related to establishment and support of Institutional Digital Repository (IDR) and
IDR workshops idr@ndl.gov.in Close.chat-container {
height: 450px;
overflow-y: scroll;
padding: 0px 5px;
}

.chat-chatbot .card-body,
.chat-human .card-body,
.chat-chatbot .card-header,
.chat-human .card-header {
padding: 5px 10px;
}

#jumping-dots-container {
width: -webkit-fill-available;
}

.jumping-dots span {
position: relative;
margin-left: auto;
margin-right: auto;
animation: jump 1s infinite;
display: inline-block;
background-color: #0D7751;
width: 12px;
height: 12px;
border-radius: 50%;
margin-right: 3px;
}

.jumping-dots .dot-1 {
animation-delay: 200ms;
}

.jumping-dots .dot-2 {
animation-delay: 400ms;
}

.jumping-dots .dot-3 {
animation-delay: 600ms;
}

@keyframes jump {
0% {
bottom: 0px;
}

20% {
bottom: 5px;
}

40% {
bottom: 0px;
}
}

.chat-container {
display: flex;
flex-direction: column;
gap: 10px;
padding: 20px;
/* max-width: 500px; /
}

/ Common chat bubble style /
.chat-bubble {
max-width: 70%;
padding: 12px 16px;
border-radius: 16px;
position: relative;
font-family: Arial, sans-serif;
font-size: 14px;
line-height: 1.4;
}

/ Left-aligned bubble /
.chat-bubble.left {
background-color: #f1f0f0;
color: #000;
align-self: flex-start;
border-bottom-left-radius: 0;
}

.chat-bubble.left::after {
content: "";
position: absolute;
left: -8px;
bottom: 0;
width: 0;
height: 0;
border: 10px solid transparent;
border-top-color: #f1f0f0;
border-bottom: 0;
border-right: 0;
margin-left: -1px;
margin-bottom: -10px;
}

/ Right-aligned bubble */
.chat-bubble.right {
background-color: #0084ff;
color: #fff;
align-self: flex-end;
border-bottom-right-radius: 0;
}

.chat-bubble.right::after {
content: "";
position: absolute;
right: -8px;
bottom: 0;
width: 0;
height: 0;
border: 10px solid transparent;
border-top-color: #0084ff;
border-bottom: 0;
border-left: 0;
margin-right: -1px;
margin-bottom: -10px;
}$(document).ready(function() {
$("#chat-text").on('keypress', function(event) {
if (event.key === 'Enter') {
event.preventDefault()
send_chat();
}
});
});

function send_chat() {
var query = $("#chat-text").val();
var obj = {
'query': query
};

if ($("#chat-text").val()) {
$("#chat-msgs").append('<div class="chat-bubble right">\
<p class="text-muted small mb-0"><i class="far fa-clock"></i> ' + new Date().toLocaleTimeString() + '</p>\
<p>' + query + '</p>\
</div>\
');
}
$("#chat-msgs").append('<div class="float-start" id="jumping-dots-container">\
<i class="fa-solid fa-robot text-success"></i> <small class="text-muted">Chatbot is processing your request...</small>\
<div class="jumping-dots">\
<span class="dot-1"></span>\
<span class="dot-2"></span>\
<span class="dot-3"></span>\
</div>\
</div>');
$("#chat-msgs").scrollTop($("#chat-msgs").height()).animate("fast");
$("#chat-text").val("");

$.ajax({
url: "/ajax/chatbot.php",
method: "POST",
timeout: 0,
contentType: "application/json",
data: JSON.stringify(obj),
success: function(response, textStatus, jQxhr) {
$("#chat-msgs").append('<div class="chat-bubble left">\
<p class="text-muted small mb-0"><i class="far fa-clock"></i> ' + new Date().toLocaleTimeString() + '</p>\
' + response.reply + '\
</p>\
</div>');
},
error: function(jqXhr, textStatus, errorThrown) {
$("#modal_server_error").modal("show");
console.log(errorThrown);
},
complete: function(jqXHR, textStatus) {
startTypeSetting("result");
$("#jumping-dots-container").remove();
}
});
}I will try my best to help you... Send Close#table-cite {
th {
width: 100px;
}

td {
padding: 6px;
}

textarea {
height: 100px;
font-size: small;
padding: 0px;
}
}Cite this Content Loading... Close$("#modal_cite").on("show.bs.modal", function(event) {
if (!$("#table-cite th").length) {
$.post("/ajax/get-citation.php", {}, function(jsonObj) {
$("#table-cite").html("");
$.each(jsonObj.formats, function(type, value) {
// <br/><button class="btn btn-sm btn-secondary"><i class="fa-solid fa-paste"></i> Copy</button>
$("#table-cite").append('<tr class="border-bottom"><th>' + type + '</th><td>' + value + '</td></tr>');
});
$("#table-cite").append('<tr><th>BibTex</th><td><textarea class="form-control" readonly>' + jsonObj.bib + '</textarea></td></tr>');
}, "json").fail(function() {
//alert("Error: Please try again later... Server is not ready");
});
}
});$