{"id":{"repo_id":"greece","oai_identifier":"oai:10442/0006"},"canonical_url":"https://search.dev.ndltd.org/etd/greece/oai:10442/0006","repository":{"repo_id":"greece","name":"Greek National Archive of PhD Theses","base_url":"https://phdtheses.ekt.gr/eadd_oai/request"},"display":{"title":"ΘΕΩΡΙΑ ΤΟΥ ΦΑΣΙΚΟΥ ΧΩΡΟΥ ΤΗΣ ΜΗ-ΑΡΝΗΤΙΚΗΣ ΣΥΝΑΡΤΗΣΗΣ ΚΑΤΑΝΟΜΗΣ ΤΥΠΟΥ WIGNER","abstract":"THE PROBLEM OF THE NON-NEGATIVE WIGNER DISTRIBUTION FUNCTION IS STUDIED. IT HASBEEN RECOGNIZED THAT THE PROBLEM IS RELATED TO SOME RECOGNIZED CORRESPODENSE RULE. THE NEW WIGNER DISTRIBUTION FUNCTION IS CONNECTED TO THE HUSIMI TRANSFORMATION AND AS IT IS PROVED TAKES CLOSED FORM, WHILE AT THE SAME TIME WE DEFINE THE WIGNER OPERATORS. WE RECOGNIZE THE PARTICULAR ROLE OF THE PARAMATER A IN SEVERAL APPLICATIONS. FINALLY THE MEAN VALUE OF AN OPERATOR IS DEFINED IN STATISTICAL MECHANICS ACCORDING TO THE NEW FUNCTIONS W. WE PRESENT THE BLOCH-WIGNER EQUATION ACCORDING TO THE MORE GENERAL OPERATORS OF WIGNER'S. THE NEW BLOCH DENSITYMATRIX IS ESTIMATED AND CALCULATED IN SEVERAL APPLICATIONS.","abstract_html":"THE PROBLEM OF THE NON-NEGATIVE WIGNER DISTRIBUTION FUNCTION IS STUDIED. IT HASBEEN RECOGNIZED THAT THE PROBLEM IS RELATED TO SOME RECOGNIZED CORRESPODENSE RULE. THE NEW WIGNER DISTRIBUTION FUNCTION IS CONNECTED TO THE HUSIMI TRANSFORMATION AND AS IT IS PROVED TAKES CLOSED FORM, WHILE AT THE SAME TIME WE DEFINE THE WIGNER OPERATORS. WE RECOGNIZE THE PARTICULAR ROLE OF THE PARAMATER A IN SEVERAL APPLICATIONS. FINALLY THE MEAN VALUE OF AN OPERATOR IS DEFINED IN STATISTICAL MECHANICS ACCORDING TO THE NEW FUNCTIONS W. WE PRESENT THE BLOCH-WIGNER EQUATION ACCORDING TO THE MORE GENERAL OPERATORS OF WIGNER'S. THE NEW BLOCH DENSITYMATRIX IS ESTIMATED AND CALCULATED IN SEVERAL APPLICATIONS.","abstract_has_math":false,"creators":["Filippakis, Theodoros","Φιλιππάκης, Θεόδωρος"],"institution":"University of Patras","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1986,"date_issued":"1986","date_published":"1986","updated_at":"2026-07-24T02:25:21Z","subjects":["ΕΞΙΣΩΣΗ BLOCH-WIGNER","ΕΞΙΣΩΣΗ WIGNER","ΘΕΩΡΗΜΑ WIGNER","ΚΑΝΟΝΕΣ ΑΝΤΙΣΤΟΙΧΙΑΣ","ΛΙΑ ΣΥΝΑΡΤΗΣΗ WIGNER","ΜΕΤΑΣΧΗΜΑΤΙΣΜΟΣ HUSIMI","ΝΕΟΙ ΤΕΛΕΣΤΕΣ WIGNER","BLOCH-WIGNER EQUATION","CORRESPONDENSES RULE","HUSIMI TRANSFORMATION","SMOOTHED WIGNER FUNCTION","WIGNER EQUATION","WIGNER OPERATORS","WIGNER'S THEOREME","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"],"languages":["gre"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/0006"],"render_values":[{"text":"10.12681/eadd/0006","href":"https://doi.org/10.12681/eadd/0006","code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10442/hedi/0006","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Filippakis, Theodoros","Φιλιππάκης, Θεόδωρος"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["1986"]},{"key":"dc:publisher","label":"Institution","values":["University of Patras","Πανεπιστήμιο Πατρών"]},{"key":"dc:type","label":"Dc Type","values":["PhD Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["ΕΞΙΣΩΣΗ BLOCH-WIGNER","ΕΞΙΣΩΣΗ WIGNER","ΘΕΩΡΗΜΑ WIGNER","ΚΑΝΟΝΕΣ ΑΝΤΙΣΤΟΙΧΙΑΣ","ΛΙΑ ΣΥΝΑΡΤΗΣΗ WIGNER","ΜΕΤΑΣΧΗΜΑΤΙΣΜΟΣ HUSIMI","ΝΕΟΙ ΤΕΛΕΣΤΕΣ WIGNER","BLOCH-WIGNER EQUATION","CORRESPONDENSES RULE","HUSIMI TRANSFORMATION","SMOOTHED WIGNER FUNCTION","WIGNER EQUATION","WIGNER OPERATORS","WIGNER'S THEOREME","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["gre"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/0006","http://hdl.handle.net/10442/hedi/0006"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["THE PROBLEM OF THE NON-NEGATIVE WIGNER DISTRIBUTION FUNCTION IS STUDIED. IT HASBEEN RECOGNIZED THAT THE PROBLEM IS RELATED TO SOME RECOGNIZED CORRESPODENSE RULE. THE NEW WIGNER DISTRIBUTION FUNCTION IS CONNECTED TO THE HUSIMI TRANSFORMATION AND AS IT IS PROVED TAKES CLOSED FORM, WHILE AT THE SAME TIME WE DEFINE THE WIGNER OPERATORS. WE RECOGNIZE THE PARTICULAR ROLE OF THE PARAMATER A IN SEVERAL APPLICATIONS. FINALLY THE MEAN VALUE OF AN OPERATOR IS DEFINED IN STATISTICAL MECHANICS ACCORDING TO THE NEW FUNCTIONS W. WE PRESENT THE BLOCH-WIGNER EQUATION ACCORDING TO THE MORE GENERAL OPERATORS OF WIGNER'S. THE NEW BLOCH DENSITYMATRIX IS ESTIMATED AND CALCULATED IN SEVERAL APPLICATIONS.","ΜΕΛΕΤΑΤΑΙ ΤΟ ΠΡΟΒΛΗΜΑ ΤΗΣ ΜΗ-ΑΡΝΗΤΙΚΗΣ ΣΥΝΑΡΤΗΣΗΣ ΚΑΤΑΝΟΜΗΣ ΤΟΥ WIGNER. ΑΝΑΓΝΩΡΙΖΕΤΑΙ ΟΤΙ ΤΟ ΠΡΟΒΛΗΜΑ ΣΧΕΤΙΖΕΤΑΙ ΜΕ ΚΑΠΟΙΟ ΚΑΝΟΝΑ ΑΝΤΙΣΤΟΙΧΙΑΣ. Η ΝΕΑ ΣΥΝΑΡΤΗΣΗ ΚΑΤΑΝΟΜΗΣ ΤΟΥ WIGNER ΣΥΝΔΕΕΤΑΙ ΜΕ ΤΟ ΜΕΤΑΣΧΗΜΑΤΙΣΜΟ HUSIMI ΚΑΙ ΟΠΩΣ ΑΠΟΔΕΙΚΝΥΕΤΑΙ ΠΑΙΡΝΕΙ ΚΛΕΙΣΤΗ ΜΟΡΦΗ, ΕΝΩ ΤΑΥΤΟΧΡΟΝΑ ΟΡΙΖΟΥΜΕ ΤΟΥΣ ΝΕΟΥΣ ΤΕΛΕΣΤΕΣ WIGNER.ΑΝΑΓΝΩΡΙΖΟΥΜΕ ΤΟ ΙΔΙΑΙΤΕΡΟ ΡΟΛΟ ΤΗΣ ΠΑΡΑΜΕΤΡΟΥ Α ΣΕ ΔΙΑΦΟΡΕΣ ΕΦΑΡΜΟΓΕΣ. ΣΤΗ ΣΤΑΤΙΣΤΙΚΗ ΜΗΧΑΝΙΚΗ ΟΡΙΖΕΤΑΙ Η ΜΕΣΗ ΤΙΜΗ ΕΝΟΣ ΤΕΛΕΣΤΗ ΣΥΜΦΩΝΑ ΜΕ ΤΙΣ ΝΕΕΣ ΣΥΝΑΡΤΗΣΕΙΣ. ΑΝΑΦΕΡΟΥΜΕ ΤΗΝ ΕΞΙΣΩΣΗ BLOCH-WIGNER ΣΥΜΦΩΝΑ ΜΕ ΤΟΥΣ ΓΕΝΙΚΟΤΕΡΟΥΣ ΤΕΛΕΣΤΕΣΤΟΥ WIGNER."]},{"key":"dc:title","label":"Title","values":["ΘΕΩΡΙΑ ΤΟΥ ΦΑΣΙΚΟΥ ΧΩΡΟΥ ΤΗΣ ΜΗ-ΑΡΝΗΤΙΚΗΣ ΣΥΝΑΡΤΗΣΗΣ ΚΑΤΑΝΟΜΗΣ ΤΥΠΟΥ WIGNER","THE THEORY OF THE NON-NEGATIVE FORM OF WIGNER'S DISTRIBUTION FUNCTION IN THE PHASE-SPACE"]}]}],"canonical_facts":{"dc:creator":["Filippakis, Theodoros","Φιλιππάκης, Θεόδωρος"],"dc:date":["1986"],"dc:description":["THE PROBLEM OF THE NON-NEGATIVE WIGNER DISTRIBUTION FUNCTION IS STUDIED. IT HASBEEN RECOGNIZED THAT THE PROBLEM IS RELATED TO SOME RECOGNIZED CORRESPODENSE RULE. THE NEW WIGNER DISTRIBUTION FUNCTION IS CONNECTED TO THE HUSIMI TRANSFORMATION AND AS IT IS PROVED TAKES CLOSED FORM, WHILE AT THE SAME TIME WE DEFINE THE WIGNER OPERATORS. WE RECOGNIZE THE PARTICULAR ROLE OF THE PARAMATER A IN SEVERAL APPLICATIONS. FINALLY THE MEAN VALUE OF AN OPERATOR IS DEFINED IN STATISTICAL MECHANICS ACCORDING TO THE NEW FUNCTIONS W. WE PRESENT THE BLOCH-WIGNER EQUATION ACCORDING TO THE MORE GENERAL OPERATORS OF WIGNER'S. THE NEW BLOCH DENSITYMATRIX IS ESTIMATED AND CALCULATED IN SEVERAL APPLICATIONS.","ΜΕΛΕΤΑΤΑΙ ΤΟ ΠΡΟΒΛΗΜΑ ΤΗΣ ΜΗ-ΑΡΝΗΤΙΚΗΣ ΣΥΝΑΡΤΗΣΗΣ ΚΑΤΑΝΟΜΗΣ ΤΟΥ WIGNER. ΑΝΑΓΝΩΡΙΖΕΤΑΙ ΟΤΙ ΤΟ ΠΡΟΒΛΗΜΑ ΣΧΕΤΙΖΕΤΑΙ ΜΕ ΚΑΠΟΙΟ ΚΑΝΟΝΑ ΑΝΤΙΣΤΟΙΧΙΑΣ. Η ΝΕΑ ΣΥΝΑΡΤΗΣΗ ΚΑΤΑΝΟΜΗΣ ΤΟΥ WIGNER ΣΥΝΔΕΕΤΑΙ ΜΕ ΤΟ ΜΕΤΑΣΧΗΜΑΤΙΣΜΟ HUSIMI ΚΑΙ ΟΠΩΣ ΑΠΟΔΕΙΚΝΥΕΤΑΙ ΠΑΙΡΝΕΙ ΚΛΕΙΣΤΗ ΜΟΡΦΗ, ΕΝΩ ΤΑΥΤΟΧΡΟΝΑ ΟΡΙΖΟΥΜΕ ΤΟΥΣ ΝΕΟΥΣ ΤΕΛΕΣΤΕΣ WIGNER.ΑΝΑΓΝΩΡΙΖΟΥΜΕ ΤΟ ΙΔΙΑΙΤΕΡΟ ΡΟΛΟ ΤΗΣ ΠΑΡΑΜΕΤΡΟΥ Α ΣΕ ΔΙΑΦΟΡΕΣ ΕΦΑΡΜΟΓΕΣ. ΣΤΗ ΣΤΑΤΙΣΤΙΚΗ ΜΗΧΑΝΙΚΗ ΟΡΙΖΕΤΑΙ Η ΜΕΣΗ ΤΙΜΗ ΕΝΟΣ ΤΕΛΕΣΤΗ ΣΥΜΦΩΝΑ ΜΕ ΤΙΣ ΝΕΕΣ ΣΥΝΑΡΤΗΣΕΙΣ. ΑΝΑΦΕΡΟΥΜΕ ΤΗΝ ΕΞΙΣΩΣΗ BLOCH-WIGNER ΣΥΜΦΩΝΑ ΜΕ ΤΟΥΣ ΓΕΝΙΚΟΤΕΡΟΥΣ ΤΕΛΕΣΤΕΣΤΟΥ WIGNER."],"dc:identifier":["10.12681/eadd/0006","http://hdl.handle.net/10442/hedi/0006"],"dc:language":["gre"],"dc:publisher":["University of Patras","Πανεπιστήμιο Πατρών"],"dc:subject":["ΕΞΙΣΩΣΗ BLOCH-WIGNER","ΕΞΙΣΩΣΗ WIGNER","ΘΕΩΡΗΜΑ WIGNER","ΚΑΝΟΝΕΣ ΑΝΤΙΣΤΟΙΧΙΑΣ","ΛΙΑ ΣΥΝΑΡΤΗΣΗ WIGNER","ΜΕΤΑΣΧΗΜΑΤΙΣΜΟΣ HUSIMI","ΝΕΟΙ ΤΕΛΕΣΤΕΣ WIGNER","BLOCH-WIGNER EQUATION","CORRESPONDENSES RULE","HUSIMI TRANSFORMATION","SMOOTHED WIGNER FUNCTION","WIGNER EQUATION","WIGNER OPERATORS","WIGNER'S THEOREME","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"],"dc:title":["ΘΕΩΡΙΑ ΤΟΥ ΦΑΣΙΚΟΥ ΧΩΡΟΥ ΤΗΣ ΜΗ-ΑΡΝΗΤΙΚΗΣ ΣΥΝΑΡΤΗΣΗΣ ΚΑΤΑΝΟΜΗΣ ΤΥΠΟΥ WIGNER","THE THEORY OF THE NON-NEGATIVE FORM OF WIGNER'S DISTRIBUTION FUNCTION IN THE PHASE-SPACE"],"dc:type":["PhD Thesis"]},"updated_at":"2026-07-24T02:25:21Z"}