When Are Two Wave Functions Distinguishable: A New Answer to Pauli’s Question, with Potential Application to Quantum Cosmology
Traditional quantum mechanics (QM) predicts probabilities of different events. If we describe an elementary particle, then, experimentally, these probabilities mean that if we repeat the same measurement procedure with multiple particles in the same state, the resulting sequence of measurement resul...
Saved in:
| Published in: | International journal of theoretical physics Vol. 47; no. 3; pp. 814 - 831 |
|---|---|
| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Boston
Springer US
01-03-2008
|
| Subjects: | |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | Traditional quantum mechanics (QM) predicts probabilities of different events. If we describe an elementary particle, then, experimentally, these probabilities mean that if we repeat the same measurement procedure with multiple particles in the same state, the resulting sequence of measurement results will be random w.r.t. the corresponding probability measure. In quantum cosmology, QM is used to describe the world as a whole; we have only one copy of the world, so multiple measurements are impossible. How to interpret these probabilities?
In this paper, we use the approach of the algorithmic information theory to come up with a reasonable interpretation. This interpretation is in good accordance with the arguments presented by several physicists (such as D. Finkelstein) that a wave function is not always a physically reasonable description of a quantum state. |
|---|---|
| AbstractList | Traditional quantum mechanics (QM) predicts probabilities of different events. If we describe an elementary particle, then, experimentally, these probabilities mean that if we repeat the same measurement procedure with multiple particles in the same state, the resulting sequence of measurement results will be random w.r.t. the corresponding probability measure. In quantum cosmology, QM is used to describe the world as a whole; we have only one copy of the world, so multiple measurements are impossible. How to interpret these probabilities?
In this paper, we use the approach of the algorithmic information theory to come up with a reasonable interpretation. This interpretation is in good accordance with the arguments presented by several physicists (such as D. Finkelstein) that a wave function is not always a physically reasonable description of a quantum state. |
| Author | Longpré, Luc Kreinovich, Vladik |
| Author_xml | – sequence: 1 givenname: Luc surname: Longpré fullname: Longpré, Luc organization: Department of Computer Science, University of Texas – sequence: 2 givenname: Vladik surname: Kreinovich fullname: Kreinovich, Vladik email: vladik@utep.edu organization: Department of Computer Science, University of Texas |
| BookMark | eNp9kMFOwkAQhjcGEwF9AG_7AFZnuy3demtQ1IQoJBiOzbZMYUnZJd2thJvxLbzxLDyKT2IbPHuafzLzTSZfj3S00UjINYNbBhDdWQZRxL0menEIoQdnpMvCyG-6KOyQLoAPXhQF4oL0rF0DQAyB6JKv-Qo1TSqks52hc_mBdFTr3CmjLX1Q1im9rJVdyazEe5ocD6-4Ox4SbXdYUWfoRNal-vn8tnRao22xG7pTbkUnxqF2SpY02W5Llct21hLTWmpXb-jQ2I0pzXJ_Sc4LWVq8-qt98j56nA2fvfHb08swGXu5L4TzOJPBQIoiW0iOHItwEBdFBFAAD2M-yMNFHjYxC2TGEQQKGRScocgWTAo_FrxP2OluXhlrKyzSbaU2stqnDNJWYnqSmLaxlZhCw_gnxja7eolVujZ1pZs3_4F-AROQe0U |
| CitedBy_id | crossref_primary_10_1063_1_4794087 crossref_primary_10_1103_PhysRevA_92_032509 crossref_primary_10_1103_PhysRevLett_106_050401 crossref_primary_10_1103_PhysRevLett_107_188901 |
| Cites_doi | 10.2307/1969123 10.1007/BF02084960 10.1023/A:1024491115367 10.1007/BF00671341 10.1007/BF02435759 10.1007/BF02082898 10.1007/BF00670707 10.1007/BF02083741 10.1007/BF02509456 10.1063/1.522953 10.1007/BF02435779 10.1137/1128025 10.1023/A:1026693109501 10.1007/978-1-4757-2606-0 10.1007/978-1-4899-0027-2 10.1007/BF01079256 10.1515/crll.1909.136.210 10.1007/978-1-4757-3860-5 |
| ContentType | Journal Article |
| Copyright | Springer Science+Business Media, LLC 2007 |
| Copyright_xml | – notice: Springer Science+Business Media, LLC 2007 |
| DBID | AAYXX CITATION |
| DOI | 10.1007/s10773-007-9505-0 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Physics |
| EISSN | 1572-9575 |
| EndPage | 831 |
| ExternalDocumentID | 10_1007_s10773_007_9505_0 |
| GroupedDBID | -54 -5F -5G -BR -DZ -EM -Y2 -~C -~X .86 .VR 06D 0R~ 0VY 1N0 1SB 2.D 203 28- 29J 29~ 2J2 2JN 2JY 2KG 2KM 2LR 2P1 2VQ 2~H 30V 4.4 406 408 409 40D 40E 5GY 5QI 5VS 67Z 6NX 78A 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AABYN AAFGU AAHNG AAIAL AAJKR AANZL AAPBV AARHV AARTL AATNV AATVU AAUYE AAWCG AAYFA AAYIU AAYQN AAYTO ABBBX ABBXA ABDBF ABDZT ABECU ABEFU ABFGW ABFTV ABHLI ABHQN ABJNI ABJOX ABKAS ABKCH ABKTR ABMNI ABMQK ABNWP ABPTK ABQBU ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABWNU ABXPI ACBMV ACBRV ACBXY ACBYP ACGFS ACHSB ACHXU ACIGE ACIPQ ACKNC ACMDZ ACMLO ACNCT ACOKC ACOMO ACTTH ACVWB ACWMK ADHHG ADHIR ADINQ ADJSZ ADKNI ADKPE ADMDM ADOXG ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEEQQ AEFIE AEFTE AEGAL AEGNC AEJHL AEJRE AEKMD AENEX AEOHA AEPYU AESKC AESTI AETLH AEVLU AEVTX AEXYK AEYGD AFEXP AFFNX AFGCZ AFGFF AFLOW AFNRJ AFQWF AFWTZ AFZKB AGAYW AGDGC AGGBP AGGDS AGJBK AGMZJ AGQMX AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIIXL AILAN AIMYW AITGF AJBLW AJDOV AJRNO AJZVZ AKQUC ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARMRJ ASPBG AVWKF AXYYD AYJHY AZFZN B-. B0M BA0 BBWZM BDATZ BGNMA CAG COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP DU5 EAD EAP EAS EBLON EBS EIOEI EJD EMK EPL ESBYG ESX FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNWQR GPTSA GQ6 GQ7 GQ8 GXS HF~ HG5 HG6 HMJXF HQYDN HRMNR HVGLF HZ~ H~9 I-F I09 IHE IJ- IKXTQ ITM IWAJR IXC IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ KDC KOV KOW LAK LLZTM M4Y MA- N2Q NB0 NDZJH NPVJJ NQJWS NU0 O9- O93 O9G O9I O9J OAM OVD P19 P2P P9T PF0 PT4 PT5 QOK QOS R4E R89 R9I RHV RNI RNS ROL RPX RSV RZC RZE RZK S16 S1Z S26 S27 S28 S3B SAP SCLPG SDH SDM SGB SHX SISQX SJYHP SNE SNPRN SNX SOHCF SOJ SPH SPISZ SRMVM SSLCW STPWE SZN T13 T16 TEORI TN5 TSG TSK TSV TUC TUS U2A UG4 UNUBA UOJIU UPT UTJUX UZXMN VC2 VFIZW W23 W48 WH7 WK8 XJT YLTOR Z45 Z7R Z7U Z7X Z7Z Z83 Z88 Z8R Z8W Z92 ZMTXR ~8M ~A9 ~EX AACDK AAEOY AAJBT AASML AAYXX AAYZH ABAKF ACAOD ACDTI ACZOJ AEFQL AEMSY AFBBN AGQEE AGRTI AIGIU AMMEW CITATION H13 |
| ID | FETCH-LOGICAL-c288t-31a46a8fbda3e3ef569ff700f035936c5dc5035b4ab3e08e8a4f31e8bd1a82983 |
| IEDL.DBID | AEJHL |
| ISSN | 0020-7748 |
| IngestDate | Thu Nov 21 21:01:19 EST 2024 Sat Dec 16 12:02:38 EST 2023 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 3 |
| Keywords | Poss Probability Measure Wave Function Quantum State Hilbert Space |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c288t-31a46a8fbda3e3ef569ff700f035936c5dc5035b4ab3e08e8a4f31e8bd1a82983 |
| PageCount | 18 |
| ParticipantIDs | crossref_primary_10_1007_s10773_007_9505_0 springer_journals_10_1007_s10773_007_9505_0 |
| PublicationCentury | 2000 |
| PublicationDate | 2008-03-01 |
| PublicationDateYYYYMMDD | 2008-03-01 |
| PublicationDate_xml | – month: 03 year: 2008 text: 2008-03-01 day: 01 |
| PublicationDecade | 2000 |
| PublicationPlace | Boston |
| PublicationPlace_xml | – name: Boston |
| PublicationTitle | International journal of theoretical physics |
| PublicationTitleAbbrev | Int J Theor Phys |
| PublicationYear | 2008 |
| Publisher | Springer US |
| Publisher_xml | – name: Springer US |
| References | Li, Vitanyi (CR19) 1993 Moroz, Perelomov (CR26) 1994; 101 Kreinovich, Longpré (CR16) 1998; 37 Benioff (CR1) 1976; 17 Kreinovich, Longpré (CR13) 1996; 35 Vovk (CR31) 1987; 35 Hellinger (CR7) 1909; 36 CR17 Moroz (CR24) 1983; 22 Pauli (CR28) 1958 CR12 Li, Vitanyi (CR20) 1997 Zolotarev (CR33) 1983; 28 Finkelstein (CR4) 2003; 42 Moroz (CR23) 1974; 39 von Neumann (CR30) 1955 Wiesbrock (CR32) 1987; 26 Ibragimov, Khasminski (CR8) 1981 Moroz (CR25) 1984; 23 Kreinovich (CR11) 1976; 8 Nilulin, Hazewinkel (CR27) 2001 CR6 CR5 Ismagilov (CR9) 1996; 30 Kreinovich, Longpré (CR14) 1997; 36 Feynman, Leighton, Sands (CR3) 1965 Kreinovich, Vazquez, Kosheleva (CR18) 1991; 30 CR21 Misner, Thorne, Wheeler (CR22) 1973 Kreinovich, Longpré (CR15) 1997; 36 Sakharov (CR29) 1968; 12 Cramer (CR2) 1999 Kakutani (CR10) 1948; 49 V. Kreinovich (9505_CR18) 1991; 30 S. Kakutani (9505_CR10) 1948; 49 9505_CR5 9505_CR6 M. Li (9505_CR19) 1993 B.Z. Moroz (9505_CR24) 1983; 22 B.Z. Moroz (9505_CR26) 1994; 101 V. Kreinovich (9505_CR16) 1998; 37 V. Kreinovich (9505_CR15) 1997; 36 9505_CR21 C.W. Misner (9505_CR22) 1973 R.P. Feynman (9505_CR3) 1965 R.S. Ismagilov (9505_CR9) 1996; 30 9505_CR17 A.D. Sakharov (9505_CR29) 1968; 12 H.-W. Wiesbrock (9505_CR32) 1987; 26 B.Z. Moroz (9505_CR23) 1974; 39 J. Neumann von (9505_CR30) 1955 M.S. Nilulin (9505_CR27) 2001 D.R. Finkelstein (9505_CR4) 2003; 42 H. Cramer (9505_CR2) 1999 V.G. Vovk (9505_CR31) 1987; 35 W. Pauli (9505_CR28) 1958 I.A. Ibragimov (9505_CR8) 1981 V. Kreinovich (9505_CR11) 1976; 8 V. Kreinovich (9505_CR13) 1996; 35 B.Z. Moroz (9505_CR25) 1984; 23 E. Hellinger (9505_CR7) 1909; 36 V. Kreinovich (9505_CR14) 1997; 36 P. Benioff (9505_CR1) 1976; 17 M. Li (9505_CR20) 1997 9505_CR12 V.M. Zolotarev (9505_CR33) 1983; 28 |
| References_xml | – volume: 49 start-page: 214 year: 1948 end-page: 224 ident: CR10 article-title: On equivalence of infinite product measures publication-title: Ann. Math. doi: 10.2307/1969123 contributor: fullname: Kakutani – ident: CR12 – year: 1965 ident: CR3 publication-title: The Feynman Lectures on Physics contributor: fullname: Sands – volume: 35 start-page: 1549 issue: 7 year: 1996 end-page: 1555 ident: CR13 article-title: Unreasonable effectiveness of symmetry in physics publication-title: Int. J. Theor. Phys. doi: 10.1007/BF02084960 contributor: fullname: Longpré – year: 1973 ident: CR22 publication-title: Gravitation contributor: fullname: Wheeler – volume: 101 start-page: 1200 issue: 1 year: 1994 end-page: 1204 ident: CR26 article-title: On a question posed by Pauli publication-title: Theor. Math. Phys. contributor: fullname: Perelomov – volume: 42 start-page: 177 issue: 2 year: 2003 end-page: 187 ident: CR4 article-title: The qubits of qunivac publication-title: Int. J. Theor. Phys. doi: 10.1023/A:1024491115367 contributor: fullname: Finkelstein – ident: CR6 – volume: 12 start-page: 1040 year: 1968 end-page: 1041 ident: CR29 article-title: Vacuum quantum fluctuations in curved space and the theory of gravitation publication-title: Sov. Phys. Dokl. contributor: fullname: Sakharov – volume: 26 start-page: 1175 issue: 12 year: 1987 end-page: 1184 ident: CR32 article-title: Born’s postulate and reconstruction of the -function in nonrelativistic quantum mechanics publication-title: Int. J. Theor. Phys. doi: 10.1007/BF00671341 contributor: fullname: Wiesbrock – volume: 36 start-page: 210 year: 1909 end-page: 271 ident: CR7 article-title: Neue Begrundung der Theorie quadratischer Formen von unendlich vielen Veränderlichen publication-title: J. Reine Angew. Math. contributor: fullname: Hellinger – volume: 36 start-page: 1601 issue: 7 year: 1997 end-page: 1615 ident: CR15 article-title: Nonstandard (non- -additive) probabilities in algebraic quantum field theory publication-title: Int. J. Theor. Phys. doi: 10.1007/BF02435759 contributor: fullname: Longpré – ident: CR21 – year: 2001 ident: CR27 article-title: Hellinger distance publication-title: Encyclopaedia of Mathematics contributor: fullname: Hazewinkel – volume: 22 start-page: 329 year: 1983 end-page: 339 ident: CR24 article-title: Reflections on quantum logics publication-title: Int. J. Theor. Phys. doi: 10.1007/BF02082898 contributor: fullname: Moroz – year: 1997 ident: CR20 publication-title: An Introduction of Kolmogorov Complexity and Its Applications contributor: fullname: Vitanyi – year: 1955 ident: CR30 publication-title: Mathematical Foundations of Quantum Mechanics contributor: fullname: von Neumann – volume: 30 start-page: 113 issue: 2 year: 1991 end-page: 122 ident: CR18 article-title: Prediction problem in quantum mechanics is intractable (NP-hard) publication-title: Int. J. Theor. Phys. doi: 10.1007/BF00670707 contributor: fullname: Kosheleva – volume: 23 start-page: 497 year: 1984 ident: CR25 article-title: Reflections on quantum logics publication-title: Int. J. Theor. Phys. doi: 10.1007/BF02083741 contributor: fullname: Moroz – volume: 30 start-page: 138 issue: 2 year: 1996 end-page: 140 ident: CR9 article-title: On the Pauli problem publication-title: Funct. Anal. Appl. doi: 10.1007/BF02509456 contributor: fullname: Ismagilov – ident: CR17 – volume: 17 start-page: 618 issue: 5 year: 1976 end-page: 640 ident: CR1 article-title: Models of Zermelo Frankel set theories as carriers for the mathematics of physics, I, II publication-title: J. Math. Phys. doi: 10.1063/1.522953 contributor: fullname: Benioff – volume: 8 start-page: 56 issue: 7 year: 1976 end-page: 64 ident: CR11 article-title: On the problem of recovering the -function in non-relativistic quantum mechanics publication-title: Theor. Math. Phys. contributor: fullname: Kreinovich – volume: 36 start-page: 167 issue: 1 year: 1997 end-page: 176 ident: CR14 article-title: Pure quantum states are fundamental, mixtures (composite states) are mathematical constructions an argument using algorithmic information theory publication-title: Int. J. Theor. Phys. doi: 10.1007/BF02435779 contributor: fullname: Longpré – year: 1999 ident: CR2 publication-title: Mathematical Methods of Statistics contributor: fullname: Cramer – volume: 28 start-page: 278 year: 1983 end-page: 302 ident: CR33 article-title: Probability metrics publication-title: Theory Probab. Appl. doi: 10.1137/1128025 contributor: fullname: Zolotarev – ident: CR5 – volume: 37 start-page: 2791 issue: 11 year: 1998 end-page: 2801 ident: CR16 article-title: Why Kolmogorov complexity in physical equations? publication-title: Int. J. Theor. Phys. doi: 10.1023/A:1026693109501 contributor: fullname: Longpré – year: 1993 ident: CR19 publication-title: An Introduction of Kolmogorov Complexity and Its Applications contributor: fullname: Vitanyi – year: 1981 ident: CR8 publication-title: Statistical Estimation: Asymptotic Theory contributor: fullname: Khasminski – volume: 35 start-page: 656 year: 1987 end-page: 660 ident: CR31 article-title: On a randomness criterion publication-title: Sov. Math. Dokl. contributor: fullname: Vovk – volume: 39 start-page: 189 year: 1974 ident: CR23 article-title: States in quantum mechanics and a problem in the theory of operators publication-title: Zap. LOMI contributor: fullname: Moroz – year: 1958 ident: CR28 article-title: Die allgemeinen Prinzipien der Wellenmechanik publication-title: Handbuch der Physik, vol. 5 contributor: fullname: Pauli – volume: 49 start-page: 214 year: 1948 ident: 9505_CR10 publication-title: Ann. Math. doi: 10.2307/1969123 contributor: fullname: S. Kakutani – volume-title: An Introduction of Kolmogorov Complexity and Its Applications year: 1997 ident: 9505_CR20 doi: 10.1007/978-1-4757-2606-0 contributor: fullname: M. Li – ident: 9505_CR17 – volume-title: Encyclopaedia of Mathematics year: 2001 ident: 9505_CR27 contributor: fullname: M.S. Nilulin – volume-title: Gravitation year: 1973 ident: 9505_CR22 contributor: fullname: C.W. Misner – volume: 22 start-page: 329 year: 1983 ident: 9505_CR24 publication-title: Int. J. Theor. Phys. doi: 10.1007/BF02082898 contributor: fullname: B.Z. Moroz – volume: 37 start-page: 2791 issue: 11 year: 1998 ident: 9505_CR16 publication-title: Int. J. Theor. Phys. doi: 10.1023/A:1026693109501 contributor: fullname: V. Kreinovich – volume-title: Mathematical Methods of Statistics year: 1999 ident: 9505_CR2 contributor: fullname: H. Cramer – volume: 8 start-page: 56 issue: 7 year: 1976 ident: 9505_CR11 publication-title: Theor. Math. Phys. contributor: fullname: V. Kreinovich – volume: 30 start-page: 113 issue: 2 year: 1991 ident: 9505_CR18 publication-title: Int. J. Theor. Phys. doi: 10.1007/BF00670707 contributor: fullname: V. Kreinovich – volume: 35 start-page: 1549 issue: 7 year: 1996 ident: 9505_CR13 publication-title: Int. J. Theor. Phys. doi: 10.1007/BF02084960 contributor: fullname: V. Kreinovich – ident: 9505_CR5 – ident: 9505_CR21 – volume: 17 start-page: 618 issue: 5 year: 1976 ident: 9505_CR1 publication-title: J. Math. Phys. doi: 10.1063/1.522953 contributor: fullname: P. Benioff – volume-title: Statistical Estimation: Asymptotic Theory year: 1981 ident: 9505_CR8 doi: 10.1007/978-1-4899-0027-2 contributor: fullname: I.A. Ibragimov – ident: 9505_CR12 – volume: 35 start-page: 656 year: 1987 ident: 9505_CR31 publication-title: Sov. Math. Dokl. contributor: fullname: V.G. Vovk – volume: 28 start-page: 278 year: 1983 ident: 9505_CR33 publication-title: Theory Probab. Appl. doi: 10.1137/1128025 contributor: fullname: V.M. Zolotarev – volume: 30 start-page: 138 issue: 2 year: 1996 ident: 9505_CR9 publication-title: Funct. Anal. Appl. doi: 10.1007/BF02509456 contributor: fullname: R.S. Ismagilov – volume-title: Mathematical Foundations of Quantum Mechanics year: 1955 ident: 9505_CR30 contributor: fullname: J. Neumann von – volume-title: The Feynman Lectures on Physics year: 1965 ident: 9505_CR3 contributor: fullname: R.P. Feynman – volume: 12 start-page: 1040 year: 1968 ident: 9505_CR29 publication-title: Sov. Phys. Dokl. contributor: fullname: A.D. Sakharov – volume: 42 start-page: 177 issue: 2 year: 2003 ident: 9505_CR4 publication-title: Int. J. Theor. Phys. doi: 10.1023/A:1024491115367 contributor: fullname: D.R. Finkelstein – volume: 23 start-page: 497 year: 1984 ident: 9505_CR25 publication-title: Int. J. Theor. Phys. doi: 10.1007/BF02083741 contributor: fullname: B.Z. Moroz – volume-title: Handbuch der Physik, vol. 5 year: 1958 ident: 9505_CR28 contributor: fullname: W. Pauli – volume: 101 start-page: 1200 issue: 1 year: 1994 ident: 9505_CR26 publication-title: Theor. Math. Phys. doi: 10.1007/BF01079256 contributor: fullname: B.Z. Moroz – volume: 26 start-page: 1175 issue: 12 year: 1987 ident: 9505_CR32 publication-title: Int. J. Theor. Phys. doi: 10.1007/BF00671341 contributor: fullname: H.-W. Wiesbrock – volume: 36 start-page: 1601 issue: 7 year: 1997 ident: 9505_CR15 publication-title: Int. J. Theor. Phys. doi: 10.1007/BF02435759 contributor: fullname: V. Kreinovich – ident: 9505_CR6 – volume: 39 start-page: 189 year: 1974 ident: 9505_CR23 publication-title: Zap. LOMI contributor: fullname: B.Z. Moroz – volume: 36 start-page: 167 issue: 1 year: 1997 ident: 9505_CR14 publication-title: Int. J. Theor. Phys. doi: 10.1007/BF02435779 contributor: fullname: V. Kreinovich – volume: 36 start-page: 210 year: 1909 ident: 9505_CR7 publication-title: J. Reine Angew. Math. doi: 10.1515/crll.1909.136.210 contributor: fullname: E. Hellinger – volume-title: An Introduction of Kolmogorov Complexity and Its Applications year: 1993 ident: 9505_CR19 doi: 10.1007/978-1-4757-3860-5 contributor: fullname: M. Li |
| SSID | ssj0009048 |
| Score | 1.8380015 |
| Snippet | Traditional quantum mechanics (QM) predicts probabilities of different events. If we describe an elementary particle, then, experimentally, these probabilities... |
| SourceID | crossref springer |
| SourceType | Aggregation Database Publisher |
| StartPage | 814 |
| SubjectTerms | Elementary Particles Mathematical and Computational Physics Physics Physics and Astronomy Quantum Field Theory Quantum Physics Theoretical |
| Title | When Are Two Wave Functions Distinguishable: A New Answer to Pauli’s Question, with Potential Application to Quantum Cosmology |
| URI | https://link.springer.com/article/10.1007/s10773-007-9505-0 |
| Volume | 47 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1bS8MwFA5uQ_DFuzhv5MEntdI1bZP6VnZhiIjixO2ppG0iomtlbd2r-C9822_ZT_GXmNOtzoE-6FMDTdJyei7JOV-_IHTIHdsxOJEaM5WRmwa1NcdiXKMWlSQ0VUjNiefbN_SyyxpNoMkxvlIX0eNpUZHMHfW3f90oJRpk1hwLAGclVFGhx1K6XXGb5-2LGdWubk78r9oYqcUNK2qZP00yH43mS6F5hGmt_OfdVtHydD2J3YkCrKEFEa2jxRzXGSQb6E0520jdFbgzjPEdfxG4pSJZrmy4AfYd3WdwALP_JM6wOx4ppzceuVEyFAOcxhiAgw8fr-8JzjOjatgJhtQtvopTwBnBo2clcBhxnalvlfVxPU76ecp-E922mp16W5seu6AFBmOp8srctDmTfsiJIEJaNuR1dV0C2x-xAysMLNX0Te4ToTPBuClJTTA_rHFmOIxsoXIUR2IbYepwteSgohaG0jSkmtWihuTMJroTOEZQRUeF-L3nCbuGN-NRBqF60AShenoVHRfS96aGlvzee-dPvXfR0gQIAuCyPVROB5nYR6UkzA6m6gXXbq_X-AScqM2O |
| link.rule.ids | 315,782,786,27933,27934,41073,42142,48344,48347,48357,49649,49652,49662,52153 |
| linkProvider | Springer Nature |
| linkToHtml | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV27TsMwFLVoKwQLb0R5emACIqWxE9tsVR-0olQgimCLnMRGSDRBTUJXxF-w9Vv6KXwJdtqoVIIBNkuxnej6Ppx7j48BOObMYRZH0qBYGTm2iGMwm3KD2ESiAKuQmhHPt25J94HWG5omB-VnYTK0e16SzDz1t8NuhCBDp9aYrRFnBVDCzMFKlUvVdu-iOePaNfHEAas_I7W7oXkx86dJ5sPRfC00CzHN1X993BpYme4oYXWiAutgQYQbYDFDdvrxJnhX7jZUTwXsDSN4z18FbKpYlqkbrGsLDx9TfQWz9yzOYXU8Um5vPKqG8VAMYBJBDR18-nz7iGGWG1XDzqBO3sLrKNFII_3qWRFcj7hJ1WqlfViL4n6WtN8Cd81Gr9YyphcvGL5FaaL8MscOp9ILOBJISNvRmV3TlJrvDzm-Hfi2anqYe0iYVFCOJaoI6gUVTi1G0TYohlEodgAkjKtNBxGVIJDYkmpWm1iSUweZzGeWXwYnufzdlwm_hjtjUtZCdXVTC9U1y-A0l747NbX49967f-p9BJZavauO22l3L_fA8gQWoqFm-6CYDFJxAApxkB5Ode0LgKTPzA |
| linkToPdf | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3LSsNAFB2sRXHjW3w7C1dqaJpJMhM3UtqGqqVUVHQXJsmMCJqIaexW_At3_ZZ-il_i3Dyogi7E3UDmxdxn7r1zBqF97tiOwYnUmKmE3DSorTkW4xq1qCShqUxqBjzfuaS9W9ZqA0zOSXkXJqt2L1OS-Z0GQGmKBrWnUNa-XHyjlGgQZnMsqD6roKpaiypGrzbaZ53uBHdXN3NlrP6SlKfDysTmT5N8N03f86KZuXEX_r3RRTRfeJq4kbPGEpoS0TKaySo-g2QFvSk1HKmvAl8NY3zDXwR2lY3L2BC3QPKjuxSeZvYfxDFujEdKHY5HjSgZimc8iDGUFN5_vL4nOIuZqmFHGIK6uB_D_u5h6UlyHEZcpIqK6SNuxsljFsxfRddu-6rZ0YoHGbTAYGyg9DU3bc6kH3IiiJCWDRFfXZeAA0jswAoDSzV9k_tE6EwwbkpSF8wP65wZDiNraDqKI7GOMHW4ckaoqIehNA2pZrWoITmzie4EjhFsoIOSFt5TjrvhTRCW4VA9aMKhevoGOiwp4RUimPzee_NPvffQbL_let3T3vkWmsurRaACbRtND55TsYMqSZjuFmz3CYte2I8 |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=When+Are+Two+Wave+Functions+Distinguishable%3A+A%C2%A0New%C2%A0Answer+to+Pauli%E2%80%99s+Question%2C+with+Potential+Application+to+Quantum+Cosmology&rft.jtitle=International+journal+of+theoretical+physics&rft.au=Longpr%C3%A9%2C+Luc&rft.au=Kreinovich%2C+Vladik&rft.date=2008-03-01&rft.pub=Springer+US&rft.issn=0020-7748&rft.eissn=1572-9575&rft.volume=47&rft.issue=3&rft.spage=814&rft.epage=831&rft_id=info:doi/10.1007%2Fs10773-007-9505-0&rft.externalDocID=10_1007_s10773_007_9505_0 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0020-7748&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0020-7748&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0020-7748&client=summon |