Zero point energy and zero point oscillations: how they are detected experimentally
Y.M. Tsipenyuk
Abstract
Y.M. Tsipenyuk
Abstract
³ÑAEÇÓÉÂÐËÇ 1. £ÄÇAEÇÐËÇ (855).2. ²ÂÊÄËÕËÇ ÒÓÇAEÔÕÂÄÎÇÐËÌ Ñ ÐÖÎÇÄÑÌ àÐÇÓÅËË (856).3. ªÊÑÕÑÒ-à××ÇÍÕ Ä àÎÇÍÕÓÑÐÐÑ-ÍÑÎÇÃÂÕÇÎßÐÞØ ÔÒÇÍÕÓÂØ ÏÑÎÇÍÖÎ (857).4. ¥Ë×ÓÂÍÙËâ ÓÇÐÕÅÇÐÑÄÔÍËØ ÎÖÚÇÌ Ë ÐÇÌÕÓÑÐÑÄ Ð ÍÓËÔÕÂÎÎÂØ (859). 5. ±ÓÑâÄÎÇÐËÇ ÐÖÎÇÄÞØ ÍÑÎÇÃÂÐËÌ Ä ÄÇÓÑâÕÐÑÔÕË à××ÇÍÕ ®ÈÔÔÃÂÖ-àÓ (861).6. ¯ÂÃÎáAEÇÐËÇ ÍÄÂÐÕÑÄÞØ à××ÇÍÕÑÄ Ä ÏÂÍÓÑÔÍÑÒËÚÇÔÍËØ ÑÔÙËÎÎâ-ÕÑÓÂØ (862).7. °ÒÕËÚÇÔÍÑÇ ÑØÎÂÉAEÇÐËÇ ÐÂÐÑÏÇØÂÐËÚÇÔÍËØ ÑÔÙËÎÎâÕÑÓÑÄ (864).8. ©ÂÍÎáÚÇÐËÇ (866).³ÒËÔÑÍ ÎËÕÇÓÂÕÖÓÞ (867).1. £ÄÇAEÇÐËÇ £ ÍÎÂÔÔËÚÇÔÍÑÌ ×ËÊËÍÇ ÒÑÎÐÂâ àÐÇÓÅËâ ÚÂÔÕËÙÞ, РÍÑÕÑÓÖá AEÇÌÔÕÄÖÇÕ ÐÇÍÂâ ÍÑÐÔÇÓÄÂÕËÄÐÂâ ÔËÎÂ Ô ÒÑÕÇÐ-ÙËÂÎÑÏ U, ÄÞÓÂÉÂÇÕÔâ Ä ÄËAEÇ E mv 2 2 Ur X 1 ¥Îâ ÕÑÅÑ ÚÕÑÃÞ ÐÂÌÕË ÑÔÐÑÄÐÑÇ ÔÑÔÕÑâÐËÇ ÚÂÔÕËÙÞ, ÐÂAEÑ "ÑÃÐÖÎËÕß" ÇÈ ÔÍÑÓÑÔÕß Ë ÒÑÏÇÔÕËÕß ÚÂÔÕËÙÖ Ä ÕÑÚÍÖ, Ä ÍÑÕÑÓÑÌ ÇÈ ÒÑÕÇÐÙËÂÎßÐÂâ àÐÇÓÅËâ U ÃÖAEÇÕ ÏËÐËÏÂÎßÐÂ.¯Ñ ÏÞ ÒÑÎÖÚËÏ ÓÇÊÖÎßÕÂÕ, âÄÎâáÜËÌÔâ ÎËÛß ÍÎÂÔÔËÚÇ-ÔÍËÏ ÒÓËÃÎËÉÇÐËÇÏ ÓÇÂÎßÐÑÅÑ ÏËÓÂ.¥ÇÎÑ Ä ÕÑÏ, ÚÕÑ Ä ÍÎÂÔÔËÚÇÔÍÑÌ ×ËÊËÍÇ ÒÑÎÑÉÇÐËÇ ÚÂÔÕËÙÞ Ä ÒÓÑÔÕÓÂÐÔÕÄÇ Ë ÇÈ ËÏÒÖÎßÔ (ÔÍÑÓÑÔÕß) ÑAEÐÑÊÐÂÚÐÑ ÑÒÓÇAEÇÎÇÐÞ,  àÕÑ ÒÓÑÕËÄÑÓÇÚËÕ ÑÔÐÑÄÐÞÏ ÒÓËÐÙËÒÂÏ ÍÄÂÐÕÑÄÑÌ ×ËÊËÍË, Ä ÍÑÕÑÓÑÌ, ÔÑÅÎÂÔÐÑ ÔÑÑÕÐÑÛÇÐËá ÐÇÑÒÓÇAEÇÎÈÐÐÑÔÕÇÌ, ÒÑÎÑÉÇÐËá ÚÂÔÕËÙÞ Ä ×ÂÊÑÄÑÏ ÒÓÑÔÕÓÂÐÔÕÄÇ ÔÑÑÕÄÇÕ-ÔÕÄÖÇÕ ÐÇ ÕÑÚÍÂ,  ÐÇÍÂâ ÑÃÎÂÔÕß ÓÂÊÏÇÓÑÏ 2p" h 3 .°ÕÔáAE ÔÎÇAEÖÇÕ, ÚÕÑ ÚÂÔÕËÙ ÑÃÎÂAEÂÇÕ ÕÂÍ ÐÂÊÞÄÂÇÏÑÌ ÐÖÎÇÄÑÌ àÐÇÓÅËÇÌ E 0 , Õ.Ç.ÒÑÎÐÂâ àÐÇÓÅËâ ÚÂÔÕËÙÞ ÃÑÎßÛÇ ÏËÐË-ÏÂÎßÐÑÌ ÍÎÂÔÔËÚÇÔÍÑÌ àÐÇÓÅËË Ð E 0 .¦ÔÎË ÏÞ ËÏÇÇÏ AEÇÎÑ Ô ÚÂÔÕËÙÇÌ, ÐÂØÑAEâÜÇÌÔâ Ä ÑAEÐÑÏÇÓÐÑÏ ÒÂÓÂÃÑÎËÚÇ-ÔÍÑÏ ÒÑÕÇÐÙËÂÎÇ (ÅÂÓÏÑÐËÚÇÔÍËÌ ÑÔÙËÎÎâÕÑÓ), ÕÑ ÐÖÎÇ-ÄÂâ àÐÇÓÅËâ, ÍÂÍ ÄÒÇÓÄÞÇ ÃÞÎÑ ÒÑÍÂÊÂÐÑ ¤ÇÌÊÇÐÃÇÓÅÑÏ Ä 1925 Å. [1], ÓÂÄР" hoa2, ÅAEÇ o ì ÍÎÂÔÔËÚÇÔÍÂâ ÍÓÖÅÑÄÂâ ÚÂÔÕÑÕ ÍÑÎÇÃÂÐËÌ ÚÂÔÕËÙÞ (Ä ÕÓÈØÏÇÓÐÑÏ ÅÂÓÏÑÐËÚÇ-ÔÍÑÏ ÒÑÕÇÐÙËÂÎÇ E 0 3" hoa2).¯ÖÎÇÄÂâ àÐÇÓÅËâ, ÍÑÕÑÓÂâ ËÅÓÂÇÕ ÓÑÎß ÂAEAEËÕËÄÐÑÌ ÒÑÔÕÑâÐÐÑÌ, ÏÑÉÇÕ ÓÂÔÔÏÂÕÓË-ÄÂÕßÔâ ÍÂÍ ÖÓÑÄÇÐß ÑÕÔÚÈÕ àÐÇÓÅËË.¦ÔÕÇÔÕÄÇÐÐÑ ÔÄâÊÂÕß ÐÖÎÇÄÖá àÐÇÓÅËá Ô ÐÇÍËÏ AEÄË-ÉÇÐËÇÏ, ÒÑàÕÑÏÖ ÅÑÄÑÓâÕ, ÚÕÑ ÚÂÔÕËÙ ÔÑÄÇÓÛÂÇÕ ÐÖÎÇ-ÄÞÇ ÍÑÎÇÃÂÐËâ.¬ÑÐÇÚÐÑ, ÒÑÔÎÇAEÐÇÇ ÖÕÄÇÓÉAEÇÐËÇ ÑÔÐÑ-ÄÂÐÑ ÒÓÑÔÕÑ ÎËÛß Ð ÂÐÂÎÑÅËË Ô ÍÎÂÔÔËÚÇÔÍÑÌ ×ËÊËÍÑÌ, ÐËÍÂÍÑÅÑ "ÍÎÂÔÔËÚÇÔÍÑÅÑ" AEÄËÉÇÐËâ ÚÂÔÕËÙÞ ÐÇ ÒÓÑËÔ-ØÑAEËÕ, ÕÂÍ ÍÂÍ ËÏÒÖÎßÔ ÚÂÔÕËÙÞ Ä ÔÕÂÙËÑÐÂÓÐÑÏ ÔÑÔÕÑâ-ÐËË ÐÇ ËÏÇÇÕ ÑÒÓÇAEÇÎÈÐÐÑÅÑ ÊÐÂÚÇÐËâ, Õ.Ç.ÐÇÕ ÑÒÓÇAEÇÎÈÐ-ÐÑÌ ÕÓÂÇÍÕÑÓËË ÚÂÔÕËÙÞ.³ÑÔÕÑâÐËÇ ÚÂÔÕËÙÞ, ÔÑÅÎÂÔÐÑ ÍÄÂÐÕÑÄÑ-ÏÇØÂÐËÚÇÔÍÑÏÖ ÑÒËÔÂÐËá, ÑÒÓÇAEÇÎâÇÕÔâ ÄÑÎ
OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
³ÑAEÇÓÉÂÐËÇ 1. £ÄÇAEÇÐËÇ (855).2. ²ÂÊÄËÕËÇ ÒÓÇAEÔÕÂÄÎÇÐËÌ Ñ ÐÖÎÇÄÑÌ àÐÇÓÅËË (856).3. ªÊÑÕÑÒ-à××ÇÍÕ Ä àÎÇÍÕÓÑÐÐÑ-ÍÑÎÇÃÂÕÇÎßÐÞØ ÔÒÇÍÕÓÂØ ÏÑÎÇÍÖÎ (857).4. ¥Ë×ÓÂÍÙËâ ÓÇÐÕÅÇÐÑÄÔÍËØ ÎÖÚÇÌ Ë ÐÇÌÕÓÑÐÑÄ Ð ÍÓËÔÕÂÎÎÂØ (859). 5. ±ÓÑâÄÎÇÐËÇ ÐÖÎÇÄÞØ ÍÑÎÇÃÂÐËÌ Ä ÄÇÓÑâÕÐÑÔÕË à××ÇÍÕ ®ÈÔÔÃÂÖ-àÓ (861).6. ¯ÂÃÎáAEÇÐËÇ ÍÄÂÐÕÑÄÞØ à××ÇÍÕÑÄ Ä ÏÂÍÓÑÔÍÑÒËÚÇÔÍËØ ÑÔÙËÎÎâ-ÕÑÓÂØ (862).7. °ÒÕËÚÇÔÍÑÇ ÑØÎÂÉAEÇÐËÇ ÐÂÐÑÏÇØÂÐËÚÇÔÍËØ ÑÔÙËÎÎâÕÑÓÑÄ (864).8. ©ÂÍÎáÚÇÐËÇ (866).³ÒËÔÑÍ ÎËÕÇÓÂÕÖÓÞ (867).1. £ÄÇAEÇÐËÇ £ ÍÎÂÔÔËÚÇÔÍÑÌ ×ËÊËÍÇ ÒÑÎÐÂâ àÐÇÓÅËâ ÚÂÔÕËÙÞ, РÍÑÕÑÓÖá AEÇÌÔÕÄÖÇÕ ÐÇÍÂâ ÍÑÐÔÇÓÄÂÕËÄÐÂâ ÔËÎÂ Ô ÒÑÕÇÐ-ÙËÂÎÑÏ U, ÄÞÓÂÉÂÇÕÔâ Ä ÄËAEÇ E mv 2 2 Ur X 1 ¥Îâ ÕÑÅÑ ÚÕÑÃÞ ÐÂÌÕË ÑÔÐÑÄÐÑÇ ÔÑÔÕÑâÐËÇ ÚÂÔÕËÙÞ, ÐÂAEÑ "ÑÃÐÖÎËÕß" ÇÈ ÔÍÑÓÑÔÕß Ë ÒÑÏÇÔÕËÕß ÚÂÔÕËÙÖ Ä ÕÑÚÍÖ, Ä ÍÑÕÑÓÑÌ ÇÈ ÒÑÕÇÐÙËÂÎßÐÂâ àÐÇÓÅËâ U ÃÖAEÇÕ ÏËÐËÏÂÎßÐÂ.¯Ñ ÏÞ ÒÑÎÖÚËÏ ÓÇÊÖÎßÕÂÕ, âÄÎâáÜËÌÔâ ÎËÛß ÍÎÂÔÔËÚÇ-ÔÍËÏ ÒÓËÃÎËÉÇÐËÇÏ ÓÇÂÎßÐÑÅÑ ÏËÓÂ.¥ÇÎÑ Ä ÕÑÏ, ÚÕÑ Ä ÍÎÂÔÔËÚÇÔÍÑÌ ×ËÊËÍÇ ÒÑÎÑÉÇÐËÇ ÚÂÔÕËÙÞ Ä ÒÓÑÔÕÓÂÐÔÕÄÇ Ë ÇÈ ËÏÒÖÎßÔ (ÔÍÑÓÑÔÕß) ÑAEÐÑÊÐÂÚÐÑ ÑÒÓÇAEÇÎÇÐÞ,  àÕÑ ÒÓÑÕËÄÑÓÇÚËÕ ÑÔÐÑÄÐÞÏ ÒÓËÐÙËÒÂÏ ÍÄÂÐÕÑÄÑÌ ×ËÊËÍË, Ä ÍÑÕÑÓÑÌ, ÔÑÅÎÂÔÐÑ ÔÑÑÕÐÑÛÇÐËá ÐÇÑÒÓÇAEÇÎÈÐÐÑÔÕÇÌ, ÒÑÎÑÉÇÐËá ÚÂÔÕËÙÞ Ä ×ÂÊÑÄÑÏ ÒÓÑÔÕÓÂÐÔÕÄÇ ÔÑÑÕÄÇÕ-ÔÕÄÖÇÕ ÐÇ ÕÑÚÍÂ,  ÐÇÍÂâ ÑÃÎÂÔÕß ÓÂÊÏÇÓÑÏ 2p" h 3 .°ÕÔáAE ÔÎÇAEÖÇÕ, ÚÕÑ ÚÂÔÕËÙ ÑÃÎÂAEÂÇÕ ÕÂÍ ÐÂÊÞÄÂÇÏÑÌ ÐÖÎÇÄÑÌ àÐÇÓÅËÇÌ E 0 , Õ.Ç.ÒÑÎÐÂâ àÐÇÓÅËâ ÚÂÔÕËÙÞ ÃÑÎßÛÇ ÏËÐË-ÏÂÎßÐÑÌ ÍÎÂÔÔËÚÇÔÍÑÌ àÐÇÓÅËË Ð E 0 .¦ÔÎË ÏÞ ËÏÇÇÏ AEÇÎÑ Ô ÚÂÔÕËÙÇÌ, ÐÂØÑAEâÜÇÌÔâ Ä ÑAEÐÑÏÇÓÐÑÏ ÒÂÓÂÃÑÎËÚÇ-ÔÍÑÏ ÒÑÕÇÐÙËÂÎÇ (ÅÂÓÏÑÐËÚÇÔÍËÌ ÑÔÙËÎÎâÕÑÓ), ÕÑ ÐÖÎÇ-ÄÂâ àÐÇÓÅËâ, ÍÂÍ ÄÒÇÓÄÞÇ ÃÞÎÑ ÒÑÍÂÊÂÐÑ ¤ÇÌÊÇÐÃÇÓÅÑÏ Ä 1925 Å. [1], ÓÂÄР" hoa2, ÅAEÇ o ì ÍÎÂÔÔËÚÇÔÍÂâ ÍÓÖÅÑÄÂâ ÚÂÔÕÑÕ ÍÑÎÇÃÂÐËÌ ÚÂÔÕËÙÞ (Ä ÕÓÈØÏÇÓÐÑÏ ÅÂÓÏÑÐËÚÇ-ÔÍÑÏ ÒÑÕÇÐÙËÂÎÇ E 0 3" hoa2).¯ÖÎÇÄÂâ àÐÇÓÅËâ, ÍÑÕÑÓÂâ ËÅÓÂÇÕ ÓÑÎß ÂAEAEËÕËÄÐÑÌ ÒÑÔÕÑâÐÐÑÌ, ÏÑÉÇÕ ÓÂÔÔÏÂÕÓË-ÄÂÕßÔâ ÍÂÍ ÖÓÑÄÇÐß ÑÕÔÚÈÕ àÐÇÓÅËË.¦ÔÕÇÔÕÄÇÐÐÑ ÔÄâÊÂÕß ÐÖÎÇÄÖá àÐÇÓÅËá Ô ÐÇÍËÏ AEÄË-ÉÇÐËÇÏ, ÒÑàÕÑÏÖ ÅÑÄÑÓâÕ, ÚÕÑ ÚÂÔÕËÙ ÔÑÄÇÓÛÂÇÕ ÐÖÎÇ-ÄÞÇ ÍÑÎÇÃÂÐËâ.¬ÑÐÇÚÐÑ, ÒÑÔÎÇAEÐÇÇ ÖÕÄÇÓÉAEÇÐËÇ ÑÔÐÑ-ÄÂÐÑ ÒÓÑÔÕÑ ÎËÛß Ð ÂÐÂÎÑÅËË Ô ÍÎÂÔÔËÚÇÔÍÑÌ ×ËÊËÍÑÌ, ÐËÍÂÍÑÅÑ "ÍÎÂÔÔËÚÇÔÍÑÅÑ" AEÄËÉÇÐËâ ÚÂÔÕËÙÞ ÐÇ ÒÓÑËÔ-ØÑAEËÕ, ÕÂÍ ÍÂÍ ËÏÒÖÎßÔ ÚÂÔÕËÙÞ Ä ÔÕÂÙËÑÐÂÓÐÑÏ ÔÑÔÕÑâ-ÐËË ÐÇ ËÏÇÇÕ ÑÒÓÇAEÇÎÈÐÐÑÅÑ ÊÐÂÚÇÐËâ, Õ.Ç.ÐÇÕ ÑÒÓÇAEÇÎÈÐ-ÐÑÌ ÕÓÂÇÍÕÑÓËË ÚÂÔÕËÙÞ.³ÑÔÕÑâÐËÇ ÚÂÔÕËÙÞ, ÔÑÅÎÂÔÐÑ ÍÄÂÐÕÑÄÑ-ÏÇØÂÐËÚÇÔÍÑÏÖ ÑÒËÔÂÐËá, ÑÒÓÇAEÇÎâÇÕÔâ ÄÑÎ
Key concepts: Zero-point energy, Zero (linguistics), Point (geometry), Energy (signal processing), Physics, Mathematics, Quantum mechanics, Geometry