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Unveiling the Damped Quantum Harmonic Oscillator [PDF]
Jurnal Kumparan FisikaThis article dis cusses the often-overlooked "damped" quantum harmonic oscillator, a vibrating system that loses energy over time. We bridge the classical-quantum divide, starting with the familiar equation of motion for a damped oscillator using Hooke's Yahya Efendi, Faza Atika Anumillah, Muhammad Nurhuda +2 moredoaj +2 more sourcesObservation of a kilogram-scale oscillator near its quantum ground state [PDF]
, 2009 We introduce a novel cooling technique capable of approaching the quantum ground state of a kilogram-scale system—an interferometric gravitational wave detector.Diaz, Mario C., Amin, R., Armor, P., Mukherjee, Soma, Bilenko, I. A., Abbott, B. P., Ajith, P., Anderson, S. B., Biswas, R., Barr, B., Aulbert, C., Abbott, R., Aston, S., Barker, C., Allen, G., Mohanty, Soumya, Bayer, K., Summerscales, Tiffany Z., Araya, M., Aso, Y., Bantilan, H., Beyersdorf, P. T., Abbott, B., Betzwieser, J., Billingsley, G., Armandula, H., Ballmer, S., Babak, S., Barish, B. C., Romano, Joseph D., Barriga, P., Barker, D., Adhikari, R., Allen, B., Bastarrika, M., Anderson, W. G., Arain, M. A., Barton, M. A., Aufmuth, P., Blair, D, McGuire SC, Anderson SB, Leindecker N, Strom, D. M., McKechan, D, Cagnoli, G., Pinto, I. M., Yan Z, Mitra, S, Sigg, D, Ward R., DeBra, D, Blair, D., Weinstein, A, Sutton, P. J., Bodiya TP, Trias, M, Gustafson E. K., Nash T., Takahashi, H., Leonor I., Aulbert C, Torres C., Buonanno, A, Ottens, R. S., Kamat S., Russell P, Lang, M M, Hanna, C., Dwyer JG, Frolov, V V, Tokmakov, K.V., Etzel T., Müller-Ebhardt, H, Numata, K., Lam, P., Hennessy M., Amin R., Katsavounidis E., Fehrmann H, Ju, L, Cao J, Sears, B, Charlton P., Grosso R., Dwyer, J. G., Ingram, D, Nelson, J., Vyatchanin S. P., Beyersdorf P. T., Scott SM, Christensen N., Harms, J, Villar A, Fejer MM, Smith N. D., Zotov N, Romano, J D, Raab, F, Hirose, E, POSTIGLIONE, Fabio, Sato S, Meshkov S., Pitkin, M., Scott, S.M., Kopparapu R. K., Mailand K., Murray P, Fotopoulos, N, O'Reilly B, Anderson WG, Duke, I., Stein L. C., Mow-Lowry C, Riles, K, Heng, I.S., Sung M., Torrie C., Rabeling D. S., Sakata, S., Brady, P R, Papa, M.A., Wooley R., Chen Y, Sung, M., Aso Y, Ivanov A, Matzner, R., Papa M. A., Murray P., Nelson J, Gossler S., Grunewald, S, Jones, D.I., Casebolt, T, Veitch J, Clark D., Veitch P, Johnson, B, et al., Kells W., Kalmus, P, Riles K, Smith, J., Billingsley G., Tanner DB, Effler A, Mohanty S., Khazanov E, Chelkowski, Simon, Kissel, J. S., Cepeda, C., Zhao, C., Dhurandhar, S., Munch J, Fotopoulos N, Johnson B, Wipf CC, Rabeling, David, Martin, Rodica, Armor, P, Yamamoto H., Mageswaran M., Kopparapu, R.K., Brooks, A., Klimenko S., Desai S., Quetschke V, Flasch, K, Hoak D., Camp JB, Freise A, Bodiya, T., Fricke, T, Lubinski M, Sathyaprakash, B., Traylor, G., van der Sluys, M, Cao, Junwei, Mohanty S, Mueller-Ebhardt, H., Khalili F. Ya, Chalkley, E, McIvor, G, Brady, P., Wette K., Hage B., Kissel JS, Torres, C., Blackburn, Lindy L., Winkler W., Schutz, Bernard Frederick, Sathyaprakash, B.S., Slagmolen B. J. J., Zweizig J., Aston S., Wooley, R., Robinson, Craig Anthony, Gustafson, E K, Schnabel R., Roddy, S, Lockerbie NA, Klimenko S, Villar, A., Garofoli J., Hosken D., Dumas J, Harry, G, Kanner J., McIvor, G., Degallaix, J, Robinson, E L, Leonhardt V., Stuver, A, Barr, B, Mendell G., Hayler, T, Sellers, D., Giampanis S., Wu, W, Leindecker N., Armandula H, Ramsunder, M., Seifert F., Kopparapu RK, Fan, Y, Schilling R., Mavalvala N., Mittleman R., Van Den Broeck, C., Roddy S, Barton, M., Creighton JDE, Kondrashov V, Allen B., Marx J. N., Takahashi, H, Postiglione, F., Gustafson, E., Anderson, W G, Strain, K A, McClelland, D. E., Lück H., Duke I, Abbott R., Whitcomb, S E, Duke I., Bodiya, Timothy Paul, Ehrens, P., Mitra, S., Fritschel, P, Grimaldi F, Fairhurst, Stephen, Perreca A., Mossavi, K, Wipf, C C, Robinson, E. L., Aston, Stuart, Mueller, G, Petrie, T., Ito, M., Riles, K., Schofield, R, McIntyre, G, Ito M., Petrie T, Strain, K.A., Tyler, W., Mason K., Miao H, Owen BJ, Hough, J, Ramsunder M, Penn, S., Thorne KA, Sandberg, V, Etzel, T., Huttner, S.H., Samidi M., Slagmolen, B., Sakata S., Degree M., Stuver A, Patel, P., Smith, M R, Thorne KS, Rakhmanov, M., Ballmer S., Rehbein, H, Romano J. D., Khan R., Rüdiger, A, Allen G., Parameshwaraiah V., Waldman, S. J., Boschi, V, Wiseman, A.G., Brady, P. R., Bogue L, Fazi, D., Cannizzo, J., Ottaway, David J., Mason, K., Sancho de la Jordana L., Stochino, A, Weinert, M, Fritschel, Peter K., Kawabe K., Strain KA, Veitch, J, Robertson N. A., Rivera B., Kissel, J S, Maros E, LIGO Sci Collaboration, Barriga P, Veitch, P, Willke, B., Charlton P, Ehrens, P, Numata, K, Ryan, K., Dickson J., Pletsch, H.J., Romano, J. D., Kissel J. S., Rowan, S, Marx, J. N., Biswas R, Veitch, J., Huttner, S. H., Moe, B, Grimaldi, F., Minelli, J, Sengupta, A S, Giampanis, S., Araya, M, Meshkov S, Burmeister O, Lockerbie N. A., Moe B, Vecchio A., Lin H, Dickson J, Flasch, K., Hanson, J., Sigg, D., McKechan, D., Lantz B., Lucianetti, A., Rogan A. M., Luck, H., de la Jordana, L. S., Schutz, B., Kopparapu, R K, Cokelaer T, Sancho de la Jordana, L., Whelan J. T., Mohanty, S., Sears B, Shawhan, P., Davies, G, Danzmann K., Coyne D., Fan Y, Matichard F., Dooley, K.L., Martin, R. M., Gray M, Gouaty R., Williams, L, Schnabel R, Gray C, Corbitt, Thomas R., Kawamura, S, Lormand M., Mukhopadhyay H, Melissinos A, Saulson, P., Russell, P, Munch, J., Lang, M., Corbitt, T., Harstad, E., Sellers D., Messenger C. J., Freise, Andreas, King, P, Lam PK, Sengupta, A., Markosyan A., Whelan JT, Sorazu, B, Jones, D. I., Kim C., Fyffe M., Woan G, Schofield, R., Brown, D. A., Hammer D., Van Den Broeck, Chris, O'Dell, J., Fejer, M.M., Plissi MV, Keppel D. G., Reitze, D., Heptonstall A., Fejer, M M, Ulmen J, Dalrymple, J, Bose, S, Papa, M A, Rollins, J., Smith MR, Robertson, N.A., Schediwy S. W., Vorvick C, Dickson, J., Ward H., Mukherjee S., Vahlbruch, H, Degallaix J, Barish, B C, Ruet L., Smith ND, Khalili, F Ya, Cokelaer, T., Kawazoe F, Fritschel, P., Veitch, P., Aso Y., McKenzie K., Sellers D, Lormand, M., Weinstein, A., Espinoza E., Hammer, D., Whiting, B. F., Clark J, Christensen, N., González G, Winkler W, Mow-Lowry, C., Mitselmakher G, Markosyan A, Clark D, O'Dell, J, Rogan, A.M., Vaulin R, Jones G., Maros E., Chen Y., Chatterji, S, Shawhan P, Doomes, E., Echols C, Owen, B., Dupuis, R.J., Mueller G, Strom, D., Márka S., Mukherjee S, Nash T, Pankow C., Brau J. E., Mercer, R A, Gras, S., Zweizig, J., Grote H., Jones DI, Mitrofanov, V., Postiglione F, Quetschke, V., Minelli, J., Lin H., Cook, D., Hallam, J M, Mandic V, Bilenko IA, Kawazoe F., Lubinski M., Smith JR, Jones, D., Scott, S., Ruet L, Casebolt T, Pan Y., Evans T., Clark J., Martin, I, Zweizig J, Cadonati, L., Wen S, Barker D, Díaz M, Schediwy, S.W., Barker C, Willke B, Wipf, C.C., Khazanov, E, Brooks A, Sathyaprakash B. S., Blackburn, L, Cutler, R., Blackburn, K, Dietz A, Searle, A C, Somiya K, Munch, J, Dooley, K. L., Fritschel P, Kasprzyk, D, Sutton P. J., Dumas, J., Cannizzo, J, Rollins J., Principe M., Kozak, D, Heptonstall, A., Barish, B.C., Ogin, G., Whitcomb, S.E., Fotopoulos, N., Kamat, S., Melissinos A., Bilenko I. A., Vahlbruch H, Keppel, D.G., Jones, G., Russell, P., Rodriguez A, Gray M., Danilishin S, Cunningham, L, Bilenko, I., Sannibale, V, Chelkowski, S, Miao, H, Sun, K-X, Markowitz J., Mukhopadhyay H., Márka Z., Trias M, Marx, J N, Vyatchanin, S.P., Sarin, P., Ulmen, J., Ugolini D., Mittleman R, Doomes, E E, Adhikari R, Byer RL, Mavalvala, N., Worden, J, Marka, Z., Robinson C, Romano, J., Goetz E, Diaz, M., Robinson E. L., Gray, M, Bastarrika, M, Kokeyama, Keiko, Barker C., DeSalvo, R, Kawamura, S., Lam, P. K., Goetz E., Gray, C, Frey, R., Zhao, C, Ottens, R., Bodiya, T. P., Penn, S, Effler, A., Meyers, D., Traylor, G, Wen, S, Danilishin, S, Hanson J., Myers E., Slutsky, J, Kondrashov, V., Barker D., Black E., Frolov, V., Sutton PJ, Anderson, S.B., Brinkmann M, Ugolini D, Cannon, K, Owen, B J, Prix R, Charlton, P., Thorne, K., Zhang L., Moreno G, Martin, R., Reitze, D. H., Strain K. A., Harstad, E, Reitze, D H, Hallam, J.M., Fazi D., van der Sluys M, Waldman SJ, Nelson, J, Rüdiger A, Burmeister O., Cagnoli G, Nishizawa, A, Slagmolen, B.J.J., Grant A., Coyne, D., Giardina KD, Ivanov A., Lodhia, D, Rogan, A., Ajith P., Bullington A, Myers J., Bullington, A, Gray, Malcolm, Tanner, D. B., Woan G., Weinstein A, Prix, R, Vecchio A, Robinson, E.L., Cepeda, C, Saraf, S, Rainer N., Hild S, MacInnis, M., Messenger, Christopher, Schilling R, Dumas, J-C, Vaulin, R., Pedraza M., Hennessy M, Kawabe K, Jones R., Robinson, C, Goggin L., Freise, A, Marka, S., Siemens X., Mitrofanov, V. P., Byer, R. L., Giaime JA, Thacker J., Drever, R W P, Thorne, K. S., Dumas J. C., Dumas, J.C, Strom, D.M., Biswas, R, Siemens, X., Dergachev, V., Tokmakov, K., Rakhmanov, M, Weiss R, Gretarsson, A.M., Maros, E., Veitch, John, Schediwy SW, Finn, L.S., Giardina, K D, Brown, D.A., Wilkinson, C., Bork R, Kalogera V, Ottaway D. J., Miyakawa O., Mercer, R., Keppel, D G, Ruet, L., Goda K, Mittleman, R., Radkins, H., Aulbert C., Sarin, P, Kissel, J., Castaldi G., Willems, P A, Kozak, D., Meier T., Smith, N.D., Waldman, S.J., Cook D, Machenschalk B., Taylor R., Bogue, L, Worden J, Principe, M., Stone, R., Hough J, Huttner, S., Zucker, M, Gholami, I, Kozhevatov, I., Thorne K. A., Klimenko, S., Ryan K, Frolov V. V., Krishnan B, Goda, K, Guenther M, Doomes E. E., Hoak, D., Dhurandhar S., Stochino, A., Smith, J.R., Gras S., Gouaty, R, Sintes, A M, Markowitz, J., Garofoli, J., Lazzarini A, Shoemaker, D., Overmier, H, Keppel, D., Yoshida S, Vyatchanin, S P, Moreno G., Lei, M., Heefner, J, Barr B, Principe M, Sung M, Wette, K., Strain, K., Castaldi G, Robertson NA, Brinkmann, M., Vass S., Martin, I., Brown DA, Whiting, B.F., Yan, Z., Shawhan P., Gretarsson AM, Hanna C, Rainer N, Sun, K., Desai, S., Miller J., Sintes, A.M., Cardenas, L, Plissi, M., Mitselmakher G., Grote H, Rowan, S., Whiting, B., Mandic, V, Kalogera V., Strom DM, Kim, C, Barriga, P, Braginsky, V., Stein, L.C., Rakhmanov M, McKenzie, Kirk, Schwinberg, P, Echols C., Ryan, K, Minelli J., Danzmann, K., Dalrymple, J., Savage, R, Ajith, Parameswaran, Wu, W., Route R, Nash, T., Brooks, A, Gossler, S., Dwyer, J.G., McKenzie, K., Sutton, P.J., Wipf, C., Pan Y, Hanna, C, Slagmolen BJJ, Goda, K., Gretarsson, A., Martin, R M, Grant A, McHugh M, Kozhevatov, I, Hammer, D, Sengupta AS, Drever, R., Frey, R, Thüring A., Fricke T, Whelan, J., Patel, P, Williams L, Kokeyama K, Kawabe, K., Sun K. X., Dergachev V., Riesen R, Roddy S., Chatterji S, Patel P, Ingram D, Hayama K., Cunningham L, Lucianetti, A, Krishnan, B, Savov, P., Prix, R., Zanolin M., O'Shaughnessy, R., Bork R., Brau, J.E., G. Castaldi, Hayler T., Babak S, Dwyer, J., Landry, M, Gretarsson, A. M., Boschi V., Urbanek, K, Degallaix, J., Fan, Y., Saulson PR, Lei M, Yan Z., Brunet, G, Yamamoto, H., Dupuis RJ, Mercer, R. A., Kokeyama, K, Evans, T., Bayer K., Flasch K, Veitch, Peter John, Brinkmann, M, Cagnoli G., Kells, W., Hosken, Dave, Romano, Joseph David, Wilmut, I., Petrie T., Mailand, K., Romano, J.D., Ramsunder, M, Hild, S, Sorazu, B., Meyers D., Wilmut I., Wilkinson C., Sibley A., Vaulin, R, Smith, M.R., Hage B, Yoshida S., Anderson S. B., Gustafson, R, Samidi, M., Quetschke V., Leindecker, N, Cumming, A, Giaime, J., Rabeling, D S, Davies, G., Matone, L, Rudiger, A., Wipf, C. C., Ottaway DJ, Blackburn, K., Pinto I. M., Lam, P K, Wallace L., Sathyaprakash BS, Romie J, Ottaway, D., Mason, Kenneth R., Ogin G, Dupuis R. J., Yakushin, I, Dietz A., Johnson, W. W., Traylor G, Landry M, Pinto, I.M., Savov P, Bantilan, H, Braginsky, V.B., Johnson WW, Gouaty, R., Rodriguez, A, Torrie, C., O'Dell J, Summerscales, T.Z., Vorvick C., Shoemaker, D.H., Vyatchanin, S. P., Johnson, B., Casebolt, T., Lei M., Greenhalgh, R. J. S., Romie, J, Lin, H., Woan, G., Lormand M, Garofoli J, Waldman S. J., Müller Ebhardt H., Brady, P.R., Thorne K. S., Kwee, P, Byer, R.L., Roddy, S., Owen B. J., Mukherjee, S., Pan, Y., Corbitt T., Babak, S, Sinha S., Savov P., Stone, R, Aufmuth, P, Hough, J., Libbrecht, K, Wilmut I, Hallam, J., Rüdiger A., Bland B., Cook, D, Ottens RS, Vorvick, C., Wette, Karl, Cokelaer, T, Willke, B, Saulson, P R, Fairhurst, S, Anderson W. G., Rehbein, H., Shoemaker D. H., Hild, S., McCarthy R, Hage, B., Dooley KL, Bilenko, I A, Hewitson, M, Grunewald, S., Lindquist P., Sears B., Matzner R., McClelland, David, Smith, N., Greenhalgh, R., Lu, P., Doomes EE, Torres, C, Cutler, R. M., Brown, D A, Zotov N., Route R., Grimaldi, F, Johnson, W W, Whelan, J T, Cadonati L., Smith, M., Conte, R., Effler, A, Ottaway, D.J., McHugh M., Lu, P, Armor P., Blackburn, L., Lück H, Coyne D, The LIGO Scientific Collaboration, Ulmen J., Abbott B., Thorne, K S, Ito M, Zhang J., Weiss R., Smith, N. D., Wette K, Heng I. S., O'Reilly B., Wu W, Somiya K., Thorne, K A, McCarthy, R, Brunet, G., Braginsky VB, Brown D. A., Raab F, Katsavounidis, E, Lazzarini, A, Overmier H, Chalkley, E., Pitkin M. +999 morecore +3 more sourcesMerging of optoelectronic techniques for microwave signal generation [PDF]
, 2007 This paper describes some recent evolutions about optical generation of microwave signals. Among these, multiloop ring oscillator and harmonic generation allow both rise in frequency and wide tunability. Besides, using microresonators and optical sources Le Kernec, Arnaud, A. Le Kernec, M. Varon, Mollier, Jean-Claude, Varón-Durán, Margarita, J.-C. Mollier +5 morecore +1 more sourceTools for Verifying Classical and Quantum Superintegrability [PDF]
, 2010 Recently many new classes of integrable systems in n dimensions occurring in classical and quantum mechanics have been shown to admit a functionally independent set of 2n−1 symmetries polynomial in the canonical momenta, so that they are in fact ...Willard Miller, Jr., Willard Miller Jr., Kalnins, Ernie G., Miller, W., Jr., Jonathan M. Kress, Kress, J.M., Kress, Jonathan M., Ernest G. Kalnins, Kalnins, E.G. +8 morecore +1 more sourceClassic/Quantum Harmonic Oscillator [PDF]
, 2020 A Harmonic Oscillator is an integral part of periodic motion in Classical and Quantum Theory. For systems with small fluctuations near stable points of equilibrium, the Harmonic Oscillator serves as a good approximation for measuring eigenstates and wave Hitsman, Killian Jcore +1 more source