Youtor
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=j0oyf3tciw8
This lecture is a prelude to coherent state path integral quantization. Coherent states are eigenstates of the harmonic oscillator lowering operator. These states are extremely important in quantum mechanics, but unfortunately they are not treated in detail in most standard quantum mechanics courses. Here I describe the basic properties of coherent states that will be useful for path integral quantization - a topic we will start discussing from the next lecture.","styleRuns":[{"startIndex":0,"length":468,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":468,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CMUBELsvGAIiEwio39Pa8_CLAxUF8U8IHdAtLl8=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC2owb3lmM3RjaXc4GAYyJSIRIgtqMG95ZjN0Y2l3ODAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CMUBELsvGAIiEwio39Pa8_CLAxUF8U8IHdAtLl8=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CMQBELovIhMIqN_T2vPwiwMVBfFPCB3QLS5f"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"xtumGDkwp3Q","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/xtumGDkwp3Q/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AH-CYAClAWKAgwIABABGEQgZShPMA8= rs=AOn4CLAJRwJnKGQ2NjQ43KQc3UpyCGSLog","width":168,"height":94},{"url":"https://i.ytimg.com/vi/xtumGDkwp3Q/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAApQFigIMCAAQARhEIGUoTzAP rs=AOn4CLAkMQeSkDuYN-Xg_2ezaU087PRpoA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Phase, group and signal velocities : does phase or group velocity exceeding c violate relativity? by Ananda Dasgupta 122 views 1 month ago 1 hour, 6 minutes"}},"simpleText":"Phase, group and signal velocities : does phase or group velocity exceeding c violate relativity?"},"longBylineText":{"runs":[{"text":"Ananda Dasgupta","navigationEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwio39Pa8_CLAxUF8U8IHdAtLl8yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@ananda_dg","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCxXQysr2hao1dZdpS7qP8Mw","canonicalBaseUrl":"/@ananda_dg"}}}]},"publishedTimeText":{"simpleText":"1 month ago"},"viewCountText":{"simpleText":"122 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"1 hour, 6 minutes, 1 second"}},"simpleText":"1:06:01"},"navigationEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwio39Pa8_CLAxUF8U8IHdAtLl8yB3JlbGF0ZWRIj5by2vfPjKWPAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=xtumGDkwp3Q","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"xtumGDkwp3Q","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=c6dba6183930a774 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1091250 mt=1741107204 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Ananda Dasgupta","navigationEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwio39Pa8_CLAxUF8U8IHdAtLl8yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@ananda_dg","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCxXQysr2hao1dZdpS7qP8Mw","canonicalBaseUrl":"/@ananda_dg"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_k7jw3ZSYbqXwZCrhrRIcMGDhSCl5PVh2bdFHZs_l8=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CL0BEKQwGAAiEwio39Pa8_CLAxUF8U8IHdAtLl9A9M7CyYPD6e3GAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"122 views"}},"simpleText":"122 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMIBEP6YBBgFIhMIqN_T2vPwiwMVBfFPCB3QLS5f","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMIBEP6YBBgFIhMIqN_T2vPwiwMVBfFPCB3QLS5f","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"xtumGDkwp3Q","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMIBEP6YBBgFIhMIqN_T2vPwiwMVBfFPCB3QLS5f","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["xtumGDkwp3Q"],"params":"CAQ%3D"}},"videoIds":["xtumGDkwp3Q"]}},{"clickTrackingParams":"CMIBEP6YBBgFIhMIqN_T2vPwiwMVBfFPCB3QLS5f","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CMMBELlqIhMIqN_T2vPwiwMVBfFPCB3QLS5f"}},"popupType":"TOAST"}}]}},"trackingParams":"CMIBEP6YBBgFIhMIqN_T2vPwiwMVBfFPCB3QLS5f"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CMEBENGqBRgGIhMIqN_T2vPwiwMVBfFPCB3QLS5f","offlineVideoEndpoint":{"videoId":"xtumGDkwp3Q","onAddCommand":{"clickTrackingParams":"CMEBENGqBRgGIhMIqN_T2vPwiwMVBfFPCB3QLS5f","getDownloadActionCommand":{"videoId":"xtumGDkwp3Q","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CMEBENGqBRgGIhMIqN_T2vPwiwMVBfFPCB3QLS5f"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwio39Pa8_CLAxUF8U8IHdAtLl8=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgt4dHVtR0Rrd3AzUQ%3D%3D","commands":[{"clickTrackingParams":"CL0BEKQwGAAiEwio39Pa8_CLAxUF8U8IHdAtLl8=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMABEI5iIhMIqN_T2vPwiwMVBfFPCB3QLS5f","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CL0BEKQwGAAiEwio39Pa8_CLAxUF8U8IHdAtLl8=","hasSeparator":true}}],"trackingParams":"CL0BEKQwGAAiEwio39Pa8_CLAxUF8U8IHdAtLl8=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"1 hour, 6 minutes, 1 second"}},"simpleText":"1:06:01"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CL8BEPnnAxgBIhMIqN_T2vPwiwMVBfFPCB3QLS5f","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"xtumGDkwp3Q","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CL8BEPnnAxgBIhMIqN_T2vPwiwMVBfFPCB3QLS5f","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"xtumGDkwp3Q"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CL8BEPnnAxgBIhMIqN_T2vPwiwMVBfFPCB3QLS5f"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CL4BEMfsBBgCIhMIqN_T2vPwiwMVBfFPCB3QLS5f","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CL4BEMfsBBgCIhMIqN_T2vPwiwMVBfFPCB3QLS5f","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"xtumGDkwp3Q","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CL4BEMfsBBgCIhMIqN_T2vPwiwMVBfFPCB3QLS5f","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["xtumGDkwp3Q"],"params":"CAQ%3D"}},"videoIds":["xtumGDkwp3Q"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CL4BEMfsBBgCIhMIqN_T2vPwiwMVBfFPCB3QLS5f"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Phase, group and signal velocities : does phase or group velocity exceeding c violate relativity? - 1 hour, 6 minutes - Go to channel - Ananda Dasgupta - 122 views - 1 month ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/HEV_3k4avh4/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLAit60mWlin4-443p7muzOYXN2DhA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/HEV_3k4avh4/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLAPAw_n5CUk4iQ-n98hxwp3Jzfpmg","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"9 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3355443,"darkTheme":3355443}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":4144959,"darkTheme":4144959}}},"stackColor":{"lightTheme":10066329,"darkTheme":9211020}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Path Integrals in Quantum mechanics"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Ananda Dasgupta
#############################
