{"product_id":"zero-point-ladder-plate-040-physics-poster","title":"Zero-Point Ladder – Plate 040 Physics Poster","description":"\u003cp\u003ePlate 40 speaks for itself: \u003cem\u003e“Even at rest, never still.”\u003c\/em\u003e\u003c\/p\u003e\u003ch3\u003eThe Physics\u003c\/h3\u003e\u003cp\u003eA quantum harmonic oscillator has evenly spaced energy levels, and the lowest is not zero: even in its ground state it keeps ħω\/2 of zero-point energy.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eE_n = ħω (n + ½)\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eE_n: energy of level n, J\u003c\/li\u003e\n\u003cli\u003eħ: reduced Planck constant, 1.054571817×10⁻³⁴ J s\u003c\/li\u003e\n\u003cli\u003eω: angular frequency, rad s⁻¹\u003c\/li\u003e\n\u003cli\u003en: quantum number 0, 1, 2, …, dimensionless\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eEven at n = 0 the energy is ħω\/2. Rungs are evenly spaced by ħω.\u003c\/p\u003e\u003ch3\u003eSources\u003c\/h3\u003e\u003cul\u003e\u003cli\u003eD. J. Griffiths, Introduction to Quantum Mechanics, 3rd ed., §2.3.\u003c\/li\u003e\u003c\/ul\u003e\u003ch3\u003eOn the poster\u003c\/h3\u003e\u003cp\u003ePlate 040, “Zero-Point Ladder”: the pixel-art plate with its slogan “Even at rest, never still.”, the key equation and the facts panel shown above. Pixelated Physics. Physics. Personified.\u003c\/p\u003e","brand":"Printify","offers":[{"title":"9'' x 12\" (Vertical) \/ Matte","offer_id":50961920622695,"sku":"21864951765132165191","price":19.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Fine Art","offer_id":50961920655463,"sku":"36486348976131881043","price":29.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Semi Glossy","offer_id":50961920688231,"sku":"30105637065045692879","price":19.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Fine Art","offer_id":50961920720999,"sku":"13532315589732640092","price":44.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Semi Glossy","offer_id":50961920753767,"sku":"29166479682657815663","price":29.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Matte","offer_id":50961920786535,"sku":"29078779180737326343","price":29.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Matte","offer_id":50961920819303,"sku":"15253265540488816016","price":69.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Fine Art","offer_id":50961920852071,"sku":"27542254836894070512","price":119.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Semi Glossy","offer_id":50961920884839,"sku":"20873619414762512879","price":69.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/10817265571799561843_2048.jpg?v=1793633816","url":"https:\/\/pixelatedphysics.com\/nl\/products\/zero-point-ladder-plate-040-physics-poster","provider":"Pixelated Physics","version":"1.0","type":"link"}