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Physics World

Mastering quantum mechanics

Published Mar 1, 2014• 3 citations
Publisher

Abstract

Leonard Susskind's book The Theoretical Minimum was a surprise bestseller in 2013, defying conventional wisdom about the perils of mixing equations and popular science.
DOI
10.1088/2058-7058/27/03/44

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Download [PDF] Quantum Mechanics: The Theoretical Minimum Full Pages

Download [PDF] Quantum Mechanics: The Theoretical Minimum Full Pages

Read Or Download Quantum Mechanics: The Theoretical Minimum Full Books By by {"isAjaxComplete_B001IGHNBE":"0","isAjaxInProgress_B001IGHNBE":"0"} Leonard Susskind (Author) › Visit Amazon's Leonard Susskind Page Find all the books, read about the author, and more. See search results for this author Are you an author? Learn about Author Central Leonard Susskind (Author), {"isAjaxComplete_B001IGHNBE":"0","isAjaxInProgress_B001IGHNBE":"0","isAjaxInProgress_B00HVLQXPM":"0","isAjaxComplete_B00HVLQXPM":"0"} Art Friedman (Author) › Visit Amazon's Art Friedman Page Find all the books, read about the author, and more. See search results for this author Are you an author? Learn about Author Central Art Friedman (Author)\n\nRead Online => Read Quantum Mechanics: The Theoretical Minimum\n\nDownload Book => Download Quantum Mechanics: The Theoretical Minimum\n\nQuantum Mechanics: The Theoretical Minimum pdf download\nQuantum Mechanics: The Theoretical Minimum read online\nQuantum Mechanics: The Theoretical Minimum epub\nQuantum Mechanics: The Theoretical Minimum vk\nQuantum Mechanics: The Theoretical Minimum pdf\nQuantum Mechanics: The Theoretical Minimum amazon\nQuantum Mechanics: The Theoretical Minimum free download pdf\nQuantum Mechanics: The Theoretical Minimum pdf free\nQuantum Mechanics: The Theoretical Minimum pdf\nQuantum Mechanics: The Theoretical Minimum epub download\nQuantum Mechanics: The Theoretical Minimum online\nQuantum Mechanics: The Theoretical Minimum epub download\nQuantum Mechanics: The Theoretical Minimum epub vk\nQuantum Mechanics: The Theoretical Minimum mobi\n\n\n#downloadbook #book #readonline #readbookonline #ebookcollection #ebookdownload #pdf #ebook #epub #kindle

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Often, the microscopic interaction mechanism of an open quantum system gives rise to a `counter term' which renormalises the system Hamiltonian. Such term compensates for the distortion of the system's potential due to the finite coupling to the environment. Even if the coupling is weak, the counter term is, in general, not negligible. Similarly, weak-coupling master equations feature a number of `Lamb-shift terms' which, contrary to popular belief, cannot be neglected. Yet, the practice of vanishing both counter term and Lamb shift when dealing with master equations is almost universal; and, surprisingly, it can yield better results. By accepting the conventional wisdom, one may approximate the dynamics more accurately and, importantly, the resulting master equation is guaranteed to equilibrate to the correct steady state in the high-temperature limit. In this paper we discuss why is this the case. Specifically, we show that, if the potential distortion is small – but non-negligible – the counter term does not influence any dissipative processes to second order in the coupling. Furthermore, we show that, for large environmental cutoff, the Lamb-shift terms approximately cancel any coherent effects due to the counter term – this renders the combination of both contributions irrelevant in practice. We thus provide precise conditions under which the open-system folklore regarding Lamb shift and counter terms is rigorously justified.

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Read Or Download Quantum Mechanics: The Theoretical Minimum Full Books By by {"isAjaxComplete_B001IGHNBE":"0","isAjaxInProgress_B001IGHNBE":"0"} Leonard Susskind (Author) › Visit Amazon's Leonard Susskind Page Find all the books, read about the author, and more. See search results for this author Are you an author? Learn about Author Central Leonard Susskind (Author), {"isAjaxComplete_B001IGHNBE":"0","isAjaxInProgress_B001IGHNBE":"0","isAjaxInProgress_B00HVLQXPM":"0","isAjaxComplete_B00HVLQXPM":"0"} Art Friedman (Author) › Visit Amazon's Art Friedman Page Find all the books, read about the author, and more. See search results for this author Are you an author? Learn about Author Central Art Friedman (Author)\n\nRead Online => Read Quantum Mechanics: The Theoretical Minimum\n\nDownload Book => Download Quantum Mechanics: The Theoretical Minimum\n\nQuantum Mechanics: The Theoretical Minimum pdf download\nQuantum Mechanics: The Theoretical Minimum read online\nQuantum Mechanics: The Theoretical Minimum epub\nQuantum Mechanics: The Theoretical Minimum vk\nQuantum Mechanics: The Theoretical Minimum pdf\nQuantum Mechanics: The Theoretical Minimum amazon\nQuantum Mechanics: The Theoretical Minimum free download pdf\nQuantum Mechanics: The Theoretical Minimum pdf free\nQuantum Mechanics: The Theoretical Minimum pdf\nQuantum Mechanics: The Theoretical Minimum epub download\nQuantum Mechanics: The Theoretical Minimum online\nQuantum Mechanics: The Theoretical Minimum epub download\nQuantum Mechanics: The Theoretical Minimum epub vk\nQuantum Mechanics: The Theoretical Minimum mobi\n\n\n#downloadbook #book #readonline #readbookonline #ebookcollection #ebookdownload #pdf #ebook #epub #kindle
Quantum mechanics (QM) is astonishingly successful as a theoretical framework, underpinning countless scientific areas and providing the impetus behind entire technologies. Many scientists suspect that physical reality is fundamentally quantum in nature, even if we perceive little of this in our everyday human experience. This is the viewpoint of “quantum fundamentalism.” Yet, the conceptual implications of QM defy common sense, to such an extent that popular culture largely perceives of QM as a source of counterintuitive weirdness. At the same time, bestselling self-help manuals portray QM as a source of hidden healing power within, while spiritual readings invoke QM as a bridge to the divine, or as a source of theological analogies. Scientists often denounce these mystical approaches as “quantum quackery,” but I examine their serious side. I argue that, for quantum fundamentalism to function as a worldview, it should inform a sense of human purpose, something for which theological analysis is well equipped.
Often, the microscopic interaction mechanism of an open quantum system gives rise to a `counter term' which renormalises the system Hamiltonian. Such term compensates for the distortion of the system's potential due to the finite coupling to the environment. Even if the coupling is weak, the counter term is, in general, not negligible. Similarly, weak-coupling master equations feature a number of `Lamb-shift terms' which, contrary to popular belief, cannot be neglected. Yet, the practice of vanishing both counter term and Lamb shift when dealing with master equations is almost universal; and, surprisingly, it can yield better results. By accepting the conventional wisdom, one may approximate the dynamics more accurately and, importantly, the resulting master equation is guaranteed to equilibrate to the correct steady state in the high-temperature limit. In this paper we discuss why is this the case. Specifically, we show that, if the potential distortion is small – but non-negligible – the counter term does not influence any dissipative processes to second order in the coupling. Furthermore, we show that, for large environmental cutoff, the Lamb-shift terms approximately cancel any coherent effects due to the counter term – this renders the combination of both contributions irrelevant in practice. We thus provide precise conditions under which the open-system folklore regarding Lamb shift and counter terms is rigorously justified.