Quantenmechanik: Skalarprodukt und Hilbert-Raum • vAzS 124 | Josef M. Gaßner

The modern quantum mechanical description of the world of the very small demands a high level of abstraction. What exactly do the mathematical terms vector space, completeness, scalar product, Hilbert space, linear dependence, orthogonal basis, etc., mean? This video is part of the playlist "From Aristotle to String Theory" Link to the playlist ►    • Von Aristoteles zur Stringtheorie   Big Bang, Universe and Life (www.urknall-weltall-leben.de) Scientists explain science Books related to the channel ► https://urknall-weltall-leben.de/shop... Live lectures ► https://www.josef-gassner.de/veransta... Donate ► https://urknall-weltall-leben.de/spen... Subscribe ► https://www.youtube.com/user/UrknallW... Thank you to everyone who supports our project!

Infinite-dimensional quantum world • Vertical basis in Hilbert space • vAzS (125) | Josef M. Gaßner
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Infinite-dimensional quantum world • Vertical basis in Hilbert space • vAzS (125) | Josef M. Gaßner

Neil Turok’s stunningly simple, testable new theory of the universe
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Neil Turok’s stunningly simple, testable new theory of the universe

How possibilities become reality: Eigenvalue • Eigenvector • Operator #vAzS129 | Josef M. Gaßner
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How possibilities become reality: Eigenvalue • Eigenvector • Operator #vAzS129 | Josef M. Gaßner

Supernova Ia standard candles not as accurate as thought! • vAzS (119) | Josef M. Gaßner
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Supernova Ia standard candles not as accurate as thought! • vAzS (119) | Josef M. Gaßner

Affäre Lügenfritz und Bärbel Bas als Motorradbraut
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Affäre Lügenfritz und Bärbel Bas als Motorradbraut

Reinventing Entropy | Compression is Intelligence Part 1
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Reinventing Entropy | Compression is Intelligence Part 1

Something is jamming GPS over Europe. Here's what we found
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Something is jamming GPS over Europe. Here's what we found

Fourier Transform • From Schrödinger to Heisenberg Uncertainty • vAzS (123) | Josef M. Gaßner
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Fourier Transform • From Schrödinger to Heisenberg Uncertainty • vAzS (123) | Josef M. Gaßner

Complex Numbers • Why in Quantum Mechanics? • vAzS (121) | Josef Gaßner
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Complex Numbers • Why in Quantum Mechanics? • vAzS (121) | Josef Gaßner

Was ist ein Hilbertraum?
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Was ist ein Hilbertraum?

What is a Hilbert Space?
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What is a Hilbert Space?

The Hardest Questions in Physics | World Science Festival
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The Hardest Questions in Physics | World Science Festival

What is a differential equation? | Limits of knowledge
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What is a differential equation? | Limits of knowledge

Rätselhafte Anomalie im Kosmos • Inhomogene Kosmologie • Axis of Evil • vAzS(113) | Josef M. Gaßner
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Rätselhafte Anomalie im Kosmos • Inhomogene Kosmologie • Axis of Evil • vAzS(113) | Josef M. Gaßner

Kernkollaps - Supernova • 3D-Simulation • Neutrinos treiben SN Typ II • vAzS (89) | Josef M. Gaßner
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Kernkollaps - Supernova • 3D-Simulation • Neutrinos treiben SN Typ II • vAzS (89) | Josef M. Gaßner

How (and why) to take a logarithm of an image
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How (and why) to take a logarithm of an image

Interview with an old-school mathematics teacher
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Interview with an old-school mathematics teacher

The speed of light can be measured (one-way) • vAzS (102) | Josef M. Gaßner
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The speed of light can be measured (one-way) • vAzS (102) | Josef M. Gaßner

Do Imaginary Numbers Reveal a Hidden Layer of Reality?
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Do Imaginary Numbers Reveal a Hidden Layer of Reality?

Something Strange Happens When You Trust Quantum Mechanics
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Something Strange Happens When You Trust Quantum Mechanics