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| <title>Physics Batch 02 - Quantum Mechanics - Programming Framework Analysis</title> | |
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| <h1>Physics Batch 02 - Quantum Mechanics - Programming Framework Analysis</h1> | |
| <p>This document presents quantum mechanics processes analyzed using the Programming Framework methodology. Each process is represented as a computational flowchart with standardized color coding: Red for triggers/inputs, Yellow for structures/objects, Green for processing/operations, Blue for intermediates/states, and Violet for products/outputs. Yellow nodes use black text for optimal readability, while all other colors use white text.</p> | |
| <h2>1. Wave Function Process</h2> | |
| <div class="figure"> | |
| <div class="mermaid"> | |
| graph TD | |
| A1[Quantum State] --> B1[Wave Function Method] | |
| C1[Superposition State] --> D1[Probability Amplitude] | |
| E1[Measurement Process] --> F1[Wave Function Analysis] | |
| B1 --> G1[Schrodinger Equation] | |
| D1 --> H1[Wave Function Collapse] | |
| F1 --> I1[Quantum Measurement] | |
| G1 --> J1[Time Evolution] | |
| H1 --> K1[Eigenstate Selection] | |
| I1 --> L1[Observable Operator] | |
| J1 --> M1[Quantum Coherence] | |
| K1 --> L1 | |
| L1 --> N1[Measurement Outcome] | |
| M1 --> O1[Quantum Interference] | |
| N1 --> P1[State Reduction] | |
| O1 --> Q1[Wave Function Process] | |
| P1 --> R1[Wave Function Validation] | |
| Q1 --> S1[Wave Function Verification] | |
| R1 --> T1[Wave Function Result] | |
| S1 --> U1[Wave Function Analysis] | |
| T1 --> V1[Wave Function Parameters] | |
| U1 --> W1[Wave Function Output] | |
| V1 --> X1[Wave Function Analysis] | |
| W1 --> Y1[Wave Function Final Result] | |
| X1 --> Z1[Wave Function Complete] | |
| style A1 fill:#ff6b6b,color:#fff | |
| style C1 fill:#ff6b6b,color:#fff | |
| style E1 fill:#ff6b6b,color:#fff | |
| style B1 fill:#ffd43b,color:#000 | |
| style D1 fill:#ffd43b,color:#000 | |
| style F1 fill:#ffd43b,color:#000 | |
| style G1 fill:#ffd43b,color:#000 | |
| style H1 fill:#ffd43b,color:#000 | |
| style I1 fill:#ffd43b,color:#000 | |
| style J1 fill:#ffd43b,color:#000 | |
| style K1 fill:#ffd43b,color:#000 | |
| style L1 fill:#ffd43b,color:#000 | |
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| style Q1 fill:#ffd43b,color:#000 | |
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| style S1 fill:#ffd43b,color:#000 | |
| style T1 fill:#ffd43b,color:#000 | |
| style U1 fill:#ffd43b,color:#000 | |
| style V1 fill:#ffd43b,color:#000 | |
| style W1 fill:#ffd43b,color:#000 | |
| style X1 fill:#ffd43b,color:#000 | |
| style Y1 fill:#ffd43b,color:#000 | |
| style Z1 fill:#ffd43b,color:#000 | |
| style M1 fill:#51cf66,color:#fff | |
| style N1 fill:#51cf66,color:#fff | |
| style O1 fill:#51cf66,color:#fff | |
| style P1 fill:#51cf66,color:#fff | |
| style Q1 fill:#51cf66,color:#fff | |
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| style S1 fill:#51cf66,color:#fff | |
| style T1 fill:#51cf66,color:#fff | |
| style U1 fill:#51cf66,color:#fff | |
| style V1 fill:#51cf66,color:#fff | |
| style W1 fill:#51cf66,color:#fff | |
| style X1 fill:#51cf66,color:#fff | |
| style Y1 fill:#51cf66,color:#fff | |
| style Z1 fill:#51cf66,color:#fff | |
| style Z1 fill:#b197fc,color:#fff | |
| </div> | |
| <div style="margin-top: 1rem; display: flex; flex-wrap: wrap; gap: 0.5rem; justify-content: center;"> | |
| <div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;"> | |
| <span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#ff6b6b;"></span>Triggers & Inputs | |
| </div> | |
| <div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;"> | |
| <span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#ffd43b;"></span>Wave Function Methods | |
| </div> | |
| <div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;"> | |
| <span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#51cf66;"></span>Wave Function Operations | |
| </div> | |
| <div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;"> | |
| <span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#74c0fc;"></span>Intermediates | |
| </div> | |
| <div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;"> | |
| <span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#b197fc;"></span>Products | |
| </div> | |
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| <div class="figure-caption"> | |
| <strong>Figure 1.</strong> Wave Function Process. This quantum mechanics process visualization demonstrates wave function evolution and measurement. The flowchart shows quantum inputs and superposition states, wave function methods and probability amplitudes, wave function operations and measurement processes, intermediate results, and final wave function outputs. | |
| </div> | |
| </div> | |
| <h2>2. Quantum Entanglement Process</h2> | |
| <div class="figure"> | |
| <div class="mermaid"> | |
| graph TD | |
| A2[Entangled State] --> B2[Quantum Entanglement Method] | |
| C2[Bell State] --> D2[Correlation Measurement] | |
| E2[Quantum Communication] --> F2[Quantum Entanglement Analysis] | |
| B2 --> G2[EPR Paradox] | |
| D2 --> H2[Bell Inequality] | |
| F2 --> I2[Quantum Teleportation] | |
| G2 --> J2[Non Local Correlation] | |
| H2 --> K2[Hidden Variable Test] | |
| I2 --> L2[Quantum Channel] | |
| J2 --> M2[Quantum Coherence] | |
| K2 --> L2 | |
| L2 --> N2[Entanglement Distillation] | |
| M2 --> O2[Quantum Error Correction] | |
| N2 --> P2[Entanglement Swapping] | |
| O2 --> Q2[Quantum Entanglement Process] | |
| P2 --> R2[Quantum Entanglement Validation] | |
| Q2 --> S2[Quantum Entanglement Verification] | |
| R2 --> T2[Quantum Entanglement Result] | |
| S2 --> U2[Quantum Entanglement Analysis] | |
| T2 --> V2[Quantum Entanglement Parameters] | |
| U2 --> W2[Quantum Entanglement Output] | |
| V2 --> X2[Quantum Entanglement Analysis] | |
| W2 --> Y2[Quantum Entanglement Final Result] | |
| X2 --> Z2[Quantum Entanglement Complete] | |
| style A2 fill:#ff6b6b,color:#fff | |
| style C2 fill:#ff6b6b,color:#fff | |
| style E2 fill:#ff6b6b,color:#fff | |
| style B2 fill:#ffd43b,color:#000 | |
| style D2 fill:#ffd43b,color:#000 | |
| style F2 fill:#ffd43b,color:#000 | |
| style G2 fill:#ffd43b,color:#000 | |
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| style M2 fill:#51cf66,color:#fff | |
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| style V2 fill:#51cf66,color:#fff | |
| style W2 fill:#51cf66,color:#fff | |
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| style Z2 fill:#51cf66,color:#fff | |
| style Z2 fill:#b197fc,color:#fff | |
| </div> | |
| <div style="margin-top: 1rem; display: flex; flex-wrap: wrap; gap: 0.5rem; justify-content: center;"> | |
| <div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;"> | |
| <span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#ff6b6b;"></span>Triggers & Inputs | |
| </div> | |
| <div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;"> | |
| <span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#ffd43b;"></span>Quantum Entanglement Methods | |
| </div> | |
| <div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;"> | |
| <span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#51cf66;"></span>Quantum Entanglement Operations | |
| </div> | |
| <div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;"> | |
| <span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#74c0fc;"></span>Intermediates | |
| </div> | |
| <div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;"> | |
| <span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#b197fc;"></span>Products | |
| </div> | |
| </div> | |
| <div class="figure-caption"> | |
| <strong>Figure 2.</strong> Quantum Entanglement Process. This quantum mechanics process visualization demonstrates quantum entanglement and non-local correlations. The flowchart shows entangled inputs and Bell states, quantum entanglement methods and correlation measurements, quantum entanglement operations and quantum communication, intermediate results, and final quantum entanglement outputs. | |
| </div> | |
| </div> | |
| <h2>3. Quantum Computing Process</h2> | |
| <div class="figure"> | |
| <div class="mermaid"> | |
| graph TD | |
| A3[Quantum Algorithm] --> B3[Quantum Computing Method] | |
| C3[Qubit Initialization] --> D3[Quantum Gate Operation] | |
| E3[Quantum Measurement] --> F3[Quantum Computing Analysis] | |
| B3 --> G3[Quantum Circuit] | |
| D3 --> H3[Quantum Fourier Transform] | |
| F3 --> I3[Quantum Error Correction] | |
| G3 --> J3[Quantum Gates] | |
| H3 --> K3[Quantum Parallelism] | |
| I3 --> L3[Decoherence Control] | |
| J3 --> M3[Quantum Superposition] | |
| K3 --> L3 | |
| L3 --> N3[Quantum Interference] | |
| M3 --> O3[Quantum Algorithm Execution] | |
| N3 --> P3[Quantum State Readout] | |
| O3 --> Q3[Quantum Computing Process] | |
| P3 --> R3[Quantum Computing Validation] | |
| Q3 --> S3[Quantum Computing Verification] | |
| R3 --> T3[Quantum Computing Result] | |
| S3 --> U3[Quantum Computing Analysis] | |
| T3 --> V3[Quantum Computing Parameters] | |
| U3 --> W3[Quantum Computing Output] | |
| V3 --> X3[Quantum Computing Analysis] | |
| W3 --> Y3[Quantum Computing Final Result] | |
| X3 --> Z3[Quantum Computing Complete] | |
| style A3 fill:#ff6b6b,color:#fff | |
| style C3 fill:#ff6b6b,color:#fff | |
| style E3 fill:#ff6b6b,color:#fff | |
| style B3 fill:#ffd43b,color:#000 | |
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| style Z3 fill:#b197fc,color:#fff | |
| </div> | |
| <div style="margin-top: 1rem; display: flex; flex-wrap: wrap; gap: 0.5rem; justify-content: center;"> | |
| <div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;"> | |
| <span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#ff6b6b;"></span>Triggers & Inputs | |
| </div> | |
| <div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;"> | |
| <span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#ffd43b;"></span>Quantum Computing Methods | |
| </div> | |
| <div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;"> | |
| <span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#51cf66;"></span>Quantum Computing Operations | |
| </div> | |
| <div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;"> | |
| <span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#74c0fc;"></span>Intermediates | |
| </div> | |
| <div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;"> | |
| <span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#b197fc;"></span>Products | |
| </div> | |
| </div> | |
| <div class="figure-caption"> | |
| <strong>Figure 3.</strong> Quantum Computing Process. This quantum mechanics process visualization demonstrates quantum computing algorithms and qubit operations. The flowchart shows algorithm inputs and qubit initialization, quantum computing methods and gate operations, quantum computing operations and measurement, intermediate results, and final quantum computing outputs. | |
| </div> | |
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| <p><strong>Generated using the Programming Framework methodology</strong></p> | |
| <p>Each flowchart preserves maximum detail through optimized Mermaid configuration</p> | |
| <div class="contact-info"> | |
| <p><strong>Gary Welz</strong></p> | |
| <p>Retired Faculty Member</p> | |
| <p>John Jay College, CUNY (Department of Mathematics and Computer Science)</p> | |
| <p>Borough of Manhattan Community College, CUNY</p> | |
| <p>CUNY Graduate Center (New Media Lab)</p> | |
| <p>Email: gwelz@jjay.cuny.edu</p> | |
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